Previous Year Quant quiz For SSC Tier_2 and SSC CHSL Exam

1. A can do a piece of work in 24 days, B in 52 days and C in 64 days. All being to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last (approx.)?

(a) 25

(b) 20

(c) 18

(d) 30

2. The least positive integer that should be subtracted from 3011×3012 so that the difference is a perfect square is-

(a) 3009

(b) 2010

(c) 3011

(d) 3012

3. While selling, a business man allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit percent will be – 

(a) 10%

(b) 20%

(c) 16 2/3%

(d) 16 1/3%

4. A cistern has 3 pipes A, B and C. A and B can fill it in 3 hours and 4 hours respectively and C can empty it in 1 hour. If the pipes are opened at 3 pm, 4 pm and 5 pm respectively on the same day, the cistern will be empty at?

(a) 7 : 12 pm

(b) 7 : 15 pm

(c) 7 : 10 pm

(d) 7 : 18 pm

5. 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

6. 2 men and 5 women can do a work in 12 days. 5 men and 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

7. 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

8. 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. 5000, the monthly income of B is –

(a) Rs. 7000

(b) Rs. 14000

(c) Rs. 5000

(d) Rs. 10000

9. 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

10. An employer reduces the number of his employees in the ratio 9 : 8 and increase their wages in the ratio 14 : 15. If the original wage was Rs. 18900, find the ratio in which the wage bill is decreased.

(a) 20 : 21

(b) 21 : 20

(c) 20 : 19

(d) 19 : 21

ANSWERS and SOLUTIONS:
1- (a)
Let the work is completed in n days.
then,
6/24+(n-6)/52+n/64 = 1
n = 720/29 = 25 days
2- (c)
Required number
= 3012*3011-(3011)^2
= 3011(3012-3011)
= 3011
3- (c)
Let CP = x
then,
SP = 70% of x = 0.7x
=> 60% of MP = 0.7x
= MP = 0.7x/60*100 = 7x/6
If article is sold at the marked price,
then
SP = 7/6 x
so Required profit percent
(7/6x-x)/x * 100%
= 100/6% = 16 2/3%

4- (a)
5- (c)
Here,M1 = 250,D1=20,T1=5
M2 = ? ,D2= 10, T2 = 8
using M1D1T1 = M2D2T2 , we have
250*20*5 = M2*10*8
M2 = 313

6- (a)
7- (a)
8- (a)
9- (b)
10- (b)
Ratio of reduction is number of employees = 9:8
Ratio of increment in wages = 14:15
Now, ratio of reduction in the wage bill
= 9*14 : 8*15
= 126 : 120
= 21 : 20