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**Quantitative Aptitude for SBI PO/ Clerk Mains 2018: 16 July **

1. Working 3 hours a day, A can complete a work in 30 days, and working 4 hours a day, B can complete the same work in 18 days. Working 10 hours a day, A and B together can complete the work in

1) 4 days 2) 5 days 3) 6 days 4) 8 days 5) 10 days

2. The sum of the present ages of two persons A and B is 76 years. 10 years ago, their ages were in the ratio of 2 : 5. What will be the ratio of the age of A to that of B 10 years from now?

1) 2 : 5 2) 3 : 5 3) 4 : 5 4) 3 : 4 5) None of the above

3. The difference between the compound interest and the simple interest on a sum for two years at 10% pa, when the interest is compounded yearly, is Rs.400. If the interest is compounded half-yearly, what will be the difference between the CI and the SI?

1) Rs.400 2) Rs.525.50 3) Rs.620.25 4) Rs.640.50 5) Rs.720.125

4. The population of a city was 55000. With an increase in the population of males by 5% and that of females by 7%, the population of the city becomes 58150. What was the number of males in the city before increase?

1) 20000 2) 25000 3) 30000 4) 35000 5) 40000

5. Two trains start at the same time from two stations X and Y and proceed towards each other at the speed of 55 kmph and 35 kmph respectively. When they meet, it is found that one train has travelled 800 km more than the other. What is the distance between the stations X and Y?

1) 3200 km 2) 3600 km 3) 4000 km 4) 4400 km 5) 4800 km

Directions (Q. 6-10): Study the information carefully and answer the questions given below.

There are 500 students in a class who appeared in an exam comprising Paper P1 and P2. The ratio of the number of boys to girls is 7 : 3. Out of the total boys, 44% passed in Paper P2 only, which is 82 more than the total number of girls who passed in Paper P2 only. 28% of girls passed in Paper P1 only, which is one–third of the total number of boys who passed in both the papers. No one failed in both the papers.

Answer the following questions based on this information.

6. The total number of boys who passed in Paper P1only is what per cent of the total number of students who appeared in the exam?

1) 12% 2) 14% 3) 16% 4) 18% 5) 20%

7. What percentage of girls passed in both the papers?

1) 16% 2) 20% 3) 24% 4) 28% 5) 32%

8. What is the difference between the total number of boys who passed in Paper P1and the total number of girls who passed in Paper P2?

1) 82 2) 84 3) 86 4) 88 5) 90

9. What percentage of the students passed in both the papers?

1) 32.4% 2) 34.6% 3) 36.8% 4) 38.2% 5) 40%

10. The total number of boys who passed in Paper P2 is what percentage of the total number of students who appeared in the exam?

1) 36% 2) 40% 3) 48% 4) 51% 5) 56%

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