Quantitative Aptitude For SSC Tier_2 and SSC CHSL Exam

1. A stock of food grain is enough for 500 persons for 8 weeks. How long will the same stock last for 400 persons?

(a) 9 weeks

(b) 10 weeks

(c) 15 weeks

(d) 20 weeks

2. If the marked price of an item is 1.5 times its cost price and it is sold at 10% loss, then the percentage of discount is

(a) 10%

(b) 20%

(c) 30%

(d) 40%

3.  The prices of two articles are as 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price (in Rs.) of the second article is

(a) 10

(b) 30

(c) 50 

(d) 40

4. The monthly incomes of P and Q are as 5 : 6 and the monthly expenditures are as 4 : 5. If both of them save Rs. 500 every month, the monthly income of P (in Rs.) is

(a) 2,400

(b) 2,800

(c) 3,000

(d) 2,500

5. Two bags contain marbles in the ratio of 3 : 4. If 4 marbles are transferred from the second bag to the first, the number of marbles in the two bags becomes equal. The number of marbles in each bag is

(a) 12 and 16

(b) 24 and 32

(c) 15 and 20

(d) 18 and 24

6. In a mixture of 25 litres, the ratio of two liquids A and B is 4 : 1. If 2 litres of liquid A and 3 litres of liquid B are added to it what is the new ratio of A and B?

(a) 11 : 4

(b) 4 : 11

(c) 9 : 4

(d) 4 : 9

7. Two vessels  A and B contain milk and water in the ratio of 5 : 3 and 2 : 3. When these mixture are mixed to form a new mixture containing half milk and half water, they must be take in the ratio of

(a) 2 : 5

(b) 3 : 5

(c) 4 : 5

(d) 7 : 3

8. The mean temperature of Monday to Wednesday was 37°C.and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5th that of Monday, the temperature on Thursday was

(a) 36°C

(b) 35.5°C

(c) 36.5°C

(d) 35°C

9. A man had 5 children, When their average age was 10 years, the child who was of 5 years of age died. What was the average age (in years) of the surviving children 4 years after the death of the child?

(a) 15 1/4

(b) 14 3/4

(c) 15

(d) 14

10. In nine numbers the average of the first five numbers is 5 and that of the last five numbers is also 5. If the average of these nine number is 4, the fifth number is

(a) 9

(b) 11

(c) 4 

(d) 14

ANSWERS AND SOLUTIONS:
1- (b)
M1D1 = M2D2
500*8 = 400*D2
D2 = 10 days
2- (d)
Let cost price = Rs.100
Marked price = Rs.(100*1.5) = 150
Selling price = (100*90/100) = 90
Discount offered = (150-90)/150 * 100 = 40%
3- (d)
4- (d)
5- (b)
6- (a)
Liquid of A in original mixture = 4/5*25 = 20 litres
Liquid of B in original mixture = 1/5*25 = 5 litres
Required ratio = (20+2) : (5+3) = 11:4
7- (c)
8- (a)
9- (a)
ATQ,
Average Age = ((5*10-5)+4*4)/4 = 15 (1/4) years
10- (d)
ATQ,
Fifth number=(5*5)+(5+5)-9*4 = 14