Gradutate Record Exam

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?