21st August Gre Quants Question

1. Given Perimeter of a parallelogram ABCD as 360 units
Col A: Length of diagonal AC
Col B: 9*root(2)

2. Which of the following lines has maximum slope?
A. y - x/4 = 5
B. y - x/2 = -1
C. y + x = 10
D. y + 3x/2 = 4
E. y + x/2 = -3

3. If n is divided by 24, the remainder is 21. Which of the following is the divisor of n?
A. 3
B. 4
C. 5
D. 6
E. 7

4. Given that a machine P completes a certain amount of work in 12hrs and machine Q completes the same amount of work individually in x hrs. If both machines work together they complete the same amount of work in 8hrs then what is x?

5. Col A: 0.001^-1 + 0.999^-1
Col B: 0.002^-1 + 0.998^-1

6. If k>0 and if x = k^3 & y = k^2 then
Col A: x^6
Col B: y^9

7. Given S = 7^0 + 7^1 + 7^2 .....7^20. If r is remainder when S is divided by 14, then
Col A: r
Col B: 1

8. If (x-y)^2 = 16 & y = 2 then
Col A: x
Col B: 2

9. Last year, 1/4 of factory workers are architects. one year ago 60 workers newly joined in which 50 are architects and no one left the factory since last year and if now 1/3 of factory workers are architects then find the total number of workers?

10. Given ax+by+c= 0
i. If a,c both are positive, then x intercept is negative
ii. If a, b both are positive, then y intercept is positive
iii. If b,c both negative, then y intercept is positive
which of the above conditions satisfy?
A. Only i
B. Only ii
C. Both i and ii
D. All i, ii, iii
(Question is similar to this)

11. If ax+by+c = 0 & if a,b > 0
Col A: slope
Col B: 0

12. A person A completes a work at a steady rate in 12 mins and another person B completes the work with varying rates. If both work together they finish the job in 8 mins. Find the rate at which B works?
A. 3
B. 6
C.10
D. 21
E. 24

13. There are 35 females in a club having average of their age as 'f' and there are 45 males in a club having average of their age as 'm'. If 'f' is greater than 'm', then
Col A: Average age of all 80 members
col b: (f+m)/2

14. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100

15. Col A: 0.999/0.998
Col B: 1.002/1.001

16. If x, y, z are positive integers and if 3x = 4y = 10z, then what is the least possible value of z?
A. 3
B. 1
C. 9
D. 6
E. Cannot be determined