OCTOBER QUANT

ORKUT QUANT DATABASE (Till Oct 15th)



1. If 5 < x-3 < 9, then
Col A: x
Col B: 8

2. If (2^2n+1) + (2^2n) = 1000, then
Col A: n
Col B: 500

3.

(@ all: this is the appropriate question given with seven lines)
A. 2
B. 3
C. 4
D. 5
& so on…

4. Given that a pump, pumps water from a well at the rate of 60gallons/min for duration of 1hour. If the pump rate is increased by 50% for next 2hours, then what is the total water pumped in this 3 hours duration?

5. If y = 2x + 9 & x^2 = 4, then
Col A: x
Col B: y

6. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

7. Given slope of a line as 2.5 and a point on the line as (20, 50).
Col A: y-intercept
Col B: -25

8. Given 2 < a < 5 < b < 8 and if the average of 3, 6, 9, a, b is 6.2, then find the value of a + b?

9.

Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?

10.

Find the distance of QP?

11. Given that there was about 8500 distribution numbers. If the score of 26.7 was 35th percentile and 37.1 was 50th percentile, then how many distribution parameter numbers accounted for about 50 percentile of the distribution?

12. Given 'N' is a positive integer, such that when it is multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
A. N*(6/7)
B. N/(5/2)
& so on...

13. If P = Sum of even integers from 1 to 100 & Q = Sum of odd integers from 1 to 100, then what is the value of P – Q?
A. 0
B. 99
C. 100
D. 101
E. 200

14. If x & y are integers, then
Col A: sqrt(x) + sqrt(y)
Col B: sqrt(x+y)

15. Col A: (n + 30)^2 + (n – 30)^2
Col B: 120n

16. Given a quadrilateral with the four coordinates and asked to find the area of the quadrilateral?

ORKUT QUANT DATABASE (Till Oct 14th)


1. An Electricity poll has been extended from 3000 to 3799. If a marked place is between 3020 to 3039 then what is the probability that selected point is marked place?
A. 0.025
B. 0.01
C. 0.05
D. 0.02
& so on…
2.

Find the value of 4xy?

3. What is the value of (8) (72)^-5?
A. (72)^-5/8
& other four options were given in the similar form

4.

If the smallest distance from ‘p’ to any point on the circle is 5 and the largest distance from ‘p’ to any point on the circle is 11, then find the distance between centre and the point ‘p’?

5. Which of the following options when multiplied by a number ‘n’ gives a result, which is same as to the result when number ‘n’ is multiplied by 3/5 and the resultant is divided by 7/10?
(Question is similar to this)
A. 21/15
& similar four different fractions were given in the options

6.
<
How many of the above lines have negative slope?

7.

Col A: -xy
Col B: x + y

8. If -3 < x < 0, then
Col A: 1/x
Col B: -3

9. Given two line equations and asked to find y-intercept?

10. If 2^2n+1- 2^2n = 2^1000, then the value of n is?

11. If the ratio of a triangle sides is given as 3:5:7, then what is the largest angle?

12. Find the distance between two lines with equations of the lines given x + y = 5 and x + y = 4?

13. Given a series S1, S2, S3, S4..... such that every term from S3, is the addition of the previous two terms. If S5 = 18 & S8 = 76, then what is the value of S9?

14. If 0 < x < y < z, then
Col A: x/y
Col B: y/z

15. Col A: Radius of the circle having area 36pie
Col B: Radius of the circle having area 12pie

ORKUT QUANT DATABASE (Till Oct 13th)


1. If x < 0, then
Col A: 1/x
COl B: -1/x

2. For a cylinder of radius 'r' and height 'h'
Col A: Total surface area
Col B: Curved surface area

3. Given two series of P & F, in which each upcoming term in P series is twice the preceding term and each upcoming term in F series is three times the preceding term. If P1 = 5, F1 = 2, then for which value Pk > Fk.
(Here 1, k are suffixes)

4. Given that A & B can complete a work in 8 hours each and C can do it in 12hours. In how much time will all of them finish the work if they work together?

5. There were 37 employees in a company. If the month july has more number of birthdays than any other month then what is the number of birthdays in july?(provided every month should have atleast 3 birthdays)
Col A: Number of birthdays in july
Col B:3

6. Given three points (2,4),(5,3) & (k,1). If these three points are collinear, then find value of k?
(Question is similar to this)

7. If 'X' machines work for 'Y' hours to produce 'Z' products, then how many hours will 'A' machines take to produce 'B' products provided if the rate of two machines are same?(Values of X, Y, Z, A & B were given)?

8. Let S1, S2, S3,... ,Sn be a series such that, Sn+1 = (1/2)Sn, then
Col A: S6 (2^14)
Col B: S20
(Here 1, 2, 3, 6, 20, n & n+1are suffixes)

9. If -2 < x < -1, then
Col A: x
Col B: 0

10. If |k+2| = |k-2| then,
Col A: k
Col B: 0

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

12. Given 'N' is a positive integer, such that when its multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
a) N*(6/7)
b) N/(5/2)
& so on...

13. Given a straight line equation in X,Y terms
Col A: The slope of the line if the intercepts of X,Y are equal
Col B: 0

14. If x =! -1, then
ColA: 1/(2x + 2)
ColB: 1/(x + 1)

15. Given there are 800 doctors who says 'yes' to the drugs P, Q, R that they work effectively.
P drug....some 38%
Q drug....some 52%
R drug.....some 71%
now, how many doctors say "yes" to Q drug and "don't say yes" to the drug R?
A. 312
B. 910
& so on....

16. Given two straight lines x+y = 1 & 2x+2y = 8, then
Col A: The shortest distance between the two lines
Col B: 3


ORKUT QUANT DATABASE (Till Oct 10th)


1. If N = (36)^(36) & P = (71)^(71), then
Col A: Units place of N+P
Col B: Units place of NxP

2. If the sides of a right angled triangle are k, 2k-1, 2k+1 and 'k' being positive, then the value of hypotenuse is ?
A. 9
B.15
C.17
& so on...

3. The difference of sum of the odd numbers from 1 to 100 and sum even numbers from 1 to 100 ?
A. 0
B. 99
C.101
D. 200

4. Given x-intercept as 2, y-intercept as -1.
Col A: The slope of the line
Col B: 1/2

5. If a^-3 +a^2 + 9 = 0 then
Col A: The value of 'a'
Col B: -1/3

6. If 3:5:7 is the ratio of a triangle angles, then find the largest angle?

7. Given that a set of balls are distributed one at a time, into six baskets.The first ball goes into basket one, the second into basket two, & soon. If this distribution is continued & repeated then 74th ball goes into which basket?
A. 2
B. 3
C. 4
D. 5
E. 6

8. Given 8 < 2x < 14 and 9 < x+4 < 16
Col A: x
Col B: 6

9. Given that the mean deviation 1 have 68% sampling data and mean deviation of 2 have 97.2% sampling data. In a sample of 2000, [some range was given], we need to find percentage of odd data in a particular standard deviation.
(question is similar to this)
ORKUT QUANT DATABASE (Till Oct 8th)


1. Given that there was about 8500 distribution numbers. If the score of 26.7 was 35th percentile and 37.1 was 50th percentile, then how many distribution parameter numbers accounted for about 50 percentile of the distribution?

2. Given a series f1, f2, f3.................. with f5 = 39 & f8 = 70. If the terms from f3 is sum of the preceeding two terms, then what is the valueof f9?

3. There is a rectangular box with length, breadth and height given as 10, 6 & 4. It is given that the box is completely sponged on all sides of 0.5 inch. Calculate the volume of the rectangular box removing the sponge?
A. 219
B. 237
C. 217
D. 187
& so on....

4. If the letters of the word A, F, T, E, R are permuted and arranged in a dictionary form like after, then for some (n > 2) how many other possible ways are there?
A. 119
B. 117
C. 88
& so on....
(Question is similar to this)

5. Given a triangle in the xy-plane with points (k, s), (k+1, s) and its area is given and was asked to find the value of k?

6. Given a parellogram with sides 10 and 5.
Col A: Area of the parallelogram
Col B: 155

7. Given an equation of the line 2x+3y =0 and given a point (2,1) asked to compare slopes.

8. Given a square with side 5 and it is rotated 45degrees anti-clock wise around its centre point. Find the distance between its first center and the new center?

9. If (n*p) = n!/(p!*(n-p)!, then
Col A: (12,7)
Col B: (12,3)

10. Given the population of city A in 1980 as 95% of population of city A in 1970.
Col A : 1.05 * (Population in 1970)
Col B : Populationof city in 1980

11. If n < 0, then
Col A: Mean Deviation of 1, 2,1
Col B: Mean Deviation of 1, 2, n.

12. If A = 2^4*3^2*5^6 &
B = 11^3*13^2*17^4
Col A: Number of non-repeated prime factors for A
Col B: Number of non-repeated prime factors for B


ORKUT QUANT DATABASE (Till Oct 7th)


1. In a group of men and women, 1/3 are men. If 2 women leave the group, then men will be 2/5 of the group. How many members are there in the group?

2. The value of (5sqrt2+sqrt3)(sqrt2-sqrt3) = ?

3. If a < 0 < b < c, then
Col A: ac/b
Col B: ac

4.

Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?

5. Given 2 < a < 5 < b < 8 and if the average of 3, 6, 9, a, b is 6.2, then find the value of a + b?

6. Given that an investment of a company in 1990 has increased by 15% in a span of 5years i.e. by 1995 and the same investment increased by 30% in a span of 10years i.e. by 2000.
Col A: The percentage increase from 1995 to 2000
Col B: 15%

7.

Given a square PQRS with side length 8 as above and ‘Q’, ‘S’ points are centers of the circles. Find the area of the shaded region?

8. If the below lines are plotted
x + y = 5 &
2x + 2y = 8
Col A: The shortest distance between the lines
Col B: 1

9. Given two circles that are concentric having radii 2, 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ‘T’, then find the length of ‘ST’?

10. If a < 0 & b > 0, then
Col A: a^-7 * b^-2
Col B: (a*b)^-14

11. A Data interpretation question is given, with the data about “The Available number of rooms in Top 12 hotels in a city” and the questions asked were….
i. The Ratio of available rooms of 3 large hotels to the total rooms in a city.
ii. The median value of the number of rooms of the 12 hotels.

ORKUT QUANT DATABASE (Till Oct 6th)

1. Given a rectangular block with measurements 12, 6 & 3. Find the volume of smallest cube formed by joining these rectangles?

2. If 'X' will be twice the age of her brother's present age after three years, then
Col A: X's Present age
Col B: X's brother's present age

3. If a < 0 < b < c, then
Col A: ac/b
Col B: ac

4. Col A: (7!)^2
Col B: 13!

5. If -3 < x < 0, then
Col A: 1/x
Col B: -3

6. If 180 is the number of ways in which letters of a word is arranged, then which of the following words can be arranged in the same number of ways?
A. CABBIE
B. DEBBIE
C. CHAD
D. DEXTER
E. MIKEY
(Similar to this)

7. If N = (36)^(36) & P = (71)^(71), then
Col A: Units place of N+P
Col B: Units place of NxP

8.The following represents a data and frequency table.
Data Frequency
5 15
10 20
15 25
20 15
25 20

Col A: The Probability of a data selected at 1/2 random
Col B: 10

9. A tanker contains 35,000 gallons of Oil, which delivers 100Gallons and 200 Gallons in 35 refueling stations. How many stations received 100Gallons and how many received 200Gallons of Oil?

ORKUT QUANT DATABASE (Till Oct 3rd)


1. Col A: (2^8)*(15^5)+(2^8)*(15^5)
Col B: (5^10)*(8^2)

2. A square was given and another square was formed by joining mid points of the square. If perimeter of larger square was given 'X'.
Col A: Perimeter of smaller square
Col B: X/2

3. Col A: (7!)^2
Col B: 13!

4. If f(n,k) = n!/(k!*(n-k)!), then
Col A: f(16,3)
Col B: f(16,14)

5. If product of xyz is odd integer, then which of the following is even
A. x(y+z)
B. xy+z
C. yz+x
& so on....

6. There is a series of odd numbers from 1 to n where n is a odd number. What is the probability that a number selected at random will be an odd number?

7. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.


ORKUT QUANT DATABASE (Till Oct 2nd)


1. Given Set A = 1, 2, 3, 4, 5,...m & Set B = 1, 2, 3, ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

2. If l(3x-2)l < 8 then find the value of x?

3. If a1, a2, a3.........an are such that each term is 2 times the preceeding term & p1, p2, p3.......pn are such tht each term is 3 times the preceeding term. If a1= xxxx(some value) and p1 = xxxx(some value) then find the least number of n such that Pn > An?

4. In a school, there are 720 people. If 300 opted for course x, 350 for y, 200 for z, 100 opted for no course and 150 opted for exactly two courses then what is the number of people who opted for all the three courses?

5. 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?

6. 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

7. (1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?

8. If -2 < x < -1, then
Col A: 1/x3
Col B: 1/x


ORKUT QUANT DATABASE (Till Oct 1st)


1. If a < 0 < b < c, then
Col A: ac/b
Col B: ac

2. If x & y are not equal to zero, then
Col A: sqrt(x) + sqrt(y)
Col B: sqrt(x+y)

3. If (x-2)(x-3)(2x-15)(4x+1) = 0, then find the product of maximum and minimum value of x?

4. Given that, if a person has 5 pair of socks of different colors and if 2 are chosen at random then what is the probability that both of them are of same color?

5. If a clock shows exactly 4 '0' clock right now, then what will it show exactly 1195 hours later?

6. If x=! 0, then
Col A: lxl – 2
Col B: lx-2l

7. If a point (1, 2) lies on the line Mx + Ky = 2, then
Col A: k
Col B: 0

8. If it takes ‘t’ mins to travel ‘X’ miles, then
Col A: The time taken in hours to travel 900miles is
Col B: 15t/x

9. The range of list-1 is 16 and range of list-2 is 10(approx values). If both the lists are combined then what will be the minimum value of their range?

10. If x, y, z are negative integers, then
Col A: x + y + z
Col B: 1/x + y + z

11. Col A: 0.01/1- 0.01
Col B: 0.1/1- 0.1

12. In every month, a hospital is opened only in last week. If 10 people travel through bus to hospital, what is the probability that atleast two people travel on the same day?

13. If x < 0, then
Col A: -x
Col B: lxl

14. There is a swimming pool in the shape of an upright right circular cylinder whose base diameter is 20ft and depth(of cylinder) is 4ft. What is the volume of water, if the water is present at a uniform depth of 3ft 6inches?

15. If t^4 = 16, then
Col A: t
Col B: 2

16. If [z] represents greatest value less than or equal to z and x & y are positive, then
Col A: [x]+[y]
Col B: [x+y]

17. Given that, there is a field with 'r' sections in which there are 's' sub- fields in each section. It is also given that there are 5 employees for working and each one does the work equally. If there is an employee Annie who does the work of her and also 1/3 work of the other colleague, then
Col A: Work done by Annie
Col B: rs/4

18. Which of the following operations below, would not affect the standard deviation of the above numbers
A. When 6 is added to each number
B. When 3 is added to each number.
C. When each number is mutiplied by some number x
D. When each number is divided by some number.
(Question is similar to this)

19. There is a square floor with a smaller square carpet. The side of floor is 10% greater than that of carpet and the difference in the areas were given. What is the side of the carpet?
(Question is similar to this)

20. If the probability of A doing a work is 2/3 and B doing it is 4/7, then what is the probabilty of neither of them do it?

21. If t^4 = 16, then
Col A: t
Col B: 2

22. If x, y, z are real positive numbers.
Col A: Median of x, y, z
Col B: Median of x^2, y^2, z^2.

23. If x, y are two real numbers and x>0 & y<1, then
Col A: mod(x-y)
Col B: 1

24. If 100 < x < 225, then
Col A: sqrt(x)+20
Col B: sqrt(900+x)

25. If (n-2)*(n-3) = 0, then
Col A: -2n+1
Col B: 2n-8

26. The probability of A hitting a target is 2/3. And the probability of B hitting the same target is 4/7. So, what is the probability that neither of them will hit the target?

27. If ak = 1/k-1/(k+1), then find out the summation of a2 to a100?
(Here k, 2 & 100 are suffixes)