## Arithmetic for SBI PO/Clerk Mains 2018: 12 July 2018

1. Himanshu wants to purchase a Samsung mobile handset. The shopkeepers told him to pay 28% tax if he asked for the bill. He managed to get a discount of 6% on the actual sale price (without tax) of the mobile and paid to the shopkeeper Rs. 7191. In doing so, he managed to avoid to pay the 28% tax. What is the amount of discount that Himanshu has received on the selling price (inclusive of tax) ?

1) Rs. 3285

2) Rs. 3823

3) Rs. 2195

4) Rs. 1738

5) Rs. 2601

2) Rs. 3823

3) Rs. 2195

4) Rs. 1738

5) Rs. 2601

2. The ratio of the amount for two years under CI per annum and for one year under SI is 3:2. When the rate of interest is the same, then the rate of interest is ?

1) 27%

2) 38%

3) 50%

4) 25%

5) 42%

2) 38%

3) 50%

4) 25%

5) 42%

3. B is thrice as efficient as A and A can do a piece of work in 21 days. A started working and after a few days B joined him. They completed the work in 15 days from the beginning. For how many days did they work together?

1) 5 days

2) 6.5 days

3) 1 day

4) 2 days

5) 7 days

2) 6.5 days

3) 1 day

4) 2 days

5) 7 days

4. In how many different ways can 8 unidentical balls be placed in 5 different boxes when each box can have any number of balls ?

1) 625

2) 954

3) 523

4) 763

5) 495

2) 954

3) 523

4) 763

5) 495

5. A tank is in the shape of a cuboid whose length is 8.4 m and breadth is 3.5 m water flows into it through a pipe at the rate of 14 metres per second. The cross-section of the pipe is 7 cm × 5 cm. Find the height up to which water level will rise in the tank in 60 minutes.

1) 6.5 m

2) 14 m

3) 10 m

4) 6 m

5) 7 m

2) 14 m

3) 10 m

4) 6 m

5) 7 m

Directions (6-8) : Puja is going to cover a distance of 360 km from Ambala to Khandala. The first one-third of the distance she covers on a cycle. The second one-third she covers by an auto-rickshaw and the remaining distance she travels by car. The average speed of the journey by a car is 5 times the average speed by cycle and 20 km/hr more than the average speed by auto-rickshaw, but she took 1 hour more by auto-rickshaw, than by car.

6.What is the average speed of the whole journey ?

1) 20 km/hr

2) 24 km/hr

3) 15 km/hr

4) 25 km/hr

5) None of these

2) 24 km/hr

3) 15 km/hr

4) 25 km/hr

5) None of these

7. What is the time taken in the whole journey ?

1) 15 hours

2) 12 hours

3) 8 hours

4) 10 hours

5) None of these

2) 12 hours

3) 8 hours

4) 10 hours

5) None of these

8. Instead of travelling the first one-third by cycle if she travels by same auto-rickshaw with the same average speed, then what is the percentage decrease/increase in time taken during the entire journey ?

1) 46.66%

2) 25%

3) 33.33%

4) 50%

5) 40%

2) 25%

3) 33.33%

4) 50%

5) 40%

9. Petrol and kerosene are mixed in vessel A in the ratio of 4 : 5 and in vessel B in the ratio of 9 : 4. In what ratio should these be taken out from both the vessels so as to make a mixture in which the ratio of petrol to kerosene will be 1 : 1 ?

1) 5 : 2

2) 4 : 3

3) 7 : 2

4) 13 : 45

5) 45 : 13

2) 4 : 3

3) 7 : 2

4) 13 : 45

5) 45 : 13

10. The average age of Pankaj his wife and their two children is 23 years. His wife is just 4 year younger than Pankaj himself and his wife was 24 years old when his daughter was born. He was 32 years old when his son was born. The average age of Pankaj and his daughter is :

1) 26 years

2) 25 years

3) 22.5 years

4) 24 years

5) Can’t be determined

2) 25 years

3) 22.5 years

4) 24 years

5) Can’t be determined

Answers:

- 5
- 3
- 4
- 5
- 4
- 2
- 1
- 1
- 5
- 2