Wednesday, December 31, 2008

DECEMBER VERBAL

ORKUT VERBAL DATABASE (Till Dec 31st)


1. Halcyon

2. Wayne

3. Altruism

4. Atonement

5. Asunder

6. Commensurate

7. Meek

8. Penurious

9. Sangfroid

10. Cessation

11. Procrastinate

12. Recalcitrant

13. Rapacious


Issue Topic:

1. It is a grave mistake to theorize before one has data.

2. About media scrutiny on people reputations diminished


Argument Topic:

1. The following appeared as part of a letter to the editor of a local newspaper.
"During her three years in office, Governor Riedeburg has shown herself to be a worthy leader. Since she took office, crime has decreased, the number of jobs created per year has doubled, and the number of people choosing to live in our state has increased. These trends are likely to continue if she is reelected. In addition, Ms. Riedeburg has promised to take steps to keep big companies here, thereby providing jobs for any new residents. Anyone who looks at Ms. Riedeburg's record can tell that she is the best-qualified candidate for governor."

ORKUT VERBAL DATABASE (Till Dec 30th)


1. Futility

2. Muddle

3. Inimical

4. Embrace

5. Ossified

6. Preemptory

7. Reticent

8. Epitomic

9. Taint

10. Exacerbate

11. Fiasco

12. Lurk

13. Brevity

13. Voluble

14. Exculpate

15. Unadulterated

16. Fatuous

17. Complacency

18. Fathomable


Analogies:

1. Trial: Courtroom

2. Lurk: Wait

3. Fathomable: Regret


Issue Topic:

1. One can best understand the characteristics of its society, by studying the major cities of the state.


ORKUT VERBAL DATABASE (Till Dec 29th)


1. Equivocation

2. Dire

3. Harangue

4. Mulish

5. Voluble

6. Entice

7. Gainsay

8. Thwart

9. Banquet


Analogies:

1. Banquet: meal

2. Alarmist: Warning

3. Siren: Heard


Issue Topic:

1. "A picture can give more information than a piece of text"

2. "If you have a goal which is worthy, you should achieve it by any means "


Argument Topic:

1. Anti aging in human beings based on anti aging compounds used on rats.....
(Something like this)

ORKUT VERBAL DATABASE (Till Dec 26th)


1. Tawdry

2. Perception

3. Lull

4. Tacit

5. Contrite

6. Uncanny

7. Quibble

8. Reminiscence

9. Nepotism

10. Surfeit

11. Cinnamon


Analogies:

1. Cinnamon: Spices

2. Audit : Account


Issue Topic:

1. People's dress, look and act reveals their interest and attitude. One can tell the value of society in which people live by their dressing and look.
(Something like this)


ORKUT VERBAL DATABASE (Till Dec 24th)


1. Exude

2. Quislings

3. Obdurate

4. Gratuitous

5. Ignominy

5. Lubricant

6. Harangue

7. Mollify


Analogies:

1. Lubricant: friction

2. Harangue: mollify


Issue Topic:

1. "It is always an individual who is the impetus for innovation; the details may be worked out by a team, but true innovation results from the enterprise and unique perception of an individual".

2."Many problems of modern society cannot be solved by laws and the legal system because moral behavior cannot be legislated".


Argument Topic:

1. The following appeared in a letter to the editor of a Batavia newspaper.
"The department of agriculture in Batavia reports that the number of dairy farms throughout the country is now 25 percent greater than it was 10 years ago. During this same time period, however, the price of milk at the local Excello Food Market has increased from $1.50 to over $3.00 per gallon. To prevent farmers from continuing to receive excessive profits on an apparently increased supply of milk, the Batavia government should begin to regulate retail milk prices. Such regulation is necessary to ensure both lower prices and an adequate supply of milk for consumers".


ORKUT VERBAL DATABASE (Till Dec 23rd)


1. Exanimate

2. Rile

3. Augmented

4. Lacerated

5. Offhand

6. Graze

7. Stultify

8. Tendentious

9. Boor

10. Turncoat

11. Fastidiousness

12. Nadir

13. Acme


Analogies:

1. Nadir: Acme


Issue Topic:

1. "Money spent on research is always a good investment, even when the results of that research are controversial".

2."The best way to understand the character of society is to examine the character of men and women that the society chooses as its heroes or heroines".


ORKUT VERBAL DATABASE (Till Dec 22nd)


1. Hasten

2. Diminution

3. Turbulent

4. Infuriate

5. Garrulous

6. Imbue

7. Upbraid

8. Surreptitious

9. Patent

10. Vivid

11. Inane


Analogies:

1. Spontaneous: Planning

2. Vivid: Inspiration

3. Inane: Significance

ORKUT VERBAL DATABASE (Till Dec 19th)


1. Gruffness

2. Hearsay

3. Recidivism

4. Quagmire

5. Proselytize

6. Priggish

7. Peregrination

8. Baneful

9. Facet

10. Invigorate

11. Cortege

12. Orator

13. Loft

14. Bifurcate

15. Obtuse

16. Propensity

17. Saunter

18. Canyon

19. Gully

20. Deflated

21. Discretion


Analogies:

1. Tree: Bark

2. Saunter: Walk

3. Canyon: Gully

4. Skin: Person

5. Puncture: Deflated

6. Discretion: Diplomatic

7. Mosquito: Netting


Issue Topic:

1. History won’t help in taking imp decisions of today.

2. Research priorities are being set up for science, education and any other field will it save the human lives if the results are successful.


Argument Topic:

1. Regarding the power-lift gyms whether to invest the money on those gyms and national surveys indicate that most of the people are supporting that those power lift-gyms are going to be poplar and more profitable.
(Something like that)

ORKUT VERBAL DATABASE (Till Dec 18th)


1. Ruminative

2. Morose

3. Intangible

4. Teeter

5. Hoary

6. Arabesque

7. Malleable

8. Imply

9. Endow


Analogies:

1. Philanthropist: Endow


Issue Topic:

1. Technologies not only influence but actually determine social customs and ethics.


ORKUT VERBAL DATABASE (Till Dec 17th)


1. Discretion

2. Cavil

3. Chronological

4. Spurious

5. Lionize

6. Restive

7. Invigorate

8. Demur

9. Parsimonious

10. Skimp

11. Countenance


Analogies:

1. Parsimonious: Skimp

2. Countenance: Toleration


Issue Topic:

1. Education will be effective, only if it is modified to the meet the individual interests of the student.


Argument Topic:

1. A survey was conducted on 500 middle-aged men to determine relationship between exercise and longevity. They have been monitored for 10 years. The men were of various occupations and belong to different locations. Among those who responded, many said that they did vigorous outdoor exercises daily. Hence, based on the direct relationship between exercise and longevity, doctors should not recommend moderate exercises to all the patients.
(Some thing like this)

ORKUT VERBAL DATABASE (Till Dec 16th)


1. Munificent

2. Restive

3. Affable

4. Torrid

5. Austerity

6. Garble

7. Dapper

8. Hapless

9. Tenable

10. Laconic

11. Parsimonious

12. Grimace

13. Ennui

14. Propensity

15. Blunt

16. Elucidate

17. Abate


Analogies:

1. Abate: Force

2. Mosquito: Netting


Issue topic:

1. "Those who treat politics and morality as though they were separate realms fail to understand either the one or the other."

2. "The human mind will always be superior to machines because machines are only tools of human minds."


Argument topic:

1. The nation of Claria covers a vast physical area. But despite wide geographic differences, many citizens are experiencing rising costs of electricity. A recent study of household electric costs in Claria found that families who cooled their houses with fans alone spent more on electricity than did families using air conditioners alone for cooling. However, those households that reported using both fans and air conditioners spent less on electricity than those households that used either fans or air conditioners alone. Thus, the citizens of Claria should follow the study's recommendation and use both air conditioners and fans in order to save money on electricity.

ORKUT VERBAL DATABASE (Till Dec 15th)


1. Aligned

2. Catholic

3. Synergy

4. Unbuttoned

5. Profundity

6. Manumit

7. Tendentious

8. Friated

9. Afflatus

10. Ruminative

11. Truncate

12. Squall

13. Ladle


Analogies:

1. Truncate: Length

2. Squall: Commotion

3. Soup: ladle


Issue Topic:

1. The only responsibility for corporate executives as long as they stay within the law is to increase money for the company.

ORKUT VERBAL DATABASE (Till Dec 12th)


1. Chicanery

2. Nuance

3. Countenance

4. Circuitry

5. Austerity

6. Obfuscate

7. Perspicacious

8. Mottle

9. Buttress

10. Edifice


Analogies:

1. Buttress: Edifice

2. Range: Mountain

3. Branch: Tree


Issue Topic:

1. Should the authorities be questioned for the well being of the society.


ORKUT VERBAL DATABASE (Till Dec 10th)


1. Dilettante

2. Garbled

3. Conundrum

4. Resilience

5. Subterfuge

6. Mulish

7. Gaunt

8. Pugnacious

9. Perplex

10. Recant

11. Dust jacket


Analogies:

1. Recant: Spend

2. Dust jacket: books

3. Irrelevant: pertain


ORKUT VERBAL DATABASE (Till Dec 9th)


1. Evoke

2. Taut

3. Effervesce

4. Malaise

5. Ruminative

6. Inept

7. Commotion

8. Repudiate

9. Consolidate

10. Garbled

11. Convoluted


Analogies:

1. Garbled: Comprehend

2. Convoluted: Complexity


ORKUT VERBAL DATABASE (Till Dec 8th)


1.Peremptory

2.Imbue

3.Emulate

4.Infuriate

5.Deplore

6.Ostracize

7.Exacerbate

8.Thwart

9.Stymie

10.Deplore

11.Vile


Analogies:

1.Deplore: vile

2.Friction: oil


Issue Topic:

1.Tradition and modernization are incompatible; one has to choose between them.


ORKUT VERBAL DATABASE (Till Dec 5th)


1. Taciturnly

2. Stinting

3. Draconian

4. Drivel

5. Propensity

6. Accrue

7. Voracious

8. Oblivion

9. Obduracy

10. Panache

11. Debilitate

12. Ruminate

13. Palpable

14. Repertoire

15. Slake

16. Apocryphal


Analogies:

1. Slake: Thirst

2. Apocryphal: Authenticity


ORKUT VERBAL DATABASE (Till Dec 4th)


1. Bibulous

2. Tauter

3. Sunder

4. Slack

5. Hoodwink

6. Extort

7. Buoyant

8. Flamboyance


Issue Topic:

1. In any form of art the work can be merited only, if it is understood by most of the people.

2. Some educational systems are based on reasoning and logical thinking, but students are more benefitted by education which burst out there emotions.
(Something like that)


Argument Topic:

1. It is regarding merging of two states in the USA.

2. To increase the speed limits in a highway.


ORKUT VERBAL DATABASE (Till Dec 3rd)


1.Draconian

2.Stinting

3.Accrue

4.Drivel

5.Taciturnly

6. Chuckle

7. Miff

8. Aesthetic

9. Taut

10. Lubricant

11. Abrasion

12. Orator

13. Articulate


Analogies.

1.Lubricant: Abrasion

2.Orator: Articulate

3. Chuckle: Laugh


Issue topic:

1.For professionals and academics imaginative thinking is more important than knowledge.


Argument Topic:

1. A company wants to choose a road contractor for putting road for the company’s shopping mall.... & so on…..
(Similar to this)







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Tuesday, December 30, 2008

DECEMBER QUANT

ORKUT QUANT DATABASE (Till Dec 31st)



1. Col A: The remainder when 4^20 is divided by 5
Col B: The remainder when 3^12 is divided by 4

2. Given x = 2.135678, n is number of digits after decimal part of x. If l(x-y)l = 0.0004, then the maximum value of n is
A. 1
B. 2
C. 3
D. 4
E. 5

3. Given that one 5 meters length wire is cut into 2 pieces cross-wise. If one of them is x meters, then
Col A: Length of other piece
Col B: 5-x

4. In a total of 160 members, 25% are women and 45% are non-minority members. If 1/9 of the women are minority members, then what is the total number of people who are neither women nor minority members?

5. If -10 < = x < = 10 & -11 < = y < = 11, then what is the greatest possible value of y - x?

6. If the surface area of one side of the cube is 36, then
Col A: The volume of the cube
Col B: 15

7. Col A: Standard Deviation of n-4, n-2, n, n+2 & n+4
Col B: Standard Deviation of n-2, n-1, n, n+1 & n+2

8. If sum of the two base areas of a cylinder is equal to its curved surface area, then what is the relation between 'r' and 'h'?

9. Col A: 10!+9!
Col B: 10(9!)

10.

Here ‘C’ is the centre and those lines are tangents to the circle which meets at ‘O’. If the angle it makes is 60` and the area enclosed by angle C is 27pie then what is the circumference of the circle?

11. If 15 * 40 * 160 = (2^3)*(4^x)*(5^y), then find the value x+y?

12. The two legs of a right angle triangle are in the ratio 3 is to 1. If the length of the hypotenuse is sqrt(40), then find the perimeter of the triangle?
A. 14 to 15
B. 13 to 14
C. 12 to 13
D. 11 to 12
E. 10 to 11

13. If x^2 - x > 0 and lxl < 1, then
Col A: lxl
Col B: x

14. In triangle ABC, if AB= AC= 4, then
Col A: BC
Col B: 5

15. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

16. Given a series of numbers 1, -1, 2, -2, 3, -3.......
Col A: The sum of the first 67 terms
Col B: 34

17. Col A: 4*sqrt(4)
Col B: sqrt(36)

18. Given P, Q and R are on the same plane, if 'R' is 5units away from 'P' and if 'P' is 13 units away from ‘Q’, then how many 'd' units is ‘R’ from ‘Q’?
i. d > =8
ii. d < =18
iii. 5 < =d < =13
A. I only
B. I & II
C. III only
D. II & III

& few previous database questions…..

ORKUT QUANT DATABASE (Till Dec 30th)


1. From a set of positive numbers 1 to 100, two numbers x & y are to be selected at random.
Col A: Probability that the two numbers x & y are even
Col B: Probability that the sum of two numbers selected is even

2. If n is a multiple of 35, then
Col A: Number of prime factors of n
Col B: 4

3. The two legs of a right angle triangle are in the ratio 3 is to 1. If the length of the hypotenuse is sqrt(40), then find the perimeter of the triangle?
A. 14 to 15
B. 13 to 14
C. 12 to 13
D. 11 to 12
E. 10 to 11

4. The relationship between a and b is defined as
a @ b = a/b - b/a, then
l. For a=! 0, a@a = 0
ll. For b=! 0, b@1/b = 1
lll. For (a*b) =! 0, a @ b = -(b @ a)
A. I
B. ll
C. l & ll
D. ll & lll
E. l & lll

5. If x < y < 0, then
Col A: xy
Col B: y - x

6. Given that P1, P2, P3 work together to complete a work in 4hrs. If P1 & P2 can complete the work in 6days, then P3 alone can complete the work in how many days?
(Something like this)

7. If x^2 - x > 0 and lxl < 1, then
Col A: lxl
Col B: x

8. Given that a telephone exchange has numbers from 3000 to 3799 group. If Group1 contains numbers starting with 33 and 34 and if manager numbers of the Group1 end with either 0 or 1, then find the percentage of managers present in the company?
A. 6%
B. 7%
C. 5%
D. 8%
E. 9%

9. Col A: 2^-1 + 3^-1 + 4^-1
Col B: 1^-1

10. If 8k - 5m = 15 & 2k + m = 15, then
Col A: k
Col B: m

11.

Given a figure like above of concentric circles 'S' and 'R', the radius of inner circle 'S' is given as 'x'& the distance between outer circle and inner circle is given as 'y'. If the area of inner circle is equal to area of the shaded region, then what is 'y' in terms of 'x'?
A. x/sqrt(2)
B. x*sqrt(2)
C. x{sqrt(2) + 1}
D. x{sqrt(2) – 1}
& so on……

12. If 40% of y is multiplied to 50% of 3y, then how much percent is it to 2y^2?
A. 0.6%
B. 1.5%
C. 3%
D. 6%
E. 12%

13.

Given a cylinder like above, if radius of the cylinder is 1 and height is 6(not sure), then
Col A: Area of the shaded region
Col B: 5pie
ORKUT QUANT DATABASE (Till Dec 29th)


1. If y = 2x+3 & xy < 0, then the value of 'x' lies between?

2.

Given a figure as above with an equilateral triangle placed on one of the short side of the rectangle. If the triangle side length is x & the length of rectangle is 5 times more than x, then find the perimeter of the polygon?

3. Col A: The remainder when 4^10 is divided by 5
Col B: The remainder when 3^12 is divided by 5

4. Given a point 4 on positive x-axis in the coordinate system, then find the next positive even number less than 4?

5. Given a triangle with side lengths 6.1 & 8.1 and longest side length as 14. Find the angle between length sides 6.1 and 8.1?

6. Given that one 5 meters length wire is cut into 2 pieces. If one of them is x meters, then
Col A: Length of other piece
Col B: 5-x

7. Given x = 2.135678, n is number of digits after decimal part of x. If l(x-y)l = 0.0004, then the maximum value of n is
A. 1
B. 2
C. 3
D. 4
E. 5

8. If the surface area of a cube 'C' is 384, then what is surface area of a cube having edge length, half that of the edge length of cube 'C'?

ORKUT QUANT DATABASE (Till Dec 26th)


1. A rectangular solid is given which consists of 10 cubes in 1 row and 3 cubes in 1 column. In that manner there are 10 rows and 3 columns. If the length of edge of the cube is 1, then what is the surface area of the rectangular solid?

2. In a total of 160 members, 25% are women and 45% are non-minority members. If 1/9 of the women are minority members, then what is the total number of people who are neither women nor minority members?

3. In triangle ABC, if AB= AC= 4, then
Col A: BC
Col B: 5

4. If -10 <= x <= 10 & -11 <= y <= 11, then what is the greatest possible value of y - x?

5. In a box there are 12 dimes, 4 quarters & 26 diamonds. If 4 are removed, then what is the probability that 3 are dimes(Provided should be removed without replacement)?

6. Given sides of a triangle. Find the area of triangle?

7. Col A: Quadratic square of -12, 3 & 10
Col B: Arithematic mean of -12, 3 & 10

8. How many cubes of edge length 1 and 2 can be fitted into the rectangular solid, if the volume of the rectangular solid is 35*10*15?

9. In a college, 1/15 of the students are absent ,1/4 of present went to a field. If the students present in school are 1000, then how much is the actual strength of the school?

10. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

11. Given a series of numbers 1, -1, 2, -2, 3, -3.......
Col A: The sum of the first 67 terms
Col B: 34

12.Given length of hall is 48 feet and width of hall is 10 feet. If it has to be covered by square tiles of length 8 inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

13. Given that, the probability that it won't rain tommorrow is 0.46
Col A: The probalility that it wil rain tommorrow at temperature of 85degree centigrade
Col B: 0.54

14.If xy > 0, then
Col A: x+y
Col B: 0

15. Given a graph of some irregular shape in quadrants with each unit as 5 mts and asked to find approximate area of the figure?

16. Given that a telephone exchange has numbers from 1000 to 1799 group. If Group A contains numbers starting with 33 & 34 and directors numbers end with either 0 or 1, then find the percentage of directors present in Group A? (Instead of telephone numbers, car numbers were given)
A. 6%
B. 7%
C. 5%
D. 8%
E. 4%

17. If xy > 0 , then
Col A: x+y
Col B: 0

18. Given two points (3, 4) and (t, t) and if the slope of the line is negative, then
Col A: t
Col B: 3
ORKUT QUANT DATABASE (Till Dec 24th)


1. If an integer is defined as (-1)^n then which of the following is applicable for integers a and b ?
i. a+b = a*b;
ii. (a+b)=(a)+(b);
iii. (a*b)=(a)*(b);
A. Only i.
B. Only ii.
C. Both i and ii
D. All the three
E. None

2. If a < b < c and if they are the angles of the triangle, then
Col A: a+b
Col B: c

3. If (x - y) = odd value and K is an integer, which of the following is always odd?
A. x
B. y
C. k(x-y)
D. (x-y)^(2)
E. (x-y+k)

4. Given a triangle with sides 5 ,6 and 8. If angle opposite to side 5 is 'x' and angle opposite to side 6 is 'y', then
Col A: x+y
Col B: 90

5. If the surface area of the cube is 36, then
Col A: The volume of the cube
Col B : 15

6. If x > y, then
Col A: x^2
Col B: y^2

7. Col A: (sqrt(48) + sqrt(27) )^2
Col B: 3

8. Col A: Standard Deviation of 1, 1, 1, 1 & 1
Col B: 1


ORKUT QUANT DATABASE (Till Dec 23rd)


1. If 'N' is a 3 digit number where hundreds place is 'x' and units place is 'y' then what will be the factor for N-100x-y?
A. 3
B. 4
C. 5
D. 6
E. 7

2. If a*b is defined by a*b = (a/b)-(b/a)
i. a*a = 0
ii. b*(1/b)=1
iii. a*b = -(b*a)
A. i is correct
B. i & ii are correct
C. ii & iii are correct
D. i, ii & iii are correct
E. None of the above

3. If x + y = 12, z^2 + 1 = 7
Col A: Average(arithematic mean) of x, y & z
Col B: 5

4. If a solution of 'P' grams contains 5% of salt and if another solution of 500g which contains 3.5% salt is added to P, then how much solution is still to be added to make the total solution 4%salt?
A.75
B.100
C.1000
D. 2000
E. 2500

5. Given five interior angles of pentagon x, x, x, x-90 & x+80. What is the value of x?
A.105
B.106
C.107
D.104
E.108

6. Col A: (0.9/1.1)^2+(1.1/0.9)^2
Col B: 2

7. In triangle ABC, if AB = 6, BC = 8 & <B = 90 then
Col A: Area of triangle ABC
Col B: 24

8. Given that a telephone exchange has numbers from 1000 to 1799 group. A contains numbers starting with 33 and 34 and directors numbers end with either 0 or 1. Find the percentage of directors present in Group A?
A. 6%
B. 7%
C. 5%
D. 8%
E. 4%

9. If xy > 0, then
Col A: x+y
Col B: 0

10. A person collects various coins, if he buys a foreign coin for $15 and sells it for $25 and again buys it for $35 and sells it for $45 then which of the above is true?
A. Has a profit of $20
B. Has a profit of $15
C. Has a loss of $10
D. Has a profit of $10
E. Has profit $0

11. Col A: 4*sqrt(4)
Col B: sqrt(36)

12. Col A: Standard Deviation of 4, 6, 7 & 9
Col B: Standard Deviation of 3, 6, 7 & 10

13.

Given a figure like above of concentric circles 'S' and 'R', the radius of inner circle 'S' is given as 'x'& the distance between outer circle and inner circle is given as 'y'. If the area of inner circle is equal to area of the shaded region, then what is 'y' in terms of 'x'?
A. 1/sqrt(x)
B. x(sqrt(2)-1)
C. x(sqrt(2)+1)
D. 1/x^2
E. 1/x

14. Given Population of a city in 1980 as ‘p’, if it increases at a rate of 3.6 every year, then
Col A: What is the population of city in 1982?
Col B: 1.073

15. Given P, Q and R are on the same plane, if 'R' is 5units away from 'P' and if 'P' is 13 units away from ‘Q’, then how many 'd' units is ‘R’ from ‘Q’?
i. d > =8
ii. d < =18
iii. 5 < =d < =13
A. I only
B. I & II
C. III only
D. II & III

16. If 'x' and 'y' are integers between 12 and 30, then for (5+x)/(7+y) how many sets of x & y for the given expression will be having ratio 5/7?
A.4
B.5
C.2
D.6
E.3

ORKUT QUANT DATABASE (Till Dec 22nd)


1. Given length of a hall as 48 feet and width as 10 feet. If it has to be covered by square tiles of length 8inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

2. Given a cylinder like above, if radius of the cylinder is 1 and height is 6(not sure), then
Col A: Area of the shaded region
Col B: 5pie

3. If 'N' is a 3 digit number where hundreds place is 'x' and units place is 'y' then what will be the factor for N-100x-y?
A. 3
B. 4
C. 5
D. 6
E. 7

4. The value of (7)^2 * (840)^(-6) is ............
(Options were given in terms of powers)

5. How many numbers are there between 100 and 999 which start with odd number and ends with 01?
6. What is the equation of the line passing through y=mx+a, whose 'y' intercept is twice the 'x' intercept?
(It is a quantitative comparison question with Col A & Col B)

7. Given a table as follows

No. of Employee Work hours
1 50
2
.
.
. 20
.
.
.
100 70

Find the mean of the data?
(Similar to this)

8. Given that a value
In 1993 it is x%,
In 1994 it is 30% more than 1993 &
In 1995 it is 20% less than 1994.
Col A: What percent of 1995 is 1993
Col B: 105%

9. If lxl - x = lxl - 2, then
Col A: x
Col B: -1/2

10. If the simple interest of a principal amount Rs.600 at certain length of time is Rs.90, then what is its rate of interest?

11. If (x+1) / {x(x+1)} = (x+2) / {x(x+2)}, then find x?

12. Given two lines that are perpendicular to each other. Slope of one line is given and asked to find the slope of other line?

13. If -3 < = x < = 6 & 3 < = y < = 6, then what is the greatest positive value of -x^2 + y^4?

14.

Given a figure like above. What is the distance between points ‘a’ and ‘b’?
& few previous database questions.
ORKUT QUANT DATABASE (Till Dec 19th)


1. Col A: Standard Deviation of 4, 6, 7 & 9
Col B: Standard Deviation of 3, 6, 7 & 10

2. Given two points (3,3 ) and (5,5) and line y= 2x + 3
Col A: Slope of line
Col B: 1

3. If xy > 0, then
Col a: x+y
Col b: 0

4. Given a line y = ax+b, what is the slope of the line?

5. Col A: Standard Deviation of 0, 1, 2 & 4
Col B: Standard Deviation of 2, 3, 4 & 5

6. Given that 500 people were asked two questions whether to say either 'yes' or 'no'. Of that, if 410 people said yes to first one and 220 people said yes to second question. What is the least number that said yes to both?
A. 90
B.110
C.150
D.190
E. 220

7. If sum of the two base areas of a cylinder is equal to its curved surface area, then what is the relation between 'r' and 'h'?

8. Given a triangle with sides AB=5 & BC=13. If AB:BC = 5:13, then what is ratio of BC:AC?

9. If a coin is tossed once, the probability of getting head is 1/2 and if it is tossed 4 times, then what is the probability of getting 3 heads?

10. If a line with equation 3y-2x=19 is plotted on a graph, then which of the points meets x-axis?
(Something like this)

11. If a value(some variable) in 1990 is 30% more than that of 1989, and is 20% increased in 1991, then
Col A: Value in 1991 compared to 1989 as percent
Col B: 105%
(Some thing like this)

12. Col A: 10!+9!
Col B: 10(9!)

13. In a class, the average age of 55 girls is 'g' and that of 45 boys is 'b'. If b>g, then
Col A: The average age of these 100 students
Col B: (b+g)/2

14. If x = 27, y = 3 & z = 14, then
Col A: Sqrt{(x^2+y^2+z^2)/3}
Col B: Arithmetic mean of x, y & z


ORKUT QUANT DATABASE (Till Dec 18th)


1. If n/12 is the odd integer, then what is the value of n?
A. 24
B. 48
C. 60
D. 72

2.

Given a square with circle inscribed in it, as above and if the length of the diagonal is 16sqrt(2), then what is the value of radius?

3. If sum of the two base areas of a cylinder is equal to its curved surface area, then what is the relation between 'r' and 'h'?

4. If f(x) = x^2, then
Col A: f(x)
Col B: f(x-1)

5. If the quadratic mean is defined as sqrt(a^2 + b^2+ c^2), then
Col A: The quadratic mean of -20, 10 & 4
Col B: The arithmetic mean of -20, 10 & 4

6. Given ratio of two sides of a right angle triangle as 3:1 and if the hypotenuse length is sqrt(40), then what is the perimeter of the triangle?

7. Col A: [(-0.2)^-1][(0.5)^-2]
Col B: [(-0.2)^-1][(-0.5)^-2]

ORKUT QUANT DATABASE (Till Dec 16th)


1. Given two points (3, 4) and (t, t) and if the slope of the line is negative, then
Col A: t
Col B: 3

2. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

3.

Given a figure like above of concentric circles ‘S’ and ‘R’, the radius of inner circle ‘S’ is given as ‘x’& the distance between outer circle and inner circle is given as ‘y’. If the area of inner circle is equal to area of the shaded region, then what is ‘x’ in terms of ‘y’?

4. Given Population of a city in 1980 as ‘p’, if it increases at a rate of 3.6 every year.
What is the population of city in 1982?
(Similar to this)

5. Col A: Standard Deviation of 4, 6, 7 & 9
Col B: Standard Deviation of 3, 6, 7 & 10
(Something of this sort)

6. Given
s(n) = 1; if n is even
s(n) = -1; if n is odd
then what is the value of 2^s(3) - 4^s(3)?

7. The value of 2^-3 + 2^-2 + 2^-1
A. 2^(-6) *7
B. 2^(-3) *6
C. 2^(-3) *7
D. 2^(-3) *3

8. Col A: (2/3)^1*(3/2)^-1
Col B: 1

9. If x^2 - x > 0 and |x| < 1, then
Col A: x
Col B: |x|

10. If x & y are the integers between 13 & 29, then how many sets of values of x & y, will give the ratio of 5/7?

11. If 'S' is a set of all integers that are multiples of 3 & multiples of 5, provided it should be of 2 digits, then find the range of S?
A. 81
B. 77
C. 87
D. 89
E. 91

12.

If x > 90degrees, then
Col A: Area of triangle ABC
Col B: 25

13. If 0 < x < 5 & 0 < y < 15, then which of the following are true?
i. x < y
ii. x + y > 15
iii. & some other condition in terms of x &y

A. Only i
B. Only ii
C. Both i & ii
D. Only iii
& so on…..

ORKUT QUANT DATABASE (Till Dec 15th)


1.Given volume of a sphere with radius ‘r’ is 4/3*pie*r^3, now if radius of another sphere is ‘2r’ then how many times is the second sphere bigger than first sphere?

2. Given that there are 6 people, 3 girls and 3 boys. Find the number of ways they can be seated on 6 chairs, such that a boy and a girl must seat together?

3. How many positive integers are divisible by 2 and 3 below 54?

4. A price of product ‘x’ is increased by ‘p%’ to give new price ‘y’ and then price of ‘y’ is reduced by ‘r%’ to give original price.
Col A: p
Col B: r

5. If 'x' is divisible by 3, then what is the next large number divisible by three?
A. x+3
B. x+1
C. x+2
D.3x

6. Given P, Q and R are on the same plane, if 'R' is 5units away from 'P' and if 'P' is 13 units away from Q, then how many 'd' units is R from Q?
i. d > =8
ii. d < =18
iii. 5 < =d < =13
A. I only
B. I & II
C. III only
D. II & III

7. If 8k - 5m = 15 & 2k + m = 15, then
Col A: k
Col B: m

8. Col A: (1/2)+(1/3)+(1/4)
Col B: 1

9. If 40% of y is multiplied to 50% of 3y, then how much percent is it to 2y^2s?

10. Col A: (2/3)^1*(3/2)^-1
Col B: 1

11.

A square ABCD is given in which quadrilateral PQRS (such that 'P' lies on AD, 'Q' lies on AB, 'R' lies on BC & 'S' lies on CD) was inscribed. If PR was given parallel to CD and if the length of CD is given as 10, then
Col A: Area of the portion shaded (which doesn't lie in the quadrilateral)
Col B: 50

12. Col A: (78)(4)-(94)(5)
Col B: (73)(4)+(94)(5)

13. The value of ((48)^(1/2)*(27)^(1/2)) is .................?

14. If the mean of 6, 10, 2, m+1 & m is 5, then what is the median of the five terms?

15. Given that 7 workers working together finish a work in 140 hrs. If starting 4 workers takes 'h' hrs each and rest 3 takes '2h' hrs each to complete the work then what is the difference between the median and mean of the individual working hours?

ORKUT QUANT DATABASE (Till Dec 12th)


1. The value of 2^-3 + 2^-2 + 2^-1
A. 2^(-6) *7
B. 2^(-3) *6
C. 2^(-3) *7
D. 2^(-3) *3
& so on….

2.

What could not be the possible value of x?
A. 15
B. 11
C. 8
& some other options(less than numerical value 15) were given.

3. If ‘R’ is 30% of ‘S’ and ‘S’ is 40% of ‘T’, then what is the relation between ‘R’ and ‘T’?

4. Given length of hall is 48 feet and width of hall is 10 feet. If it has to be covered by square tiles of length 8 inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

5.

Given a cylinder like above, if radius of the cylinder is 1 and height is 6(not sure), then
Col A: Area of the shaded region
Col B: 5pie

6. If 10 < 2k < 16 and 7 < k+3 < 10, then
Col A: k
Col B: 6

7. Standard Deviation and mean of a set of numbers were given. Even the largest & smallest numbers of the set were also given and question is how many numbers are there in the set?
(similar to this)

ORKUT QUANT DATABASE (Till Dec 10th)


1. Given that, the probability that it won't rain tomorrow is 0.46
Col A: The probability that it will rain tomorrow at temperature of 85degree centigrade
Col B: 0.54

2. If 'N' is a 3 digit number where hundreds place is 'x' and units place is 'y' then what will be the factor for N-100x-y?
A. 3
B. 4
C. 5
D. 6
E. 7


3. If 'S' is a set of all integers that are multiples of 3 & multiples of 5, provided it should be of 2 digits, then find the range of S?
A. 81
B. 77
C. 87
D. 89
E. 91
(Given question is similar to this)

4. Find the number of possible values of x & y in the expression (5+x)/(7+y), so that the resultant ratio is 5:7 where x and y lie between 12 and 29?

5. If -2 < x < -1, then
Col A: 1/x^3
Col B: 1/x


ORKUT QUANT DATABASE (Till Dec 9th)


1. A triangle ABC is given, in which lengths of two sides were given as BC = 12 , AC = 13 and the perimeter of the triangle is 32.
Col A: Measure of angle of B
Col B: 90

2. Given the average of seven numbers as 35. When k is added to it, if the average of eight numbers remains 35, then what is the value of k?

3. Col A: 2^-1 + 1/(2)^-1
Col B: (3)^-1 + 1/(3)^-1

4. If x > 0 and y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

5. Given a cube consisting of small tiles of dimension 1feet, the small tiles spread across length are 9 in amount, across height are 3 in amount and across width are 6 in amount{not sure}. Find the total surface area of cube?

6. Given a circular flower garden with radius 'r' and a stone walk surrounds the garden whose thickness is given as half the circular garden.
Col A: Area of circular garden
Col B: Area of stone walk

ORKUT QUANT DATABASE (Till Dec 8th)


1. For n/12, what is the value of n whose remainder is odd integer?

2. If 'x' and 'y' are integers between 12 and 30, then for (5+x)/(7+y) how many sets of x & y for the given expression will be having same ratio?

3. Given five consecutive numbers, if the highest value of them is x, then what is the average of the numbers?

4. Given series 1, 1, 1, 1, 1
Col A: Standard Deviation of given series
Col B: 1

5.

Given a figure like above i.e. a square whose side is equal to diameter of the circle, find the area of circle?
(Similar to this)

6. A teacher teaches biology for a group 53 students. She can divide them into two batches P and Q. P has 7 batches of ‘n’ students each. Q has ‘x’ students of five batches; or six students with ‘y’ students in 5 batches and (y+1) students in 6th batch.
Col A: x
Col B: n

7. If x is a positive number, then
Col A: x^2
Col B: 1/x^2

ORKUT QUANT DATABASE (Till Dec 5th)


1. Given N is a positive odd integer. If the number in the tens digit is double the digit at the units place then what is the value of N?
A. n > 90
B. 30 < N
C. N > 50
D. 30 < N < 50

2. Given a series of numbers 1, -1, 2, -2, 3, -3.......
Col A: The sum of the first 67 terms
Col B: 34

3.

Given a figure like above, with the sector angle given as 45degree & the side of the square is given as 'x'. Find the area of the shaded region?

4. If a, b, c are three integers with value 0, 1 or 2 and if (3^2)a + 3b + c = 25, then what is the value of a + b + c?

5. Given
3.s(n) = 1; if n is even
3.s(n) = -1; if n is odd
then what is 2^s(3) - 3^s(4)?

6. Given length of hall is 48 feet and width of hall is 10 feet. If it has to be covered by square tiles of length 8 inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

7. Given four consecutive numbers and if the least number is x, then what is the arithmetic mean in terms of x?
(given question is similar to this)

8. If y > 0, 2x = y + 1, then for xy>0 what is the value of x?

ORKUT QUANT DATABASE (Till Dec 4th)


1. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

2. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7

3. There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y

4. If the probability of not raining tomorrow is 0.56, then
Col A: Probability of not raining tomorrow, when temperature is above 85 centigrade
Col B: 0.58

5. Col A: 10! + 9!
Col B: 10(9!)

6. If x & y are the integers between 13 & 29, then for 5+x/7+y how many sets of values of x & y for the given expression will be in same ratio?

7. If x/x-1 = x-2/x+1
Col A: x
Col B: 2/3

ORKUT QUANT DATABASE (Till Dec 3rd)


1. There are 1 badger and 1 panderer. If each badger has 6 flavors and each panderer has 3 flavors, then what is the total number of ways of selecting 4 flavors from badger and 1 flavor from panderer?

2. Given 'A' works 25mins to produce 1 ton of oil and 'B' works 30mins to produce 1 ton of oil, If they work simultaneously, then in how many hours they can produce 15 tons of oil?

3. 1/2(10^6) =??
A. 5*10^5
& four other options were given.

4. Col A: (0.02)^2
Col B: (-0.05)^2

5. If -10 < = X < = 6, then what is the maximum possible greatest value of -X^2+X^4?

6. If length of the rectangle is 16 and perimeter is 40, then what is the area of the rectangle?

7. If 'A' is three times of 'B' and 'B' is five times of 'C', then how many times is 'A' when compared to 'C'?
A.15
B.14x
C.15x
D.10x
& so on....

8. If the arithmetic mean of 4 boys salary is X and average of 3 girls salary is y, then
Col A: Mean of 7 members salary
Col B: (x+y)/2

9. Given that there are 'x' girls and boys are 4 more than girls, if the probability of girls from the total(G+B) is 3/7, then totally how many girls are there?

10. In a line, if x-intercept is given as 2 and Y-intercept is given as 8, then which of the following below is true?
A. y-intercept is always 4 times of x-intercept.
B. y-intercept is always 6 more than x-intercept.
& 3 more options were given

11. A graph is given, in that 2 lines are drawn. Line L1 is drawn from left-right downward and line L2 is drawn left-right upward.
Col A: Slope of line L1
Col B: Slope of line L2
(Given question is something like this)

12. There are 4 members and each of their salary is 'h' and the mean of their salary is 'x' dollars & there are other 3 members each of their salary is 2h and the mean of their salary is 'y' dollars.
Col A: Standard Deviation of salary of 4 members
Col B: Standard Deviation of salary of all 7 members
(Given question is similar to this).

13.

Here L1 & L2 are parallel. Area of triangles ABC & area of triangle DEF are given (some value).
Col A: Length of DG
Col B: Length of CF

14.

Here ‘C’ is the centre and those lines are tangents to the circle which meets at ‘O’. If the angle it makes is 60`(or 30`-- not sure), then what is the circumference of the circle?

Sunday, November 30, 2008

NOVEMBER QUANT

ORKUT QUANT DATABASE (Till Nov 30th)

1. (0.401)(0.211)(0.197)
--------------------------- = ?
(0.434)(0.107)(0.153)

2. When n is divided by 7 reminder is 4; what is reminder when (n*2+5)/7?
Ans: 6

3. Col A: Sqrt(11+6)
Col B: Sqrt (11) + sqrt(6)
Ans: B

4. A line intersects the Y-axis at (0,a) and X-axis at (a,0). If the line passes through the point (-3,-3), find the value of a.
Ans: -6

5. In a room there are more than 12 members which are divided into a 5 member,8 member and a 12 member group.Find the least possible members in room such that finally non are left.
Ans: 120

6. A group can charter a particular aircraft at a fixed total cost.If 36 people charter aircraft rather than 40,loss per person is 12$. What is cost per person if 40 people charter it?

7. A figure was given in which (2x+1) degree and 75 degree forms a straight angle. Find X ?
Ans: 52

8. r^3 = (5^9/5^6)
Col A : r
Col B : 5
Ans: C

9. Col A: (5^n/5^k)^2
Col B: (n/k)^2
Ans: D

10. 3x+6y = 6
Col A : x intercept
Col B : y intercept
Ans: A

11. Three points in the coordinate system were given (4,5), (-2,-1) and (1,k) and all lie on the same line.
Col A: k
Col B: 2
Ans: C

12. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A
13. x1, x2, x3, x4 & x5 are the events Rate of occurance of them are r1, r2, r3, r4 & r5
E = x1r1+x2r2+x3r3+x4r4+x5r5/(x1+x2+x3+x4+x5)
x1=r1=1
x2=r2=2
x3=r3=3
x4=r4=4
x5=r5=5. Find E?
Ans: 11/3

14. Two concentric circles with the inner circle having radius 6 feet. The path around the inner circle is 2 feet wide and a wall is to be constructed on the path. If the concrete is to be 0.06 deep, then how much concrete will be required?
Ans: 1.68 pi

15. x is an integer such that x > 2
Cola: number of even factors of 2x
Colb: number of odd factors of 3x
Ans: D

16. A semicircle was given with area =2pie. Find the perimeter of the semicircle?
Ans: 2pie+4

17. check the diag here ->

Given x= y and EF || BC
COL A: area of triangle ABC
COL B: area of triangle DEF
Ans: (if EF = BC then ans is C)


ORKUT QUANT DATABASE (Till Nov 29th)


1.2^(2n+1)- 2^2n = 2^1000. Find n?
A)500
B)1000
C)2000
Ans: A

2.Col A: (0.91^2/1.1^2)+(1.1^2/0.91^2)
Col B: 2
Ans: B

3.Col A: Perimeter of a square with area 32
Col B: Perimeter of a rectangle with area 42
Ans: D

4. A formula was given to find the value for n years in thousands .
Formula: 0.01n^2 + 10n + 2000 .
Col a : value for 10 years.
Col b : 2100000
Ans: A

5. Col A : (5^n/5^k) ^2
Col B : (n/k)^2
Ans: D

6. w+6,S+6,p+6 has Standard Deviation k then what will be the Standard Deviation for w,s,p?
a.6k+6
b.18k
c.8k+18
d.6k
e. none
Ans: e

7.On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?
A. 4
B. 24
C. 64
D. 81
E. 128
Ans: D

8.There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is 0.06m, what is the volume of the concrete used in constructing the tank?
Ans: 1.68pi cu.m

9.Compare :
Col A: square root of (125+169)
Col B: sqaure root of 125 +square root of 169.
Ans: B

10. Given two lines 'l' and 'm' which are parallel to each other. There are two points 'a' and 'b' on line 'l' and two points 'c' and 'd' of the same length is on line 'm'. If M is a mid point between 'a' and 'b' then
Col A: MC
Col B: MD
Ans: D

11. Col A : (1/9 + 1/10 + 1/11 + 1/12 + 1/13 + 1/14 + 1/15)
Col B : 7/12
Ans : Col A

12. If f(x)= 3(x)^2 - 4x + 25
Col a: what is the least number to satisfy the condiation
Col b: 0
Ans: A

13. John's salary for a particular month is given by the equation: 1520 + 0.15x where x is the amount obtained from the sales made by John. In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to June 2000?
Ans : $2000

14.A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

15.A telephone call charges at the rate x for first 1 minute, and y for the remaining time of the call. If the total charge for the call was $2.49, what was the call duration in terms of x and y.
Ans : ($2.49 – x)/y + 1

16. In a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then what is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80
Ans: E

17. If x = -1 then (1/x)+(1/x^2)+(1/x^3)+(1/x^4)=?
Ans: 0

18. Given f(n+3)=f(n) and
f(-1)=6
f(0)= 5
f(1) = 4
then the value of f(8) is
Ans: 6

19. Area of a square is 9 and that of a rectangle is 8.
Col A: perimeter of square
Col B: perimeter of rectangle
Ans: D

20. A company sold a product for x dollars in 1990. The price of product would increase by 2.5% every year. Which of the following expressions could be used to calculate the price of the product in the year 2000?
Ans : x*(1.025)^10

21.(1/2 + 1/3)+ (1/4 -1/3) + (1/2-1/4) = 1
22. 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1 points A,B,C,D are:-
A. -20, -8, -10, 16
B. -20, -16, 11, 16
C. -20, -16, -11, 16
D. -20, -16, -11, 7
E. -20, -10, -11, 7
Ans: C

23. A circle was given with radius 6,it contained a shaded area. The degree measure of the unshaded area was 260. Find the area of shaded region.
Ans:10pie

24.Compare:
Col A: {[Sqrt(6) + Sqrt(7)] [Sqrt(6) - Sqrt(7)]} / Sqrt(6)
Col B: {[Sqrt(7) + Sqrt(6)] [Sqrt(7) - Sqrt(6)]} / Sqrt(7)
Ans:B

25. Tom brought 'n' shares for 't' dollars( n> 20).Then he sold 'n-20' shares at 't+1' per share and sold the remaining shares at 't+3' per share.
Col A: total value of shares sold - total value of shares he bought
Col B: t+40
Ans: D


ORKUT QUANT DATABASE (Till Nov 28th)


1. A line 'l' passes through (3,-2) and cuts the coordinate axis. line 'm ' is perpendicular to line 'l' .
Column A : Slope of line m
Column B : 3/2
Ans:C

2. The distance travelled by a train is 'd' and the time taken is h hrs. Next day the train travels the same distance but reaches 15 min early. What is the average speed in terms of 'd' and 'h'?

3. 7 is the digit on tens place for X and 8 is the digit for tens place for Y. What is the Tens digit for (X+Y)
Ans: 5

4. 0<1
col A : 1/x
col B : 1/x^2

5. If n * sqrt(0.01) = 1 then What is the value of n?
Ans: 10

6. (0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers
Ans: 3.75

7. If a line passes through (-3,2) and cuts coordinate axis.
Col A: x-intercept of line
Col B: y-intercept of line
Ans: B

8. Given f(x)=x^2+x
Col a: f(x+1)
Col b: f(x) + f(1)
Ans: D

9. If a square is inside the circle with its side 's' then What is the area of the circle?
Ans: pi * s^2/2

10. Tom brought 'n' shares for 't' dollars( n> 20).Then he sold 'n-20' shares at 't+1' per share and sold the remaining shares at 't+3' per share.
Col A: total value of shares sold - total value of shares he bought
Col B: t+40



ORKUT QUANT DATABASE (Till Nov 27th)


1. Three points in the coordinate system were given (4,5), (-2,-1) n (1,k) and all lie on the same line…
Col A: k
Col B: 2
Ans: C

2. A company sold a product for x dollars in 1990. The price of the product would increase by 2.5% every year. Which of the following expressions could be used to calculate the price of the product in the year 2000?
A. x * (25)^10
B. x * (0.25)^10
C. x * (1.25) ^ 10
D. x * (1.025)^10
E. x * (0.125) ^ 10
Ans: D

3.There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is 0.06m, what is the volume of the concrete used in constructing the tank? On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?
A. 4
B. 24
C. 64
D. 81
E. 128
Ans: D

4. 3,1,4,2,3,1,4,2...... is a series in which 3,1,4,2 are repeated for every 4 terms then what is the product of the 67th,68th term?
A. 2
B. 4
C. 6
D. 8
E. 3
Ans: C

5. n and k are positive numbers
col a: (3^n/ 5^k)^2
colb: (n/k)^2
Ans: D

6. A+B=1 and M+T=2
A and M are positive and B and T are negative
Cola :A^2 + B^2
Col b: M^2 + N^2
Ans: D

7.The number of numbers that can be formed by the digits 1,2,3,4,3,2,1. the odd digits are at odd places is given by
A) 430
B) 215
C) 93
D) 36
E) 18
Ans: E

8. The number of numbers that can be formed by the digits 1,2,3,4,3,2,1. the odd digits are at odd places is given by
A) 430
B) 215
C) 93
D) 36
E) 18
Ans: E

9. Given a semicircle with radius 2 and its area is 2pie. Find the perimeter of the semicircle.
Ans: 4+2pie

10. Two lines 3x-5y=10 and 2x-10y=-3 were given and the point of intersection of these lines lies in which quadrant?
Ans: IVth quadrant

11. Given x ,10-x, 2x+3 are three numbers. If mean of these 3 numbers is 24. Find median.

12. If mode of a group of numbers is 78 then what is the range of the numbers.
Ans: D
13. If x is not equal to 0.
Col a : (x+y)^2
Col b : x^2 +y^2
Ans: D

14. Given a cylinder having volume V. There is one more cylinder that had radius and height both twice of that of the given cylinder, so what is the volume of 2nd cylinder in terms of V?
Ans : 8V

15. (x^2+y^2)/2=xy then,
col A: x
col B: y
Ans: D

16. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other month in the year.
Col A: Number of Birthdays in July
Col B: 3
Ans: A

17. {(0.401)*(0.211)*(0.197)} / {(0.some number)*(0.155)*(0.343)} = this type of question was given .

18. In a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then what is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80
Ans: E

19. x is an integer such that x > 3
Col a: number of even factors of 2x
Col b: number of odd factors of 3x
Ans: D

20. A set contains following no.'s a1,a2,a3.........a100
An= ((n+1)/n)+1) for n odd integer
An= -An-1 for n even integer
Find it's range...

21. lj+2l<3 and (k-1)^2=16
coll a:jk
col b:15
Ans: B

22. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

23. Three cuboids R, S and T were given…
Sides of R x, y, z
Sides of S x+10, y, z
Sides of T x, y, z+10
Col A: volume of s minus volume of R
Col B: volume of T minus volume of R
Ans: D

24. John's salary for a particular month is given by the equation: 1520 + 0.15x where x is the amount obtained from the sales made by John. In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to June 2000?
Ans : $2000

25. A company has 54 employees. There are more birthdays on Wednesdays then on any other day of the week.
Col A: minimum no. of birthdays on Wednesdays
Col B: 8
Ans: A


ORKUT QUANT DATABASE (Till Nov 26th)


1. In xy coordinate a square is drawn by connecting y, x, -y and -x coordinate. The area of the square is 36.
Col A:Distance between the center of the coordinate and the point in –y coordinate
Col B: 2.4

2. x is multiple of 3 and 3x has unit digit 7.
Col A: x
Col B: 69

Ans: D

3. In a company there are 54 members. If wednesday has more numbers of birthdays then what is the least number of birthdays on
wednesday?
A. 6
B. 7
C. 8
D. 9
E. 10
Ans: D

4. x and y are positive integers.
Col A: remainder when xy+x(y+2) is devided by 2.
Col B: 0
Ans: C

5. |J+2|<3 and (k-1)^2=16
Col A: jk
Col B: 15
Ans: B

6. If x-x/2-x/4-x/8 = 16 find x?
Ans: 128

7. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

8. A label of vertical width w is stick on a cylinderical vessel with area A(some number) and height 10 cm.
Cola: w
Colb: 4.5
Ans: D

9. A circle was given with radius 6, it contained a shaded area. The degree measure of the unshaded area was 260. Find the area of
shaded region.
Ans:10pie

10. There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is
0.06m, what is the volume of the concrete used in constructing the tank?
Ans: 1.68pi cu.m

11. 3^(4n+1) divided by 10
Col A: Remainder
Col B: 0

12. x1, x2, x3, x4 & x5 are the events Rate of occurance of them are r1, r2, r3, r4 & r5
E = x1r1+x2r2+x3r3+x4r4+x5r5/(x1+x2+x3+x4+x5)
x1=r1=1
x2=r2=2
x3=r3=3
x4=r4=4
x5=r5=5. Find E?
Ans: 11/3

13. Given ax^2+bx+c=0, (2x+3)(2x-3)=0
Col a:a+b+c
Col b: -5
Ans: C

14. Given average(arithmetic mean) of t,u,v is x.
Col a:arithmetic mean of t,u,v and x
Col b:x
Ans: C

15. Col a: (-2)^-5
Col b: 1
Ans: B


ORKUT QUANT DATABASE (Till Nov 23rd)


1. If 0.8 is the probability that a person gets infected with the disease amongst a group, in which a person in a group is infected.
Col A : the probablity that a person getting infected if none of the others among the group is infected.
Col B : 0.4
Ans: D

2. Given Users of mixers are 14% and Users of AC's are 27%. Find the Range of users excluding the users of mixers and ACs.
A) 41% to 59%
B) 59% to 73%
C)21% to 41%
Ans: B

3. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

4. Bryan and Kathleen live 150 miles apart. They each drive toward the other's house along a straight road connecting the two,
Bryan at a constant rate of 30 miles per hour and Kathleen at a constant rate of 50 miles per hour. If Bryan and Kathleen leave their
houses at the same time, how many miles are they from Bryan's house when they meet?
A) 40
B) 51.5
C) 56.25
D) 75
E) 93.75
Ans: C

5.The area of rectangular region R is equal to the area of rectangular region T.
The Ratio of the length to the width of R is 3 to 1.
the length & width of T are 12 & W, respectively.
Col A : w
Col B : 4
Ans: D

6. (0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers
Ans: 3.75

7.Two semicircles with thier diameters coincident...outer semicircle has diameter 12 feet and inner semicircle has diameter 8 feet.The outer minus inner was painted with green paint at some cost per sq feet and the inner was painted with red at the same cost per sq feet.
Col A: cost of green paint
Col B: cost of red paint
Ans: A

8. A label of vertical width w is stick on a cylinderical vessel with area A(some number) and height 10 cm.
Cola: w
Colb: 4.5
Ans: D


ORKUT QUANT DATABASE (Till Nov 22nd)


1. If d is the standard deviation of x,y and z then what is the standard of x+6,y+6 and z+6?
A.d+6
B. 6d
C.12d
D.18d
E.None
Ans: E

2. Out of 45, 25 are married and 38 are houseowners.
col A: least no.of houseowners who are married
col b: 18
Ans: C

3. A two digit number is a multiple of 3 and thrice this number has 7 in its units place.
col a: the number is
col B: 69
Ans: D

4. (0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers
Ans: 3.75

5. If n is an integer when divided by 17 leaves a reminder 4, what is the reminder when 5n is divided by 17
Ans : 3

6. In a set of 5 numbers, if 7 is the median, 4 is the mode & mean of the largest & second largest number is 20. Find average of 5
numbers.
Ans: 11

7. Where will the point of intersection of the lines 3x + 5y = 7 and 2x - 10y = - 3 lie?
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans: E

8.On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with
a single color. In how many ways can the houses be painted?
A. 4
B. 24
C. 64
D. 81
E. 128
Ans: D

9. A B
+ B A
------------
C B C
------------
Col A: B
Col B: 2

Ans: C

10.There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount
and 20% sales tax after the discount was added. If john paid total $300, what was the original amount of purchase if no sales tax
was added per $75
Ans : 240.

11. Consider circle with centre O. AB is a chord of the circle. AOB is a right triangle C is a point on the circumference of circle such
that angle BOC = 60 degrees Compare.
Col A : area of triangle AOB
Col B : area of sector BOC.
Ans : B

12. A company sold a product for x dollars in 1990. The price of product would increase by 2.5% every year. Which of the following
expressions could be used to calculate the price of the product in the year 2000?
Ans : x*(1.025)^10

13. Given ABCD is a square with perimeter k and M, N, O, P are the midpoints of the square. If with this midpoints another
square MNOP is formed then
Col A: perimeter of inner square is
Col B: 1/2 k
Ans: A

14. If x is an integer and (x-5)/2 is an integer. Then which of the following is an integer?
A. (x+2)^2/9
B. (x+2)^2/4 .......

Ans: A
15. Col A: The number of real roots of 2x-3/7=0
Col B: The number of real roots of x^2+3=0
Ans: A


ORKUT QUANT DATABASE (Till Nov 21st)

1. x-y =5 & xy != 0
Col a: 1/x-1/y
Col b: 5

2. Given f(n+3)=f(n) and
f(-1)=6
f(0)= 5
f(1) = 4
then the value of f(8) is
Ans: 6

3. Given 0<1
Col A: X^50+X^51+x^52
ColB : 3(x^52)

4. A circle is inscribed in a square of side 2m.
ColA: area of circle
ColB: pie
Ans: C

5. x^2+2x-8=0
Col A:The sum of the roots
Col B: -2
Ans: C

6. An regular pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: Side of triangle
Ans: A

7. A telephone company has no.'s between 3000-3799. A Company called X uses the numbers from 3300-3499. Out of these
managers of Division1 level use numbers ending with 0 or 1. What percent of the telephone company numbers are used by
Managers of Division1 level of Comany X?
Ans: 5%

8. x^2=1/5(x^2+(8/x^2)) find the value of x?
Col A: x
Col B: 2

9. A triangle ABC is given. A point D divides the side AB such that a trainge ADC is formed and AD/DB=1/3. If the area of the triangle ABC is r. Find the area of the triangle ADC in terms of r?
Ans: r/4

10. If x = -1 then (1/x)+(1/x^2)+(1/x^3)+(1/x^4)=?
Ans: 0

11. If x is a positive number which leaves a remainder 2 when divided by 8 and when divided by 5 it leaves a remainder 3. Find the least possible number?
col A: x
col B: 18
Ans: C

12. In a room there are more than 12 members which are divided into a 5 member group and a 8member group and a 12 member
group. Find the least possible members in that room such that finally none were left?
Col A the members in the room
Col B: 120
Ans: C

13. |x-2|>4 then which of the following is true with the above realation
A) -26
B) -4<4
C) -2<4
D) -6<6
Ans: A

14. A rectangular aquarium base has dimensions 10*8 and height 10. Aquarium is filled upto the height of 6, a solid bar is immersed
into it... there by increasing the water level to 7.
Col a: the bar dimensions
Col b: 100 cubics
Ans:B

15. Col A: 50 square + 51 Square + 52 square
Col B: 3(square of 52)
Ans: B

16. Mode of certain list is given as 45
Col A: find the mean
Col B: 45
Ans: D


ORKUT QUANT DATABASE (Till Nov 20th)

1)Twice the sum of 3 integers x ,y and z when divided by 7 gives remainder 1
what is the remainder when x+y+z is divided by 7?
Ans: 4

2) (1/2 + 1/3)+ (1/4 -1/3) + (1/2-1/4) = 1

3) 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1
points A,B,C,D are:-
A. -20, -8, -10, 16
B. -20, -16, 11, 16
C. -20, -16, -11, 16
D. -20, -16, -11, 7
E. -20, -10, -11, 7
Ans: C

4) If probability of event M occuring is <1/4
Col a: prob of event M not occuring
Col b: 3/4

5) A semicircle was given with area 2pie find the perimeter of the semicircle
Ans: 2pie+4

6) x when divided by 7 leaves remainder 4.What is the remainder when 2x + 5 is divided by 7?
Ans: 6

7) The probability of raining tomorrow night is 0.46
Col a Col b
Probability of raining tomorrow night
and at high heat temp of 85degress is 0.54
Ans: B

8) |x|<= 6, |y|<=4.
Col a Col b
The maximum value of |y/x| 1
Ans: D

9) The volume and height of a cylinder is given as 54pi and 6. Find the circumference of the base of cylinder?
Ans: 6*pie

10) Given circle is x^2 + y^2 = 49 points on circle are A(3,a) and B(0,b) and given 'a' is positive and 'b' is negative.
Col A : length of segment AB
Col B : 12
Ans: A

11) Given a figure of triangle with sides t, t, n. If the average of two angles of the triangle is 65 then what is the value of n?
Ans: 80

12) 0<1
Col a Col b
x y^2
Ans: D

13) xy+x(y+2) when divided by 2 leaves a remainder
Cola Colb
Remainder 0
Ans: D


ORKUT QUANT DATABASE (Till Nov 19th)

1. From the set of 6 letters A, B, C, D, E, F, there are 20 diff. 3-letters subsets that could be selected.
Col A : The no. of 3-letter subsets that include the letter F.
Col B : 10
Ans: C

2. John's salary for a particular month is given by the equation:1520 + 0.15x where x is the amount obtained from the sales made by
John.In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to June
2000?
Ans: $2000

3. There were two right angled triangles abc(
bc=ef and ab=2de
Col a:ac
Col b:2df
Ans: B

4. Twice the sum of two integers x and y , when divided by 7 gives remainder. What is the remainder when x+y is divided by 7?
Ans: 4

5. Given n and k are positive numbers.
Col a: (3^n/ 5^k)^2
Colb: (n/k)^2
Ans: D

6. A year has 365 days
Col a: the mean no. of days
Col b: the median no. of days

7. A telephone call charges at the rate x for first 1 minute, and y for the remaining time of the call. If the total charge for the call was
$2.49, what was the call duration in terms of x and y.
Ans : ($2.49 – x)/y + 1

8. 0<|x|, where x is a negative integer it was told to find out the negative no
a. (x+y)^2
b. (x-y)^2
c. y^2-x^2
d. x^2-y^2

9. 0<|x|. where x is a negative integer. Find out the negative number?
a. (x+y)^2
b. (x-y)^2
c. y^2-x^2
d. x^2-y^2

10. A Square is inscribed in a circle if the side of the square is s, wat is the area of the circle in terms of s?
Ans: pi * s^2 /2

11. Three quarts of a bleaching chemical, minmum, contains 5% hydrogen peroxide and water. A different type of bleaching
chemical, maxim, which contains 20% hydrogen peroxide, will be mixed with the three quarts of minum. How much of type maxim
should be added to the 3 quarts of minum so that the resulting mixture contains 15% hydrogen peroxide?
A. 3 quarts
B. 3.75 quarts
C. 4.5 quarts
D. 6 quarts
E. 9 quarts

12. Three solid cubes of lead, each with edges 10 centimeters long, are melted together in a level, rectangular-shaped pan. The base
of the pan has inside dimensions of 20 centimeters by 30 centimeters, and the pan is 15 centimeters deep. If the volume of the
solid lead is approximately the same as the volume of the molted lead, approximately how many centimeters deep is the melted
lead in the pan?
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
Ans: C
13. One integer will be randomly selected from the integers 11 to 60, inclusive. What is the probability that the selected integer will
be a perfect square or a perfect cube?
(A) 0.1
(B) 0.125
(C) 0.16
(D) 0.5
(E) 0.9
Ans: A
14. Number of positive integer whose square is between 100 and 201…?
a) 1
b) 2
c) 3
d) 4
e) 5
Ans : D

ORKUT QUANT DATABASE (Till Nov 16th)

1. Col A : Least +ve integer with 3 different prime factors, each greater than 6
Col B : 1001
Ans: C

2. Twice the sum of 3 integers x ,y and z when divided by 7 gives remainder =1
wt is the remainder when x+y+z is divided by 7.?
A. 0
B. 1
C. 2
D. 3
E. 4
Ans : E

3.The area of rectangular region R is equal to the area of rectangular region T.
The Ratio of the length to the width of R is 3 to 1.
the length & width of T are 12 & W, respectively.
Col A : w
Col B : 4
Ans: D

4. Area of a square is 9 and that of a rectangle is 8.
ColA ColB
perimeter of square perimeter of rectangle
Ans: D

5. Where will the point of intersection of the lines 3x - 5y = 7 and 2x + 10y = - 3 lie?
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans : E

6. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other month
in the year.
Col A: Number of Birthdays in July
Col B: 3
Ans: A

7. (1/2 + 1/3)+ (1/4 -1/3) + (1/2-1/4)
Ans : 1

8. X^2-x-2 = 0. Number of possible value of X..?
Ans: 2

9. F(x) = x^2 + x
Col A : F(x+1)
Col B : F(x) + F(1)
Ans : D

10. Two Isosceles triangle was drawn, equal sides are 1, 1 in both triangle. Angle between equal side in one triangle is X, and in
second is Y. and given X > Y.
Col A: area of triangle with angle X
Col B: area of triangle with angle Y
Ans: D

11. Consider circle with centre O. AB is a chord of the circle. AOB is a right angle. C is a point on the circumference of the circle
such that angle BOC = 60 degrees. Compare:
Col A: Area of Triangle AOB
Col B: Area of sector BOC
Ans: B

ORKUT QUANT DATABASE (Till Nov 15th)

1.The question is
A B
+ B A
------------
C B C
------------
Col A: B
Col B: 2
Ans: C

2. A square was given and another square was formed by joining mid points of the square. Perimeter of larger square was given k.
Col a: perimeter of smaller square
Col b: k/2
Ans: A

3. A line was given in a diagram intersecting y axis at (0,u) and x axis at (3u,0)
Col a: u value
Col b: slope of line
Ans: A

4. 2x, 2x+3, 10-x were three numbers, their mean was 8 and we have to find the median?
Ans: 2x... i.e 7.3

5. A right angled triangle was given side opposite to 90 deg was x+6 and side opposite to 30 deg was 2x-3, find the value of x?
Ans: 4

6. Given 0<1
Col a: x50 + x51 +x52
Col b: 3(x)52
Ans: B

7.Given -2<-1
Col a: x-3
Col b: x-2
Ans: B

8. An regular pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: Side of triangle
Ans: A

9. Machine A can produce a doll in 1+2/3 mins. Machine B can produce 3 dolls in 15 mins Whats time required to produce 30 dolls if
the two work together
Ans: 37.5mins

10. On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with
a single color. In how many ways can the houses be painted?
A. 4
B. 24
C. 64
D. 81
E. 128
Ans:D

11. A circle was given with radius 6,it contained a shaded area. The degree measure of the unshaded area was 260. Find the area of
shaded region.
Ans:10pie

12. Cost of telephone call for first minute is x cents and for additional time is y cents. If total bill was 493 cents, What is the time of
call?
Ans: (493 - x / y ) + 1

13. How many three digit numbers are there such that the 100's digit is twice 10's digit and 10's digit is twice units digit.
Ans:2

14. A Line P passes through point 3 on y axis and 5 on X axis
Col A = slope
Col B = 3/5
Ans: B

15. In a box the ratio of red: blue balls =1:2, green :red balls =7:3. What is the fraction of blue balls in the box.
Ans: 6/16

16. A circle has two tangets at points A and B. They meet at point C outside circle...angle ACB is 50
col A : angle AOB
col B : 110
Ans: A

17. Each number after 1st is 6 less than previous no. 7th no is 42. 3rd no?
Ans: 18

18. Col A: Mean of no. of days in each month in 1971
Col B: Median of no. of days in each month in 1971
Ans: B

19. f(x)= 2x+5, the y intercept of the line having equation y=f(x+3)
Ans: 11

20. f(n+3)=f(n)
f(-1)=6
f(0)= 5
f(1) = 4
then the value of f(8)
Ans: 6


ORKUT QUANT DATABASE (Till Nov 14th)

1. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A

2. For a set of 5 integers. Median=32, two numbers are 35. Rest numbers are distinct. If their mean is 30, find the least possible value
of other unknown integers.
Ans: 16

3. A rectangular cuboid 12*6*4 cm is available. Such cuboids are used to costruct cubes by stacking. What is the volume of the
smallest cube that can be made.

4. m was a multiple of some numbers....
Col A : number of positive integers that are factors of (m/21)
Col B : number of positive integers that are factors of (m/15)

5.Col A: Mean of no of days in each month in 1971
Col B: Median of no of days in each month in 1971
Ans: B

6.Cost of trip is x dollars.All participants give c dollars. Now no. of participants fall by 20% but total cost of trip remains x dollars. So
how much will each have to pay in terms of c.
Ans: 1.25c

7. The number of even multiples of 7 from 1 to 100
Ans: 7

8. Given circle is x^2 + y^2 = 49 points on circle are A(3,a) and B(0,b) and
given 'a' is positive and 'b' is negative
Col A : length of segment AB
Col B : 12
Ans: A

9. Least value of f(x)=4x^2 +20x+25.
Ans = -2.5

10. In a right angled triangle,perpendicual and hypotenuse were given as 2x-3 & x+6
base angle was given 30 , find x…?
Ans : 4

11. 2< r < 6 ; 3< t < 8
col A : r/t
col B : 3/4
Ans: D

12. N divided by 7, leaves remainder of 4. N^2 +5 divided by 7, remainder is?
Ans=0

13. Given f(x) = 5*x – 6. Find y-intercept of f(x+2).
Ans : 4

14. If x is from 1 to 100, for which function y is the standard deviation maximum
a. y = x/2
b. y = x- 10
c. y = x
d. y = x+10
e. y = 2*x + 5

15. Col A : no.of seconds in 2 weeks
Col B : no of mins in 90 weeks
Ans: A

16. Given a cylinder having volume V. There is one more cylinder that had radius and height both twice of that of the given cylinder,
so what is the volume of 2nd cylinder in terms of V?
Ans : 8V

17. x is an integer such that x>3
Col A: number of even factors of 2x
Col B: number of odd fctors of 3x
Ans: D

18. There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is
0.06m, what is the volume of the concrete used in constructing the tank?
Ans: 1.68pi cu.m

19. 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1
points A,B,C,D are:-
A. -20 -8 -10 16
B. -20 -16 -11 16
C. -20 -16 -11 16
D. -20 -16 -11 7
E. -20 -10 -11 7
Ans: B

20. A square was inscribed inside a circle. If side of square is S, whats the area of Circle in terms of S
Ans: pi * s^2/2

21. x1, x2, x3, x4 & x5 are the events Rate of occurance of them are r1, r2, r3, r4 & r5
E = x1r1+x2r2+x3r3+x4r4+x5r5/(x1+x2+x3+x4+x5)
x1=r1=1
x2=r2=2
x3=r3=3
x4=r4=4
x5=r5=5. Find E?
Ans: 11/3
ORKUT QUANT DATABASE (Till Nov 13th)

1. 2^(2222). What is the units digit?
Ans: 4

2. A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost
per person is greater by $12. What is the cost per person if 40 people charter the aircraft?
Ans:108

3. Sum of 4 consecutive integers is 342. Then the sum of two larger integer.(similar question)
Sol: 173

4.The toll for certain bridge is $0.15 or 1 token. The tokens are sold in pack of 40 for $4.00 Then what percent saved on the 40 trips if
the token is used instead of $0.15.
Ans:33.33%

5. Col A: Least +ve integer with four different prime factors, each greater than 2
col B: 1155 Ans:

6. Which CANNOT be the factor of (2^n)*(3^k), n and k are both +ve??
a)6
b)8
c)24
d)42
e)54
Ans: D

7.There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is 0.06m,
what is the volume of the concrete used in constructing the tank?
Ans: 1.68pi cu.m.

8. John's salary for a particular month is given by the equation: 1520 + 0.15x where x is the amount obtained from the sales made
by John. In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to
June 2000?
Ans : $2000

9. Probablity that a number is non prime out of 1 to 15?
Ans: 3/5

10. Which is greater?
Col A Col B
100210*90021 100021*90210
ORKUT QUANT DATABASE (Till Nov 12th)

1. A circle with center O has two tangents at points B and C which intersect each other at point A. Angle BAC is given as 55 degrees
Find the value of angle BOC.
Col A Col B
BOC 110 degrees
Ans: A


2.A maths teacher took two tests in her class. 25% of class passed both exams, 42% passed second. What is probability that
students who passed 1st exam also passed 2nd exam?
Ans: 1/4


3. In 1966 the operative mortality rate at certain hospital was 8.1 per 100 cases.By 1974 the operative mortality rate has declined to
4.8 per 100 cases. If the rate decline by 20% from 1973 to 1974 then what is percentage in decline from 1966 to 1973?


4. 400 students took certain examination. 60% of boys & 80% of girls had cleared the cut off in the examination. If total percentage
of the student qualifying is 65%,how many girls appeared in the exam?
Ans: 100


5. A set contains following no.'s a1,a2,a3.........a100
An= ((n+1)/n)+1) for n odd integer
An= -An-1 for n even integer
Find it's range...


6. A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the
cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?


7.There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount
and 20% sales tax after the discount was added. If john paid total $300 what was the original amount of purchase if no sales tax
was added per $75.( This might be an comparision question....)


8. Given Principal amount P,rate of interest was r ,and the amount increase from 1990 to 1995 and 1995 to 2000 each time by r%. so
the total amount was (7/5)p at the end of 2 yrs .
Col A : r
Cola B: 20


9. x-y =5, xy!=0
col A : 1/x-1/y
Col B : 1/5
Ans: D


10. If one number is chosen at random from the first 1000 positive integers, what is the probability that the number chosen is a
multiple of both 2 and 8?

11. The number of numbers that can be formed by the digits 1,2,3,4,3,2,1. the odd digits are at odd places is given by
A) 430
B) 215
C) 93
D) 36
E) 18
Ans: E
ORKUT QUANT DATABASE (Till Nov 8th)

PS: If you find any mistakes please report here.

1. 2^(2n+1)- 2^2n = 2^1000 find n
A)500
B)1000
C)2000
Ans: A

2. -2<-1
Col a: 1/x3
Col b: 1/x
Ans:A

3. A+B=1 and M+T=2
A and M are positive and B and T are negative
Cola :A^2 + B^2
Col b: M^2 +N^2
Ans: D

4. n and k are positive no.'s
col a: (3^n/ 5^k)^2
colb: (n/k)^2
Ans: D

5. Twice the sum of two integers x and y , when divided by 7 gives remainder =1. What is the remainder when x+y is divided by 7.
Ans: 4

6. A telephone company has no.'s between 3000-3799. A Company called X uses the numbers from 3300-3499. Out of these
managers of Division1 level use numbers ending with 0 or 1. What percent of the telephone company numbers are used by
Managers of Division1 level of Comany X?
Ans: 5%

7. There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount
and 20% sales tax after the discount was added. If john paid total $300 what was the original amount of purchase if no sales tax
was added.

8. x^2 +2x -8=0
sum of 2 roots is n.
Col a: n
Col b:-2
Ans:C


9. How many three digit numbers are there such that the 100's digit is twice 10's digit and 10's digit is twice units digit.
Ans:2

10. A line 'l' passes through (3,-2) and cuts the coordinate axis.
Column A : x intercept of line l
Column B : y intercept of line l
Ans: D

11. F(x)=x^2+1
Cola: f(x+1)
Colb: f(x) +f(1)
Ans:D


12. A semicircle was given with area =2pie
find the perimeter of the semicircle
Ans: 2pie+4

13. A company sold a product for x dollars in 1990. The price of the product would increase by 2.5% every year. Which of the
following expressions could be used to calculate the price of the product in the year 2000?
A. x * (25)^10
B. x * (0.25)^10
C. x * (1.25) ^ 10
D. x * (1.025)^10
E. x * (0.125) ^ 10
Ans: D


14.Compare:
Col A: {[Sqrt(6) + Sqrt(7)] [Sqrt(6) - Sqrt(7)]} / Sqrt(6)
Col B: {[Sqrt(7) + Sqrt(6)] [Sqrt(7) - Sqrt(6)]} / Sqrt(7)
Ans:B


15.(1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?
Ans: 1


16. A line intersects the Y-axis at (0,a) and X-axis at (a,0). If the line passes through the point (-3,-3), find the value of a.
Ans: -6

ORKUT QUANT DATABASE (Till Nov 7th)

1. Biologists working to estimate the population of foxes in small town captured and tagged 30 foxes on one night. The foxes were then released. The next night they captured 30 foxes and found that 6 of them had already been tagged. The best estimate for the fox population of the town would be
A. 30
B. 36
C. 60
D. 150

2. In a group of people solicited by charity 25% contribute $20, 45% contributed $10 and the rest contributed $5. If the charity received a total of $750 from those who contributed $5, how much did they receive in total from those solicited?
A. $5,500
B. $5,250
C. $4,750
D. $2,500
E. $1,700
Ans: A

3. What is the value of x, if 2^(2x + 1) = 8^(x - 3)
A. -4
B. -1
C. 4
D. 8
E. 10
Ans: E

4. The point of intersection of lines 3x-5y=7 and 2x+10y=-3, lies in
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans:E

5. A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?
A. 12
B. 15
C. 27
D. 48
E. 54
Ans: C

6. x is an integer such that x > 3
Cola: number of even factors of 2x
Colb: number of odd factors of 3x
Ans: D

7. Twice sum of integers when divided by 11 leaves remainder 4
what is the remainder when sum of numbers is divided by 11
Ans: 2

8. x when divided by 7 leaves remainder 4.What is the remainder when 2x + 5 is divided by 7.
A. 2
B. 3
C. 4
D. 5
E. 6
Ans: E

9. 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1
points A,B,C,D are:-
A. -20 -8 -10 16
B. -20 -16 -11 16
C. -20 -16 -11 16
D. -20 -16 -11 7
E. -20 -10 -11 7
Ans: B

10. A label of vertical width w is stick on a cylinderical vessel with area A(some number) and height 10 cm.
Cola: w
Colb: 4.5
Ans: D

11. A telephone call charges at the rate x for first 1 minute, and y for the remaing time of the call. If the total charge for the call was $2.49, what was the call duration in terms of x and y.
Ans: ($2.49 - x)/y + 1
ORKUT QUANT DATABASE (Till Nov 6th)

1. What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?

(A) - 5040
(B) - 3600
(C) - 720
(D) - 600
(E) - 120
Ans : B
2. The reflection of a positive interger is obtained by reversing the digits. For example, 321 is the reflection of 123. The difference between a five-digit interger and its reflection must be divisible by which of the following?

(A) 2
(B) 4
(C) 5
(D) 6
(E) 9
Ans: E
3. Probability of an event M, P(M) < 0.25
col A : Probability of M not occurring.
col B : 3/4
Ans: A
4.The polygon has 27 diagonals. The no. of sides of the polygon is
Ans: 9
5. Prodct of 10 integers is odd -ve integer.
Col a: number of odd integers in product.
Col b: no of -ve integers.
Ans: D
6.Given d is distance of a stone thrown from a building d=16t^2 , d was given as 200. What is the range of t?
A) 1 to 2
B) 2 to 3
C) 3 to 4
D) 4 to 5
E) 5 to 6
Ans: C

7. 3,1,4,2,3,1,4,2......... is a series in which 3,1,4,2 are repeated for every 4 terms then wht is the product of the 67th,68th term?
A. 2
B. 4
C. 6
D. 8
E. 3
Ans: D
8. in a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then wht is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80
Ans: E
9. Vertically Opposite angles. One was 75 and other was 2x+1 what's x ?
Ans: 52
10. Machine A can produce a doll in 1+2/3 mins. Machine B can produce 3 dolls in 15 mins Whats time required to produce 30 dolls if the two work together
Ans: 37.5mins
11.Bryan and Kathleen live 150 miles apart. They each drive toward the other's house along a straight road connecting the two,Bryan at a constant rate of 30 miles per hour and Kathleen at a constant rate of 50 miles per hour. If Bryan and Kathleen leave their houses at the same time, how many miles are they from Bryan's house when they meet?

A) 40
B) 51.5
C) 56.25
D) 75
E) 93.75
Ans: C
12.Given a square A of unknown sides, joining the midpoints , there is another square formed inside in it. The area of this inner square is....
Ans: 1/2 of area of square A
13. x^2+2x-8=0
Col A:The sum of the roots
Col B:-2
Ans: C
14. Points were given in the diagram as (0,u) and ( 3u,0)
Col A:Slope
Col B:-1/4
Ans:B
15. |x-2|>4 then which of the following is true with the above realation
A) -26
B) -44
C) -24
D) -66
Ans: A
16. Given numbers...(0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers.
Ans: 3.75
17. An equilateral pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: Side of triangle
Ans: A


ORKUT QUANT DATABASE (Till Nov 5th)

1. On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?

A. 4
B. 24
C. 64
D. 81
E. 128
Ans:D
2. ABCD is a rectangle with AC and BD being its diagonals. Point D lies on the circumference of a circle having radius 7 and centre at B.
Col A: Length of diagonal AC
Col B: Radius of circle
Ans. C
3.There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is 0.06m, what is the volume of the concrete used in constructing the tank?

Ans: 1.68pi cu.m.
4. Given a square A of unknown sides, joining the midpoints , there is another square inside in it.
Col a: area of inner square
Col b: 1/3 of area of A
Ans:A


5.Col a: 0, 5, 10, 25, 30.
Col b: 5, 10, 25, 30.
Which set's mean is greater?
Ans: B
6. Probability that a number is a non prime out of 1 to 15 numbers?
Ans: 3/5
7. f(x)=(2x-3)( 2x+3)=ax^ 2+bx+c
Col a: a+b+c
Col b: -5
Ans: C
8. John's salary for a particular month is given by the equation: 1520 + 0.15x where x is the amount obtained from the sales made by John. In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to June 2000?
Ans : $2000


9. Col A: (0.9/1.1) 2 +(1.1 /0.9)2
Col B: 2
Ans: A
10. (x(x+5)+x(x-5)) / ((x+2)+(x-2))
Ans: x





ORKUT QUANT DATABASE (Till Nov 2nd)

1.A company sold a product for x dollars in 1990. The price of the product would increase by 2.5% every year. Which of the following expressions could be used to calculate the price of the product in the year 2000?
A. x * (25)^10
B. x * (0.25)^10
C. x * (1.25) ^ 10
D. x * (1.025)^10
E. x * (0.125) ^ 10
Ans: D
2.Consider circle with centre O. AB is a chord of the circle. AOB is a right angle. C is a point on the circumference of the circle such that angle BOC = 60 degrees. Compare:
Col A: Area of Triangle AOB
Col B: Area of sector BOC
3.x^2 + y^2 =7
Col a:x+y
Col b:x-y
Ans: D

4. x^2 +2x -8=0
product of 2 roots is n.
Col a: n
Col b:-2
5. A rectangular aquarium base has dimensions 10*8 and height 10. Aquarium is filled upto the height of 6, a solid bar is immersed into it... there by increasing the water level to 7.
Col a:the bar dimensions
Col b:100 cubics
Ans:B
6. There are 5 black marbels and 3 red marbles, probability of getting exactly 1 black marble and 1 red marble
a)5/56
b)5/64
c)15/64
d)15/56
e)0.5

7. Where will the point of intersection of the lines 3x + 5y = 7 and 2x - 10y = - 3 lie?
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans:C
8. Compare:
Col A: {[Sqrt(6) + Sqrt(7)] [Sqrt(6) - Sqrt(7)]} / Sqrt(6)
Col B: {[Sqrt(7) + Sqrt(6)] [Sqrt(7) - Sqrt(6)]} / Sqrt(7)
Ans:B
9. On the number line, the co-ordinate of point P is -5 and the co-ordinate of point R is 10. The point Q is situated in between P and R such that the ratio of distance between P and Q to the distance between R and Q is 2 is to 3. What is the co-ordinate of point Q?
Col A: co-ordinate of point Q
Col B: 0
Ans: A
10. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other month in the year.
Col A: Number of Birthdays in July
Col B: 3
11. (1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?
Ans:1
12. A line 'l' passes through (3,-2) and cuts the coordinate axis. line 'm ' is perpendicular to line 'l' .
Column A : Slope of line m
Column B : 3/2
Ans:C

13.A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe
make?
A) 4
B) 16
C) 24
D) 32
E) 40
14. n is a +ve no... which of the following is an integer
a)((n+1)/2)^3x+2
b)((n-2)/2)^3x+2
c)(n+1/2)^3x+2

ORKUT QUANT DATABASE (Till Nov 1st)


1.There are five persons A,B,C,D,E. What are the possible combinations they are seated provided C and D always sit nearby?
Ans : 48

2.Col A : (1/9 + 1/10 + 1/11 + 1/12 + 1/13 + 1/14 + 1/15)
Col B : 7/12
Ans : Col A
3.A right angled triangle was given which was not to scale....hypotenuse 10...and the other two sides were 6.1 and 8.1 the angle between 6.1 and 8.1 is X degrees.
Col A: X degrees
Col B: 90
Ans: C
4.Two semicircles with thier diameters coincident...outer semicircle has diameter 12 feet and inner semicircle has diameter 8 feet.The outer minus inner was painted with green paint at some cost per sq feet and the inner was
painted with red at the same cost per sq feet.
Col A: cost of green paint
Col B: cost of red paint
Ans: A

5. -2Col a: 1/x3
Col b: 1/x
Ans:A
6. Given numbers...(0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers.
Ans: 3.75
7. An equilateral pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: side of triangle
Ans: A
8. Col A: 50 square + 51 Square + 52 square
Col B: 3(square of 52)
Ans: B


9. 3^-1(5^-1+10^-1)=
Ans:10^-1
10.There is a number 90n; What is the least value of n so that the number is a perfect cube?
A) 120
B) 180
C) 240
D) 280
E) 300
Ans : E
11. a<0Col a : (ac)/b
Colb : ac
12. w>0 , z>0
Col a: w^4 + z^3
Col b: w^2 + z
Ans: D