Bank Exams - Study Materials - Numerical Aptitude III

 Problems on Area

1. If the area of a rectangular plot increases by 30% while its breadth remains same, what will be the ratio of the areas of new and old figures?

1. 4 : 3
2. 5 : 1
3. 4 : 7
4. 11 : 13
5. None of these
Answer 5
2. A typist uses a sheet measuring 20 cm by 30 cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is:

1. 40
2. 70
3. 64
4. 75
5. 36
Answer 3
3. What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?

1. Rs. 1900 2. Rs. 3600
3. Rs. 3440
4. cannot be determined
5. None of these
Answer 3

4. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq. m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction.

1. Rs. 3600
2. Rs. 5000
3. Rs. 4800
4. data inadequate
5. None of these
Answer 4

5. Within a rectangular garden 10 m wide and 20 m long, we wish to pave a walk around the borders of uniform width so as to leave an area of 96 m2 for flowers. How wide should the walk be?

1. 3.2 m
2. 2 m
3. 2.7 m
4. 3.5 m
5. 3 m
Answer 2

6. A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. metre is:

1. Rs. 257.50
2. Rs. 258
3. Rs. 262.50
4. Rs. 275
5. Rs. 265
Answer 2

7. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

1. 4.50 m
2. 4 m
3. 6.50 m
4. 3 m
5. None of these
Answer 5

8. A housing society has been allotted a square piece of land measuring 2550.25 sq. m. What is the side of the plot?

1. 52.65 m
2. 50.5 m
3. 50.65 m
4. 50.15 m
5. None of these

Answer 2

Bank Exams - Study Materials - Numerical Aptitude II

Simple Interest and Compound Interest

1. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

1. 13%
2. 10.25%
3. 15%
4. 11%
5. None of these

Answer 2

2. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

1. Rs. 850
2. Rs. 790
3. Rs. 698
4. Rs. 800
5. Rs. 600

Answer 3

3. Sum of money becomes Rs. 13,380 after 3 years and Rs. 20,070 after 6 years on compound interest. The sum is:

1. Rs. 9200
2. Rs. 9000
3. Rs. 8920
4. Rs. 9040
5. Rs. 9500

Answer 3

4. A sum of Rs. 12,000 deposited at compound interest becomes double after 5 years. After 20 years, it will become:

1. Rs. 1,10,000
2. Rs. 1,30,000
3. Rs. 1,24,000
4. Rs. 1,92,000
5. Rs. 1,50,000

Answer 4

5. A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in:

1. 7 years
2. 12 years
3. 15 years
4. 30 years
5. 21 years

Answer 3

6. If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 27 times in:

1. 11 years
2. 12 years
3. 24 years
4. 38 years
5. 21 years
Answer 2

7. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

1. 7
2. 4
3. 5
4. 8
5. 7

Answer 2

8. A man borrows Rs. 2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

1. Rs.1275
2. Rs.1383
3. Rs.1352
4. Rs.1287
5. Rs.1250

Answer 3

9. What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?

1. Rs.650
2. Rs.551.25
3. Rs.560
4. Rs.660.75
5. Rs.600

Answer 2

10. A man borrows Rs. 12,500 at 20% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such instalments?

1. Rs.14,000
2. Rs.13,684
3. Rs.15,600
4. Rs.14,320
5. None of these

Answer 5

Bank Exams - Study Materials - Numerical Aptitude I

Problems on Trains

1. A train moves past a phone post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
(1) 75 km/hr
(2) 82 km/hr
(3) 79 km/hr
(4) 79.2 km/hr
(5) None of these

Answer (4)



2. A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is:
(1) 73 m
(2) 92 m
(3) 90 m
(4) 100 m
(5) None of these

Answer (3)


3. How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
(1) 32
(2) 30
(3) 40
(4) 48
(5) None of these

Answer (2)


4. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
(1) 38 sec
(2) 20 sec
(3) 36 sec
(4) 72 sec
(5) None of these

Answer (3)



5. A 110 metres long train is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
(1) 8 sec
(2) 6 sec
(3) 7 sec
(4) 12 sec
(5) None of these
Answer (2)