Quants for SBI PO/Clerk 2018: 03 May

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 `400. If the interest is compounded half-yearly, what will be the difference between the CI and the SI?
1) `400             2) `525.50        3) `620.25        4) `640.50        5) `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
6. In a party every person shakes hands with every other person. If there were a total of 990 handshakes in the party, find the number of persons who were present in the party.
1) 75                2) 60                3) 55                4) 48                5) 45
7. A and B sit in a round table conference with 15 other persons. If the 17 persons are seated all random, what is the probability that there are exactly 5 persons between A and B?
1) 1/8                    2) 2/17                     3) 1/9                     4) 2/15                      5) 1/7
8. A man can row 50 km upstream and 64 km downstream in 9 hours. Also, he can row 30 km upstream and 80 km downstream in 8 hours. What is the speed of the man in still water?
1) 10 kmph      2) 11 kmph     3) 13 kmph      4) 15 kmph      5) 16 kmph
9. What will come in place of question mark (?) in the given number series?
4, 12, 34, 82, 174, 334, ?
1) 484              2) 512              3) 58                4) 592              5) 608
10. The population of a city increases by 13% in the first year and it decreases by 17% in the second year. If its present population is 487708, what was its population two years ago?
1) 4.8 lakh       2) 5 lakh          3) 5.2 lakh       4) 5.4 lakh       5) 5.6 lakh

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