Ratio & Proportion (Railway Maths) (Part – I)

Total Questions: 50

1. If 5 + x, 2x + 7, 6x + 9, and y are in proportion when x = 2, find the value of y. [Group D 17/08/2022 (Evening)]

Correct Answer: (a) 33
Solution:

2. If 9 : 12 :: 12 : x, and 28 : 42 :: 42 : y, then the value of 2x + y is: [Group D 18/08/2022 (Morning)]

Correct Answer: (a) 95
Solution:

3. If three numbers are in the ratio 5 : 6 : 8 and the sum of their squares is 1250, then the product of those numbers is: [Group D 18/08/2022 (Morning)]

Correct Answer: (b) 2400√10
Solution:

4. The monthly incomes of two friends Anuj and Mathew are in the ratio 5 : 7 and each of them saves ₹10,000 every month. If the ratio of their expenditure is 2 : 3, find the income of Anuj. [Group D 22/08/2022 (Evening)]

Correct Answer: (c) ₹50,000
Solution:

5. A sum of money is to be distributed among four members A, B, C, D in the ratio 4 : 7 : 9 : 3. If C gets ₹720 more than D, find D's share. [Group D 23/08/2022 (Morning)]

Correct Answer: (c) ₹360
Solution:

6. If 48 : x :: x : 75 and x > 0, then what is the value of x? [Group D 23/08/2022 (Afternoon)]

Correct Answer: (d) 60
Solution:

7. If x = 3, then find the fourth proportional of x + 7x, x + 5 and x + 6. [Group D 24/08/2022 (Afternoon)]

Correct Answer: (d) 3
Solution:

8. A 3-digit number is such that the ratio of its units digit, tens digit and hundreds digit is 1 : 2 : 3. The sum of this number and the reversed number obtained by reversing the order of its digits is 1332. Find the number ? [Group D 26/08/2022 (Evening) ]

Correct Answer: (d) 963
Solution:

9. If 12 : x :: x : 27, and 25 : y :: y : 36, when x and y are both positive numbers, find x : y. [Group D 29/08/2022 (Evening) ]

Correct Answer: (b) 3 : 5
Solution:

10. A vessel is one-fourth full of water. After adding 10 cups of water to it, the vessel gets three-fourth full. Find the capacity of the vessel in cups. [Group D 30/08/2022 (Evening) ]

Correct Answer: (a) 20
Solution: