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Ratio & Proportion Previous Year Questions

42 Ratio & Proportion (Mathematics) questions asked in RRB JE previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Other Mathematics topics

Time, Speed & Distance 52Number System 52Percentage 52Profit & Loss 51Mensuration 51Algebra 37Statistics 37Simple & Compound Interest 36Time & Work 30Simplification 29Average 29Geometry 11Problems on Ages 9
Q1RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 239, determine the number of boys participating in the sports.
  1. A1215
  2. B1225
  3. C1195
  4. D1170
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Correct answer: (C) 1195

Q2RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The average price of three items of furniture is Rs 16860. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A7868
  2. B10116
  3. C3372
  4. D5620
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Correct answer: (B) 10116

Q3RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A cube of side 5 cm is cut into smaller cubes of side 1 cm. What is the ratio of the total surface area of the larger cube and the sum of the total surfaces of all the smaller cubes?
  1. A1 : 5
  2. B1 : 3
  3. C2 : 5
  4. D2 : 3
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Correct answer: (A) 1 : 5

Q4RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Twelve years ago, the age of Reena's mother was three times the age of Reena. Two years hence, the mother's age will be 2 times the age of Reena. Find the ratio of the present ages of Reena and her mother.
  1. A5 : 9
  2. B27 : 13
  3. C13 : 27
  4. D9 : 11
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Correct answer: (C) 13 : 27

Q5RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The average price of three items of furniture is Rs 16890. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A10134
  2. B3378
  3. C5630
  4. D7882
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Correct answer: (A) 10134

Q6RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The greatest common divisor (GCD) and least common multiple (LCM) of two numbers are 12 and 480, respectively, and the numbers are in the ratio of 5 : 8. Find the difference between the two numbers.
  1. A36
  2. B12
  3. C24
  4. D42
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Correct answer: (A) 36

Q7RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If 546 apples were distributed among Neeraj, Vidya, and Mohan in the ratio 1/6 : 1/2 : 1/3, how many apples did the Mohan get?
  1. A202
  2. B192
  3. C172
  4. D182
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Correct answer: (D) 182

Q8RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The average price of three items of furniture is Rs 16830. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A7854
  2. B5610
  3. C3366
  4. D10098
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Correct answer: (D) 10098

Q9RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
In △ABC, DE ∥ AC, where D and E are the points on sides AB and BC, respectively. If BD = 8 cm and AD = 7 cm, then what is the ratio of the area of △BDE to the trapezium ADEC?
  1. A161:64
  2. B65:162
  3. C64:161
  4. D162:65
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Correct answer: (C) 64:161

Q10RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Two numbers are in the ratio 5 : 8. If the first number is increased by 13 and the second number is decreased by 6, then the ratio becomes 4 : 6. What is the sum of the original two numbers?
  1. A650
  2. B681
  3. C665
  4. D663
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Correct answer: (D) 663

Q11RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The average price of three items of furniture is Rs 16455. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A5485
  2. B3291
  3. C7679
  4. D9873
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Correct answer: (D) 9873

Q12RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The ratio between HCF and LCM of two numbers 62 and 217 is 1 : 14. Find the LCM.
  1. A439
  2. B402
  3. C430
  4. D434
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Correct answer: (D) 434

Q13RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The average price of three items of furniture is Rs 15765. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is
  1. A22071
  2. B7357
  3. C3153
  4. D5255
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Correct answer: (A) 22071

Q14RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Which of the following ratio is smallest?
  1. A18 : 42
  2. B19 : 60
  3. C15 : 47
  4. D29 : 55
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Correct answer: (B) 19 : 60

Q15RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The average price of three items of furniture is Rs 16440. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A9864
  2. B3288
  3. C5480
  4. D7672
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Correct answer: (A) 9864

Q16RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
What is the primary reason for a central bank to increase the reserve requirement ratio of commercial banks?
  1. ATo decrease the money supply in the economy
  2. BTo increase the money supply in the economy
  3. CTo decrease the profitability of commercial banks
  4. DTo encourage banks to lend more
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Correct answer: (A) To decrease the money supply in the economy

Q17RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The ratio of the lengths of two corresponding sides of two similar triangles is 17 : 13. The ratio of the areas of these two triangles, in the order mentioned, is:
  1. A289 : 169
  2. B17 : 13
  3. C17√17 : 13
  4. D290 : 170
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Correct answer: (A) 289 : 169

Q18RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which of the following ratio is smallest?
  1. A20 : 51
  2. B22 : 47
  3. C21 : 49
  4. D28 : 39
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Correct answer: (A) 20 : 51

Q19RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Two numbers are in the ratio 2 : 4. If the first number is increased by 4 and the second number is decreased by 14, then the ratio becomes 8 : 5. What is the sum of the original two numbers?
  1. A41
  2. B24
  3. C38
  4. D36
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Correct answer: (D) 36

Q20RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If x varies inversely as y³ - 1 and is equal to 7 when y = 2, find x when y = 6.
  1. A49/215
  2. B49/216
  3. C50/216
  4. D51/215
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Correct answer: (A) 49/215

Q21RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The average price of three items of furniture is Rs 16875. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A5625
  2. B3375
  3. C10125
  4. D7875
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Correct answer: (C) 10125

Q22RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If the ratio of four angles of a quadrilateral is ∠A : ∠B : ∠C : ∠D :: 2 : 3 : 5 : 8, what is the value of ∠B?
  1. A60°
  2. B90°
  3. C50°
  4. D40°
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Correct answer: (A) 60°

Q23RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The average price of three items of furniture is Rs 16800. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A3360
  2. B7840
  3. C5600
  4. D10080
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Correct answer: (D) 10080

Q24RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Which of the following ratio is smallest?
  1. A17 : 39
  2. B23 : 48
  3. C10 : 36
  4. D15 : 33
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Correct answer: (C) 10 : 36

Q25RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
Two numbers are in the ratio 7 : 5. If the first number is increased by 14 and the second number is decreased by 5, then the ratio becomes 4 : 2. What is the sum of the original two numbers?
  1. A96
  2. B106
  3. C111
  4. D115
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Correct answer: (A) 96

Q26RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
If 214 apples were distributed among Ajay, Amit, and Amar in the ratio 1/5 : 1/7 : 1/6, how many apples did the Amar get?
  1. A80
  2. B70
  3. C40
  4. D100
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Correct answer: (B) 70

Q27RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
The average price of three items of furniture is Rs 16845. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A7861
  2. B3369
  3. C5615
  4. D10107
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Correct answer: (D) 10107

Q28RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Which of the following statements accurately describes the role of moral suasion in controlling money?
  1. AIt is a combination of persuasion and pressure used by the RBI to influence banks' lending behaviour.
  2. BIt is a direct tool used by the RBI to control the money supply by setting interest rates.
  3. CIt refers to the variation in the statutory liquidity ratio to regulate the allocation of bank credit.
  4. DIt involves the sale and purchase of government securities to influence the money supply.
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Correct answer: (A) It is a combination of persuasion and pressure used by the RBI to influence banks' lending behaviour.

Q29RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Which observation supports the law of constant proportions for water?
  1. AWater boils at fixed temperature
  2. BWater exists in three states
  3. CHydrogen and oxygen ratio is fixed
  4. DWater conducts electricity weakly
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Correct answer: (C) Hydrogen and oxygen ratio is fixed

Q30RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
When x is added to each of 13, 19, 16 and 23, then the numbers so obtained, in this order, are in proportion. Then, if 5x : y :: y : (8x-4), and y > 0, what is the value of y?
  1. A42
  2. B37
  3. C41
  4. D30
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Correct answer: (D) 30

Q31RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Find the ratio between the fourth proportional of 8, 12 and 4, and the third proportional of 6 and 9.
  1. A4:9​
  2. B5:11
  3. C7:11
  4. D9:13
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Correct answer: (A) 4:9​

Q32RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Five years ago, the ratio of the ages of Amit and Bhanu was 2 : 3. Fifteen years from now, their ages will be in the ratio of 5 : 6. Find the sum of their present ages. (Give your answer in years and months, if relevant.)
  1. A43 years, 4 months
  2. B80 years
  3. C​43 years
  4. D43 years, 3 months
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Correct answer: (A) 43 years, 4 months

Q33RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
If 2 : 4 :: 4.6 : x and 4 : 16 :: 2 : y, what is the ratio of x to y?
  1. A24 : 18
  2. B27 : 30
  3. C23 : 20
  4. D21 : 21
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Correct answer: (C) 23 : 20

Q34RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
What is it called when the government sells part of its share in public sector companies to the public?
  1. ANationalisation
  2. BGlobalisation
  3. CDisinvestment
  4. DIndustrialisation
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Correct answer: (C) Disinvestment

Q35RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
According to the law of constant proportions, the compound in which hydrogen and oxygen are present in a fixed mass ratio of 1:8 is:
  1. AMethane
  2. BAmmonia
  3. CWater
  4. DHydrogen peroxide
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Correct answer: (C) Water

Q36RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
If 7 : 21 :: 2.2 : x and 7 : 49 :: 9 : y, what is the ratio of x to y?
  1. A11 : 105
  2. B12 : 103
  3. C15 : 115
  4. D9 : 106
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Correct answer: (A) 11 : 105

Q37RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
In a wallet containing gold, silver and bronze tokens, the ratio of gold to silver tokens was 5:17 while the ratio of bronze to gold tokens was 18:19. What was the ratio of bronze to silver tokens?
  1. A98:328
  2. B93:327
  3. C90:323
  4. D95:330
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Correct answer: (C) 90:323

Q38RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
What does Snell's law of refraction state about the ratio of the sine of the angle of incidence to the sine of the angle of refraction for a given colour and pair of media?
  1. AIt varies with the normal.
  2. BIt depends on the type of mirror.
  3. CIt remains constant.
  4. DIt changes with the angle of incidence.
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Correct answer: (C) It remains constant.

Q39RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
If x varies directly as y and inversely as z, and x = 16 when y = 40 and z = 3, then find x when y = 50 and z = 6.
  1. A12
  2. B10
  3. C16
  4. D15
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Correct answer: (B) 10

Q40RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
A vending machine contains ₹1, 50 paise, and 25 paise coins. In one tray, the number of coins of these denominations is in the ratio 2:3:4, and their total value is ₹180. In another tray, the values of ₹1, 50 paise, and 25 paise coins are in the ratio 13:11:7, and the total number of coins in this tray is 378. How many 50-paise coins are there in total across both trays?
  1. A251
  2. B250
  3. C252
  4. D253
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Correct answer: (C) 252

Q41RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
The ratio of fare of a person between Auto and Bus is 2 : 3.5 and the ratio of number of passengers travelled, on a particular day, by Auto and Bus is 4 : 7. By what fraction the total fare collected by Auto on that particular day is less than the total fare collected by Bus?
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (A)

Q42RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
A sum of money is divided among X, Y and Z in the ratio 4:3:6. If the share of Z is ₹3300 more than Y, then how much amount will X get more than Y?
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (A)

How to use these RRB JE Mathematics questions

Every question here was asked in a real RRB JE paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB JE papers as timed tests to check your speed under exam conditions.

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