Quantitative Aptitude for SBI PO/Clerk 2018: 29 May

1.  There are two mixtures in which milk and water are in the ratio of 2 : 3 and 3 : 7 respectively. In what ratio should the two mixtures be mixed to form a new mixture in which the ratio of milk to water is 4 : 7?
1) 7 : 4
2) 7 : 3
3) 7 : 2
4) 3 : 8
5) None of these

2. A money lender finds that due to a fall in the rate of interest from 13% to 12 1/2% his yearly income has reduced by Rs. 104. What is his capital?
1) 10400
2) 20800
3) 10800
4) 20400
5) None of these

3. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8 : 20 hours then at what time will they again change simultaneously?
1) 8 : 27 min 12 sec
2) 8 : 28 min 12 sec
3) 8 : 30 min 12 sec
4) 8 : 29 min 12 sec
5) None of these

4. An aeroplane started 30 minutes later than the scheduled time from a place 1800 km away from its destination. To reach the destination at the scheduled time the pilot increased the speed by 300 kmph. What was the speed of the aeroplane in kilometre per hour during the entire journey?
1) 1300 km/h
2) 1200 km/h
3) 1250 km/h
4) 1320 km/h
5) 1420 km/h

5. There is an equilateral triangle of which each side is 2 m. With all three corners as centres, circles of radius 1 m each are described. Calculate the area common to all the circles and triangles.
1) 1.57 m2
2) 15.7m2
3) 0.157m2
4) 1.67m2
5) None of these

6. What sum of money at compound interest will amount to Rs. 2249.52 in 3 years, if the rate of interest is 3% for the first year, 4% for the second year and 5% for the third year?
1) Rs. 4000
2) Rs. 5000
3) Rs. 3080
4) Rs. 2000
5) Rs. 2530

7. Three partners altogether invested Rs. 114000 in a business. At the end of the year, the first partner got Rs. 337.50, the second partner got Rs. 1125 and the third partner got Rs. 675 as profit. What is the ratio of their investments?
1) 3 : 10 : 6
2) 10 : 3 : 6
3) 6 : 10 : 3
4) 6 : 3 : 10
5) None of these

8. The length of a rectangular floor is 2.25 times its breadth. If Rs. 1800 is required to cover the floor with marble at the rate of Rs. 2/m2, what would be the length of the floor?
1) 45m
2) 49m
3) 51m
4) 43m
5) 41m

9. 5 cm rain has fallen on 2 km2 of land. Assuming that 60% of the raindrops could have been collected and contained in a pool having 200 m × 8 m base, by what height would the water level in the pool have risen?
1) 31.5m
2) 37.5m
3) 33.9m
4) 34.7m
5) 32.8m

10. Each edge of a cube is decreased by 50%. Find the percentage decrease in its surface area and the volume respectively.
1) 87.5%, 75%
2) 88.5%, 75%
3) 75%, 87.5%
4) 90.5%, 87.5%
5) None of these

11. In the centre of a room 100 m2, there is a square-shaped carpet, and the rest of the floor is covered with oil cloths. The carpet and the cloths cost Rs. 15 and Rs. 6.50 per square metre respectively and the total cost of the carpet and the oil cloth is Rs. 338.5. Find the width of the oil cloth.
1) 10 dm
2) 5 dm
3) 15 dm
4) 20 dm
5) 12 dm

12. The average age of a family of 6 members is 28 years. If the youngest member of the family is 7 years old then what is the average age of the family at the birth of the youngest member when the grandfather died at the age of 71 after 1 year of his birth?
1) 26 years
2) 27 years
3) 28 years
4) 29 years
5) 30 years

13. In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed in A, 22% students failed in B and 16% failed in C. The total number of students who passed the whole examination lies between.
1) 42% and 84%
2) 42% and 78%
3) 58% and 78%
4) 58% and 84%
5) 60% and 80%

14. Rahul can row a certain distance downstream in 8 hours and the return the same distance in 12 hous. If the stream flow at the rate of 2 kmph find the speed of Rahul in still water.
1) 12 kmph
2) 12.5 kmph
3) 10 kmph
4) 15 kmph
5) 24 kmph

15. Train A crosses a pole in 25 seconds and another train B crosses a pole in 1 minute and 15 seconds. The length of train A is half the length of train B. What is the ratio of the speed of train A to that of train B?
1) 3 : 2
2) 3 : 4
3) 4 : 3
4) 2 : 3
5) None of these

1. 1
2. 2
3. 1
4. 2
5. 1
6. 4
7. 1
8. 1
9. 2
10. 3
11. 2
12. 3
13. 2
14. 3
15. 1
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