Ratio and proportion – Interview Questions with Answers
This blog explains about Ratio and proportion – Interview Questions with Answers and is given below :
1.Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
| A. |
2 : 5 |
| B. |
3 : 5 |
| C. |
4 : 5 |
| D. |
6 : 7 |
Answer: Option C
Explanation:
Let the third number be x.
| Then, first number = 120% of x = |
120x |
= |
6x |
| 100 |
5 |
| Second number = 150% of x = |
150x |
= |
3x |
| 100 |
2 |
| Ratio of first two numbers = |
|
6x |
: |
3x |
|
= 12x : 15x = 4 : 5 |
| 5 |
2 |
|
| 2 . A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share? |
| A. |
Rs. 500 |
| B. |
Rs. 1500 |
| C. |
Rs. 2000 |
| D. |
None of these |
Answer: Option C
Explanation:
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x – 3x = 1000
x = 1000.
B’s share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000. |
| 3 . In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is: |
| A. |
20 litres |
| B. |
30 litres |
| C. |
40 litres |
| D. |
60 litres |
Answer: Option D
Explanation:
| Quantity of milk = |
|
60 x |
2 |
litres = 40 litres. |
| 3 |
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
| Then, milk : water = |
|
40 |
|
. |
| 20 + x |
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres. |
| 4. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
ANSWER :
|
| 5 . If 0.75 : x :: 5 : 8, then x is equal to: |
| A. |
1.12 |
| B. |
1.2 |
| C. |
1.25 |
| D. |
1.30 |
Answer: Option B
Explanation:
| (x x 5) = (0.75 x 8) x = |
|
6 |
|
= 1.20 |
| 5 |
| |
6 . The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is: |
|
|
Answer: Option B
Explanation:
Let the three parts be A, B, C. Then,
| A : B = 2 : 3 and B : C = 5 : 8 = |
|
5 x |
3 |
|
: |
|
8 x |
3 |
|
= 3 : |
24 |
| 5 |
5 |
5 |
| A : B : C = 2 : 3 : |
24 |
= 10 : 15 : 24 |
| 5 |
| |
7 . Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is: |
|
Answer: Option B
Explanation:
Let the numbers be 3x and 5x.
| Then, |
3x – 9 |
= |
12 |
| 5x – 9 |
23 |
23(3x – 9) = 12(5x – 9)
9x = 99
x = 11.
The smaller number = (3 x 11) = 33. |
| 8 . The fourth proportional to 5, 8, 15 is: |
|
Answer: Option B
Explanation:
Let the fourth proportional to 5, 8, 15 be x.
Then, 5 : 8 : 15 : x
5x = (8 x 15)
|
9 . If Rs. 782 be divided into three parts, proportional to : : , then the first part is: |
| A. |
Rs. 182 |
| B. |
Rs. 190 |
| C. |
Rs. 196 |
| D. |
Rs. 204 |
Answer: Option D
Explanation:
Given ratio = : : = 6 : 8 : 9.
| 1st part = Rs. |
|
782 x |
6 |
|
= Rs. 204 |
| 2 |
10 . The two numbers are in the ratio 1 : 3 . After adding 5 to each number , the ratio becomes 1 : 2 . What are the numbers ?
Answer :
Let the two numbers be x and 3 x . After adding 5 to each , the ratio becomes 1 : 2
So ( x+ 5 ) : ( 3 x + 5 ) = 1 : 2
=> 2 ( x + 5 ) = 3 x + 5
=> 2 x + 10 = 3 x + 5
=> x = 5
The numbers are 5 and 15 . |
|
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