## Quantitative Aptitude for RBI Grade ‘B’

1. The population of a country increases by 10% during the first year, 17% during the second year and 20% during the third year. If the present population of the country is 10501920, what was its population three years ago?

1) 64 lakh

2) 68 lakh

3) 72 lakh

4) 78 lakh

5) 84 lakh

2. The sum of the ages of a father and his son is 76 years. 13 years ago, the ratio of their ages was 4 : 1. What is the present age of the son?

1) 18 years

2) 21 years

3) 23 years

4) 25 years

5) 28 years

3. What will be the percentage profit after selling an item at a certain price if there occur a loss of 28% on selling the article at 3⁄5 of the selling price?

1) 15%

2) 20%

3) 24%

4) 18%

5) 25%

4. A person invested 2⁄3 of his capital at 8%, 1⁄6 at 10% and the remaining at 12% rate of interest. If the annual interest he got on all three parts together is Rs 2160, what is the total capital invested?

1) Rs 36000

2) Rs 30000

3) Rs 24000

4) Rs 21000

5) Rs 18000

5. The difference between the compound interest and simple interest on a certain sum of money at 10% pa for two years is Rs 67.5. What is the sum?

1) Rs 6250

2) Rs 6500

3) Rs 6750

4) Rs 7000

5) Rs 7250

6. A man, a woman or a boy can do a job in 30 days, 60 days and 90 days respectively. How many boys must work with five men and four women to finish the same work in three days?

1) 3

2) 6

3) 9

4) 12

5) 15

7. In a party, every person shakes hands with every other person. If there occur a total of 351 handshakes in the party, how many persons were present at the party?

1) 25

2) 26

3) 27

4) 28

5) 29

8. A bag contains 10 white, 8 black and 6 blue balls. If two balls are drawn at random, find the probability of both the balls being black?

1)1⁄3

2)1⁄12

3)7⁄69

4)9⁄69

5) None of these

9. 7 men and 11 women can earn Rs 9512 in 8 days. 8 men and 5 women can earn Rs 5700 in 6 days. In how many days will 6 men and 7 women earn Rs 3552?

1) 4 days

2) 6 days

3) 8 days

4) 9 days

5) None of these

10. Two trains start at the same time from two stations A and B and proceed towards each other at the speed of 90 kmh–1 and 65 kmh–1 respectively. When they meet, it is found that one train has travelled 225 km more than the other. What is the distance between station A and B?

1) 1125 km

2) 1215 km

3) 1305 km

4) 1395 km

5) 1435 km

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