11. The square root of (0.75)3 /1-0.75 + [0.75 + 90.75)2 +1] is-
a. 1
b. 2
c. 3
d. 4
12. Given that √4096 = 64, the value of √4096 + √40.96 +√0.004096 is-
a. 70.4
b. 70.464
c. 71.104
d. 71.4
13. By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is-
a. 5 : 3
b. 3 : 5
c. 3 : 4
d. 4 : 3
We know S.P. = Rs.3x/4
and C.P. = 3x/4 * 100/125
= Rs.3x/5
We know required ratio = x: 3x/5
= 5:3
14. A and B earn in the ratio 2:1. They spend in the ratio 5:3 and save in the ratio 4:1. If the total monthly savings of both A and B are Rs.5,000, the monthly income of B is-
a. Rs.7,000
b. Rs.14,000
c. Rs.5,000
d. Rs.10,000
We know Monthly income of A = Rs. 2x and
Saving of A =5000 * 4/(4 + 1)
= Rs. 4000
Saving of B = Rs.1000
We know that 2x – 4000/x-1000 = 5/3
=> 6x – 12000 = 5x – 5000
We know x = Rs.7000
15. The ratio of the sum of two numbers and their difference is 5:1. The ratio of the greater number to the smaller number is-
a. 2 : 3
b. 3 : 2
c. 5 : 1
d. 1 : 5
We know that x + y/ x – y = 5/1
=> 5x – 5y = x + y
=> 4x = 6y
=> x/y = 6/4
x : y = 3 : 2
16. A cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at-
a. 7.12 p.m.
b. 7.15 p.m.
c. 7.10 p.m.
d. 7.18 p.m.
We know that x -3/3 + x – 4/4 = x – 5/1
=> 4x – 12 + 3x – 12/12 = x – 5/1
=> 7x – 24 = 12x – 60
=> 5x = 36
We know x = 36/5
= 7 hr. + 12 min.
= 7.12 p.m.
17. If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?
a. 10 days
b. 12 days
c. 6 days
d. 8 days
Let x days are taken when they work together.
We know Time taken by A to complete the work = (x + 4) days
And Time taken by B to complete the work = (x + 16) days
We know that 1/x = 1/x + 4 + 1/x + 16
We know 1/x = x + 16 + x + 4/(x + 4) (x +16)
We know 2×2 + 20x = x2 + 20x +64
We know x2 = 64 (8)2
We know x = 8 days
18. 250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is-
a. 310
b. 300
c. 313
d. 312
=312.5
313
19. 2 men and 5 women can do a work in 12 days. 5 men 2 women can do that work in 9 days. Only 3 women can finish the same work in-
a. 36 days
b. 21 days
c. 30 days
d. 42 days
We know that (2m + 5w) * 12 = (5m + 2w) * 9
=> 24m + 60w = 45m + 18w
=> 21m = 42w
=> 1m = 2w
We know 2m + 5w = 9w
We know required no. of days = 9 * 12/3
= 36
20. While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be –
a. 10%
b. 20%
c. 16 2/3%
d. 16 1/3%
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