This set of Aptitude Questions and Answers (MCQs) focuses on “Ratio and Proportion”. These questions are beneficial for various competitive exams, placement interviews, and entrance tests.

1. The ratio between two numbers is 2 : 11. If the difference between the numbers is 81 find the smaller number.

a) 10

b) 12

c) 16

d) 18

View Answer

Explanation: Let the ratio be in terms of x.

The first number = 2x

The second number = 11x

The difference between the numbers = 11x – 2x = 9x

9x = 81

2x = 81 / 9 * 2 = 18

2. A number is twice a second number which in turn is 3 times the third number. Find the ratio of the series.

a) 6 : 3 : 1

b) 2 : 3 : 5

c) 2 : 3 : 6

d) 2 : 4 : 7

View Answer

Explanation: Let the last number be x.

The second number is 3 time the third number = 3 * x = 3x

The first number is twice the second number = 3x * 2 = 6x

The ratio of the series = 6x : 3x : x = 6 : 3 : 1

3. The ratio of two numbers is 11 : 12. If the sum of the numbers is 253, find the difference between the numbers.

a) 10

b) 11

c) 12

d) 21

View Answer

Explanation: Let the ratio of the numbers be in terms of x.

The sum of the numbers = 11x + 12x = 23x

The sum of the numbers = 23x = 253

The difference between the numbers = 12x – 11x = x

X = 253 / 23 = 11

4. The sum of three numbers is 123. If the numbers are in a ratio 1 : 2 : 3, find the difference between the largest and the smallest number.

a) 31

b) 36

c) 41

d) 46

View Answer

Explanation: Let the ratios be in terms of x.

The sum of the numbers = x + 2x + 3x = 6x

The difference between the largest and the smallest number = 3x – x = 2x

The sum of the numbers = 6x = 123

X = 123 / 6 = 20.5

The difference between the largest and the smallest numbers = 2x = 20.5 * 2 = 41

5. The product of two numbers is 693. If the numbers are in a ratio 7 : 11, find the difference between the numbers.

a) 10

b) 12

c) 14

d) 16

View Answer

Explanation: Let the ratios be in terms of x.

The numbers will be 7x and 11x.

The product of the numbers = 7x * 11x = 77x

^{2}= 693

X

^{2}= 693 / 77 = 9

X = 3

The numbers = 7x, 11x = 21, 33

The difference between the numbers = 33 – 21 = 12

6. The product of two numbers is 10 more than 5 times the sum times the sum. Find the numbers if the numbers are in a ratio 5 : 6.

a) 10, 12

b) 5, 6

c) 15, 18

d) 20, 24

View Answer

Explanation: Let the ratios be in terms of x.

The numbers will be 5x and 6x.

The product of the numbers = 30x

^{2}

The sum of the numbers = 6x + 5x = 11x

Now it is giving that 30x

^{2}= 5 * 11x + 10 = 55x + 10

30x

^{2}= 55x + 10

On solving the quadratic equation, we get x = 2

The numbers are 10 and 12.

7. Three numbers are in a ratio 8 : 9 : 10. Which of the following can be a sum of the numbers?

a) 2582

b) 2580

c) 2590

d) 2592

View Answer

Explanation: The only possible sum of the numbers can be any digit which is a multiple of 27.

The sum of the terms of the ratio is 27 that means that the sum of the digits will be a multiple of 27 with x being the constant. Thus, the digits must be a multiple of 27. The only option multiple of 27 is 2592.

8. The difference of two numbers is 21 and the sum of the numbers is 402. Find the ratio of the numbers.

a) 190, 211

b) 190.2, 211.2

c) 190.4, 211.4

d) 190.5, 211.5

View Answer

Explanation: Let the numbers be x and y.

X – y = 21

X + y = 402

On adding both the equations we get:

2x = 423

X = 211.5 and y = 402 – x = 190.5

9. 4 numbers are in a ratio 4 : 5 : 6 : 7. Find the product of the unit digits of the numbers if their sum is 242.

a) 800

b) 840

c) 880

d) 960

View Answer

Explanation: Let the ratios be in terms of x.

The numbers will be: 4x, 5x, 6x and 7x.

The sum of the numbers = 4x + 5x + 6x + 7x = 22x = 242

X = 242 / 22 = 11

4x = 44, 5x = 55, 6x = 66 and 7x = 77

The product = 4 * 5 * 6 * 7 = 840

10. The product of two numbers is 10 times their sum. Find the sum of the numbers if they are in a ratio 1 : 1.

a) 20

b) 200

c) 40

d) 400

View Answer

Explanation: Let the number be in terms of x.

The sum = x + x = 2x

The product = x * x = x

^{2}

X

^{2}= 2x * 10 = 20x

The only possible value of x that satisfies the condition is 20.

So, the number is 20.

The sum = 20 + 20 = 40

**More Aptitude Questions and Answers on Ratio and Proportion:**

- Ratio and Proportion Questions (Set 2)
- Ratio and Proportion Questions (Set 3)
- Ratio and Proportion Questions (Set 4)
- Ratio and Proportion Questions (Set 5)
- Ratio and Proportion Questions (Set 6)

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.