Ratio and Proportion Questions for RRB Group D: Download Free PDF

Do you dream of securing a government job in Indian Railways? Whether you aim to be a Track Maintainer, a Gateman, or a Helper in the mechanical department, the RRB Group D exam is your golden ticket. But to get that ticket, you have to cross the hurdle of Mathematics. We know that for many students, Math is a scary subject. But you don’t need to be a mathematician to clear this exam. You just need to master a few “Foundation Topics.” The most important of these is Ratio and Proportion because if you understand Ratios, you can easily solve questions on Ages, Partnership, Mixture, and even Time & Work. To help you prepare without fear, we have selected the most repeated Ratio and Proportion questions for RRB Group D exam in a PDF in this blog. Download the PDF for free and start your practice.

Why is Ratio & Proportion Important for RRB Group D?

In the Mathematics section (25 questions), Ratio and proportion is one of the most important topics.

• High Weightage: You can expect 2 to 3 direct questions from this topic.
• Base for Other Topics: Topics like “Problems on Ages,” “Partnership,” and “Mixture & Alligation” are 100% based on Ratio. If you master this, you automatically prepare for 3-4 other chapters.
• Fast Calculation: Ratio methods allow you to solve long questions without using ‘X’ variables, saving huge time in the exam.

Download Free PDF of Ratio & Proportion Questions for RRB Group D

We have prepared a comprehensive PDF containing exam-level ratio and proportion questions for RRB Group D exam. We have chosen questions that match the exact difficulty level of the exam, focusing on merging ratios, finding proportions, and coin-based problems. Download it, save it, and practice these questions to build your speed.

Q1. If A : B = 3 : 4 and B : C = 8 : 9, then find A : C.

(a) 1 : 2
(b) 3 : 2
(c) 1 : 3
(d) 2 : 3

Answer: (d) 2 : 3

Logic:
A/B × B/C = A/C
(3/4) × (8/9) = 24/36 = 2/3
So, A : C = 2 : 3

Q2. Find the Mean Proportional between 9 and 25.

(a) 15
(b) 12
(c) 18
(d) 20

Answer: (a) 15

Logic:
Mean Proportional = √(a × b)
√(9 × 25) = √225 = 15

Q3. If ₹1000 is divided between Ravi and Surya in the ratio 3 : 2, how much does Ravi get?

(a) ₹400
(b) ₹600
(c) ₹500
(d) ₹700

Answer: (b) ₹600

Logic:
Total parts = 3 + 2 = 5
1 part = 1000 ÷ 5 = 200
Ravi = 3 parts = 3 × 200 = ₹600

Q4. The Fourth Proportional to 4, 8, 7 is:

(a) 12
(b) 14
(c) 16
(d) 10

Answer: (b) 14

Logic:
Let the 4th proportional be x
4 : 8 = 7 : x
So, 4x = 8 × 7 = 56
x = 56 ÷ 4 = 14

Q5. A bag contains 1 rupee, 50 paise, and 25 paise coins in the ratio 5 : 6 : 8. If the total amount is ₹210, find the number of 50 paise coins.

(a) 120
(b) 126
(c) 130
(d) 140

Answer: (b) 126

Logic:
Value ratio:
(5 × 1) : (6 × 0.5) : (8 × 0.25)
= 5 : 3 : 2

Total value parts = 5 + 3 + 2 = 10
10 parts = ₹210
1 part = ₹21

Value of 50p coins = 3 parts = 3 × 21 = ₹63
No. of 50p coins = ₹63 ÷ 0.5 = 126

Q6. If 2A = 3B = 4C, then A : B : C is:

(a) 2 : 3 : 4
(b) 4 : 3 : 2
(c) 6 : 4 : 3
(d) 3 : 4 : 6

Answer: (c) 6 : 4 : 3

Logic:
LCM of 2, 3, 4 = 12
A = 12 ÷ 2 = 6
B = 12 ÷ 3 = 4
C = 12 ÷ 4 = 3
So, A : B : C = 6 : 4 : 3

Q7. The ratio of two numbers is 3 : 5. If 10 is added to each, the ratio becomes 5 : 7. Find the numbers.

(a) 15, 25
(b) 12, 20
(c) 18, 30
(d) 30, 50

Answer: (a) 15, 25

Logic:
Original ratio = 3 : 5
New ratio = 5 : 7

Difference in both ratios = 2 units
Increase from 3 to 5 = 2 units = 10
So, 1 unit = 5

Numbers = 3 × 5 = 15 and 5 × 5 = 25

Q8. Find the Third Proportional to 10 and 20.

(a) 30
(b) 40
(c) 50
(d) 60

Answer: (b) 40

Logic:
Third proportional = (b²) ÷ a
= (20²) ÷ 10
= 400 ÷ 10
= 40

Q9. The salaries of A, B, and C are in the ratio 1 : 2 : 3. The salary of B and C together is ₹6000. By what percent is the salary of C more than that of A?

(a) 100%
(b) 200%
(c) 150%
(d) 300%

Answer: (b) 200%

Logic:
A : C = 1 : 3
C is 2 parts more than A

Percent increase = (2/1) × 100 = 200%

Q10. If x : y = 3 : 4, then find the value of (4x + 5y) : (5x − 2y)

(a) 32 : 7
(b) 32 : 9
(c) 7 : 32
(d) 4 : 3

Answer: (a) 32 : 7

Logic:
Take x = 3 and y = 4

(4x + 5y) = (4×3 + 5×4) = 12 + 20 = 32
(5x − 2y) = (5×3 − 2×4) = 15 − 8 = 7

So ratio = 32 : 7

5 Preparation Tips to Master Ratio & Proportion

You don’t need to fill pages with calculations. Ratio is the art of comparing numbers smartly. If you learn the correct tricks, you can solve these questions without even picking up a pen. Here are 5 relevant and practical tips to help you master Ratio questions for the RRB Group D exam:

1. Use Options: For questions like “Find the numbers if their ratio is 3:4,” check the options first. The correct answer must be divisible by 3 and 4, respectively. This eliminates wrong answers instantly.
2. Master the “Inverse N” Method: To merge A: B and B: C into A:B: C, multiply logically. (A x B_val) : (B x B_val) : (B x C). It saves time.
3. Learn Proportional Formulas: Memorize three small formulas:
   • Mean Proportional = √ab
   • Third Proportional = b²/a
   • Fourth Proportional = bc/a
4. Coin Problem Logic: Be careful with “Number of coins” vs “Value of coins.” Always convert everything to the same unit (Rupees) before solving.
5. Attempt Topic Tests: Reading is passive. Applying is active. Attempt our Free Topic Tests to check if you can solve these questions under 30 seconds.

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FAQs: Ratio & Proportion Questions for RRB Group D