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?