Quantative Questions - May 2008

May 28

1. If 0 > x > -1 then which of the following must be the greatest among all the given options
A. x
B. 2x
C. x^3
D. x-1
E. x^3-1

2. If x < y and x^2-xy=0
Col a: x
Col b: 0

3. Col A: 1/97+1/98+1/99+1/100
Col B: 1/25

4. In one bag, half the balls are red, 1/8 green, 24 are neither, so how many balls are there altogether?

5. Col a: (4^-3+4^9)/32^-2
Col b:16(1+2^23)

6. If a man walks at the rate of 3miles per hour then the distance he covered in 18 minutes is given by (1mile = 5208foot)
A. 4000 feet
B. 4250 feet
C. 4500 feet
D. 4750 feet
E. 5000 feet

7. Given a smaller circle inscribed in the larger circle, if.... 'r' is a point on the smaller circle, 's' is a point on the larger circle, 'o' is the center of both the circles, or = x, rs = y, and if the area of the smaller circle is equal to the area of the big circle minus the area of the small circle, then what is value of y in terms of x?

8. 1/500 - 1/1000 =

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

10. mod(2- 1/2) + mod(2- 7/2) = ?

11. A man invested Rs.10,000 at the rate of interest x% and Rs.8000 at the rate of interest y%. If x = (3/4)*y then
col A: Interest for 1 year for 10000 at x%
col B: Interest for 1 year for 8000 at y%

May 26

1. For 'n' any positive integer, if An = n^2
Col A: A1+A2+A3+A4+A5
Col B: 30

2. If a principle amount of Rs.10,000/- were given at the rate of interest x% and Rs.8000/- were given at the rate of y% and if x=3y/4 then
Col A: interest on money given at the rate x percent
Col B: interest on money given at the rate y percent

3. How many maximum non-overlaping divisions can be made in a rectangular by drawing 3 straight line.

4. Given a right angle triangle ABC, the length of hypoteneous AB is 15 and a point D was given on AB and DB is 5 and other point E was given on AC. Angle c and e are both 90 degree. Find the length of AE?

5. A company charges 4$ per order as transportation fees and 0.5$ per book. If an order costs x$ and it is equal to m times the transportation fees. What is the charge per book in terms of x and m?


May 23

1. If a2 = a1 + 4* a1 and a1 = 3 find the 19th term of series?

2. If x = (1000) ^10
Col A: number of zeroes in 'x'
Col B: 30

3. If 621<x<675 and “x” is a multiple of 3, and if “u” is unit digit of “x” and “t” is tens digit of “x” then which of the following should be a multiple of “x”.
A. t+u
B. u-t
C. t^u
D. u^t

4.


Col A: X
Col B: Y

5. There are 26 women in a room in that 13 women are selected out of which 7 are under 40 years.
Col A: Percentage of women under 40
Col B: 40%

May 20


1. If the sum of the first 100 positive integers is 5050 then what is the sum of the first 200 positive integers?
A. 10,100
B. 10,200
C. 15,050
D. 20,050
E. 20,100

2. Col A: sqrt(11)
Col B: 3.5

3. If the product of 6 integers is negative, at most how many of the integers can be negative?

4. If the slope of the line passing through the point (5,5) is 5/6. All of the following points could be on the line except.....
(some points were given in the options).
Question is similar to this.....

5. If 3x + y = 19 and x + 3y = 1 are the equation given. Find the value of 2x + 2y?

6. John wrote a phone number on a note that was later lost. John can remember that the number had 7 digits, the digit "1" appeared in the last three places and "0" did not appear at all. What is the probability that the phone number contains at least two prime digits?
a) 15/16
b) 11/16
c) 11/12
d) 1/2
e) 5/8

7. A group of 4 pumps are filling a tank. Each of the 3 smaller pumps works at 2/3rds the rate of the largest pump. If all 4 pumps work at the same time, they should fill the tank in what fraction of the time.... that it would have taken the largest pump if it operated alone?

8. If p+6, q+6, r+6 has a standard Deviation 'S' then what will be the Standard Deviation for p, q, r?
a.6S+6
b.8S+18
c.6S
d. none

9. If the profit made by a company is given by P and the tax the company has to pay to the government is $6000 + r% of the profit over $250000. If a company has to pay 3% of its profit as tax, what is the profit made by the company?

10. Given a1, a2, a3,......an, is a series such that an= an - a(n-1), for 2>n. If a1=-5, a2= 4, find the sum of first 50 numbers of the series?

11. Given two circles of radius 3 and 5, if a line tangent to the smaller circle passes through the bigger circle at points Q and P. What is the length of PQ?