RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 2)

561 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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Q51RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The age of some students is given in years as 22, 23, 26, 28, 24, 29, 23, 27, 25 and 21. The median age (in years) of the students is:
  1. A24.5
  2. B23.5
  3. C24
  4. D25
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Correct answer: (A) 24.5

Q52RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
What are the units of inheritance, which Mendel referred to as 'factors,' now called?
  1. ATraits
  2. BDNA
  3. CChromosomes
  4. DGenes
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Correct answer: (D) Genes

Q53RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Find the simple interest (in closest integral ₹) on ₹4000 at 5.25% per annum rate of interest for the period from 4 February 2024 to 5 April 2024
  1. A36
  2. B34
  3. C35
  4. D33
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Correct answer: (C) 35

Q54RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The current ages of A and B add up to 36 years. Four years ago, the age of A was three times than that of B. What is the current age of A?
  1. A25 years
  2. B20 years
  3. C30 years
  4. D35 years
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Correct answer: (A) 25 years

Q55RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A shopkeeper bought an article for ₹740. At what price (in ₹) should he sell the article to make 30% profit?
  1. A950
  2. B962
  3. C518
  4. D974
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Correct answer: (B) 962

Q56RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Which law of refraction states that light bends due to a change in speed when passing from one medium to another?
  1. AHuygens' principle
  2. BLaw of reflection
  3. CFermat’s principle
  4. DSnell's law
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Correct answer: (D) Snell's law

Q57RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Which major Indian port has become the first to operate under a Public-Private Partnership (PPP) model?
  1. AParadip Port
  2. BNew Mangaluru Port
  3. CMundra Port
  4. DJawaharlal Nehru Port
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Correct answer: (D) Jawaharlal Nehru Port

Q58RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If a 3210 m long train crosses a pole in 107 seconds, then find the time (in seconds) taken by the train to cross a 150 m long platform.
  1. A106
  2. B114
  3. C110
  4. D112
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Correct answer: (D) 112

Q59RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A trader claims to sell flour at a profit of 35%, but also dishonestly uses a weight which is 16% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round the answer to the nearest whole number.)
  1. A56%
  2. B63%
  3. C60%
  4. D61%
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Correct answer: (D) 61%

Q60RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Solve the following linear equation. 2x − y + z = 8, x + y − z = 10, x + y + 2z = 12
  1. Ax = −1/3, y = 6, z = 14/3
  2. Bx = −6, y = −14/3, z = 1/3
  3. Cx = 2/3, y = −6, z = 14/3
  4. Dx = 6, y = 14/3, z = 2/3
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Correct answer: (D) x = 6, y = 14/3, z = 2/3

Q61RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 7381564, how many digits will appear more than once in the new number thus formed?
  1. AThree
  2. BOne
  3. CNone
  4. DTwo
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Correct answer: (A) Three

Q62RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Which two numbers should be interchanged to make the following equation correct? 58 + (36× 4)÷ 3 + 6× 8 −12 = 86 (Note: Interchange should be done of the entire number and not individual digits of a given number.)
  1. A12 and 8
  2. B36 and 12
  3. C3 and 6
  4. D4 and 3
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Correct answer: (B) 36 and 12

Q63RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A number when increased by 50 %', gives 2880. The number is:
  1. A3840
  2. B1920
  3. C5760
  4. D960
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Correct answer: (B) 1920

Q64RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If at same rate of interest, in 2 years, the simple interest is ₹56 and compound interest is ₹58, then what is the principal (in ₹)?
  1. A392
  2. B385
  3. C396
  4. D387
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Correct answer: (A) 392

Q65RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
G, H, I, J, K, L and M live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 7. H lives on an even numbered floor but not on the second floor. Only three people live between H and M. J lives on one of the floors below H but immediately above M. G lives on one of floors below J. Only three people live between G and K. L lives on one of the floors above J but below I. Who lives on the fifth floor?
  1. AL
  2. BH
  3. CK
  4. DM
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Correct answer: (C) K

Q66RRB 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

Q67RRB 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

Q68RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If the average of 9 numbers is 17 and one number is removed, the average of the remaining 8 numbers becomes 15. What is the value of the removed number?
  1. A39
  2. B33
  3. C37
  4. D35
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Correct answer: (B) 33

Q69RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Why is asexual reproduction advantageous for single-celled organisms?
  1. AIt requires a mate.
  2. BIt increases genetic variability.
  3. CIt allows rapid reproduction in favourable conditions.
  4. DIt prevents overcrowding.
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Correct answer: (C) It allows rapid reproduction in favourable conditions.

Q70RRB 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

Q71RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The magnetic field inside a solenoid:
  1. Ais the same at all points
  2. Bis zero at the centre
  3. Cvaries with distance from the edge
  4. Dis maximum at the centre and minimum at the edge
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Correct answer: (A) is the same at all points

Q72RRB 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

Q73RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The total surface area of a solid hemisphere is 191 cm². Its radius (in cm) is: (Take π = 22/7)
  1. A√(1347/66)
  2. B√(1347/132)
  3. C√(1337/66)
  4. D√(1345/66)
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Correct answer: (C) √(1337/66)

Q74RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 34 ÷ 33 × 22 + 19 − 40 = ?
  1. A74
  2. B72
  3. C73
  4. D70
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Correct answer: (B) 72

Q75RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 19-57-114-134; 21-63-126-146
  1. A18-54-108-118
  2. B17-51-102-112
  3. C20-60-120-180
  4. D16-48-96-116
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Correct answer: (D) 16-48-96-116

Q76RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
What is the median of the following data? 78, 33, 59, 56, 61, 36, 48, 42, 97, 57, 62
  1. A56.5
  2. B58
  3. C57
  4. D57.5
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Correct answer: (C) 57

Q77RRB 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

Q78RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The curved surface area of a cone is 5544 cm², and the diameter is 168 cm. What is its total surface area (in cm²)? (Use π = 22/7)
  1. A27,270
  2. B27,720
  3. C25,530
  4. D23,550
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Correct answer: (B) 27,720

Q79RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
With which of the following pricing approaches is a product's price equal to its marginal cost?
  1. AMark-up pricing
  2. BFactor pricing
  3. CMarginal cost pricing
  4. DPrice discrimination
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Correct answer: (C) Marginal cost pricing

Q80RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A trader lost 10% by selling a shirt for ₹850. He will gain x%' by selling it for ₹1360, the value of x is:
  1. A44
  2. B54
  3. C59
  4. D34
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Correct answer: (A) 44

Q81RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 8436152, then what will be the difference between the last and the first digits from the left in the number thus formed?
  1. A4
  2. B3
  3. C6
  4. D5
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Correct answer: (C) 6

Q82RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
By selling an article at 5/14 of its actual selling price, Hitesh incurs a loss of 20%. If he sells it at 80% of its actual selling price, then the profit percentage is:
  1. A81.2%
  2. B80.7%
  3. C81.9%
  4. D79.2%
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Correct answer: (D) 79.2%

Q83RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Evaluate: 33 ÷ 9 × 3 - 2 × 4
  1. A3
  2. B6
  3. C2
  4. D5
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Correct answer: (A) 3

Q84RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Himani travels a distance of 352 km with speed of 32 km/h and 330 km with 30 km/h by her car. Find the average speed (in km/h) of Himani.
  1. A31
  2. B39
  3. C21
  4. D26
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Correct answer: (A) 31

Q85RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Sakshi invested a sum of ₹8900 at 10% per annum compound interest, componded annually. If she received an amount of ₹10769 after n years, the value of n is:
  1. A2
  2. B2.4
  3. C1.60000002384186
  4. D3
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Correct answer: (A) 2

Q86RRB 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

Q87RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A copper wire has a resistance of 10 Ω. If it is replaced with a wire of the same material and length but twice the cross-sectional area, its resistance will be ______.
  1. A20 Ω
  2. B10 Ω
  3. C5 Ω
  4. D2.5 Ω
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Correct answer: (C) 5 Ω

Q88RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
What is the smallest 4-digit number which, when divided by 12, 16, and 20, gives a remainder of 9?
  1. A1209
  2. B1217
  3. C1017
  4. D1049
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Correct answer: (A) 1209

Q89RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A man walks to a viewpoint and returns to the starting point by his car maintaining constant speed and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A8 hours 30 minutes
  2. B9 hours 15 minutes
  3. C7 hours 45 minutes
  4. D8 hours 45 minutes
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Correct answer: (D) 8 hours 45 minutes

Q90RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A and B complete a work in 18 days. If A alone can do it in 54 days then, B alone can do in______________(days).
  1. A29
  2. B27
  3. C26
  4. D28
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Correct answer: (B) 27

Q91RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If A = 7.5°, what is the value of (12.8 × (1/√3) cot4A + 7.2 tan6A)?
  1. A12
  2. B8
  3. C20
  4. D10
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Correct answer: (C) 20

Q92RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The average marks of some students in a class is 75. When five students are included, the average becomes 78 and the marks of those five students are 80, 85, 89, 81 and 82. Find the total number of students.
  1. A6
  2. B9
  3. C8
  4. D10
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Correct answer: (B) 9

Q93RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A number when increased by 50 %, gives 2850. The number is:
  1. A950
  2. B3800
  3. C5700
  4. D1900
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Correct answer: (D) 1900

Q94RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A shopkeeper sells an item for ₹770.7 after giving two successive discounts of 58% and 80% on its marked price. Had he not given any discount, he would have earned a profit of 25%. What is the cost price (in ₹) of the item?
  1. A7322
  2. B7353
  3. C7315
  4. D7340
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Correct answer: (D) 7340

Q95RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
This question is based on the five, three-digit numbers given below. (Left) 473 987 324 529 648 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE: All the operations to be performed from left to right. The position of how many numbers will remain unchanged if all these numbers are arranged in ascending order?
  1. ANone
  2. BOne
  3. CThree
  4. DTwo
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Correct answer: (A) None

Q96RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The author of the famous novel 'Midnight's Children' is:
  1. ASalman Rushdie
  2. BKhushwant Singh
  3. CShashi Tharoor
  4. DRuskin Bond
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Correct answer: (A) Salman Rushdie

Q97RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If the mean of the following data is 61, then the value of X is: xᵢ: 55, 60, 70, 95 fᵢ: 48, X, 31, 23
  1. A799
  2. B773
  3. C790
  4. D796
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Correct answer: (B) 773

Q98RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The sum of 8 numbers is 336. Find their average number.
  1. A42
  2. B40
  3. C41
  4. D43
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Correct answer: (A) 42

Q99RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Two pipes can fill a tank in 34 hours and 94 hours, respectively. The time (in hours) required to fill the tank when both pipes are opened simultaneously is:
  1. A796/30
  2. B797/29
  3. C799/32
  4. D798/31
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Correct answer: (C) 799/32

Q100RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
If the mean proportional of P and 100 is 50, then find the value of P.
  1. A25
  2. B28
  3. C22
  4. D24
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Correct answer: (A) 25

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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