1. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3

(a). 0
(b) .1
(c).-1
(d). 4

2. If 13 = 13w/(1-w) ,then (2w)2 =

(a).1/4
(b).1/2
(c).1
(d).2

3. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
(a).-5
(b). 4
(c). 2
(d). 8

4. If the value of x lies between 0 & 1 which of the following is the largest?
(a) x
(b) x2
(c) -x
(d) 1/x

5 Which of the following fractions is less than 1/3

(a) 22/62
(b) 15/46
(c) 2/3
(d) 1

6. Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?

(a) 6
(b) 8
(c) 7
(d) data insufficient

7. x% of y is y% of ?

(a) x/y
(b) 2y
(c) x
(d) can’t be determined

8. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?

(a) Rs.500
(b) Rs.1500
(c) Rs.1000
(d) Rs. 900

9. What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

(a) 3
(b) 4
(c) 5
(d) 6

10. In objective test a correct ans score 4 marks and on a wrong ans 2 marks are deducted. A student score 480 marks from 150 question. How many ans were correct?

a) 120
b) 130
c) 110
d) 150

11. If a=2/3b , b=2/3c, and c=2/3d what part of d is b?

(a) 8/27
(b) 4/9
(c) 2/3
(d) 75%
(e) 4/3

12. The petrol tank of an automobile can hold g liters.If a liters was removed when the tank was full, what part of the full tank was removed?

(a)g-a
(b)g/a
(c) a/g
(d) (g-a)/a
(e) (g-a)/g

13. If a and b are positive integers and (a-b)/3.5 = 4/7, then

(a) b < a
(b) b > a
(c) b = a
(d) b >= a

14. A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?

(a) 3 days
(b) 8/9 days
(c) 4 days
(d) can’t say

15. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.

(a).Rs.90
(b).Rs.1.00
(c).Rs.3.00
(d).Rs.8.00