RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 5)

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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Q201RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Among five people named A, B, C, D and E, each has a certain age. C is thrice the age of D. The age of A is 6. D is half the age of E. B is twice the age of A. If E is four times the age of B, what is the age of C?
  1. A70
  2. B75
  3. C76
  4. D72
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Correct answer: (D) 72

Q202RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
A man sold an article for ₹330 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹1320, then what is the value of d?
  1. A38.4
  2. B41.1
  3. C36.9
  4. D37.5
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Correct answer: (D) 37.5

Q203RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Five bells toll together initially and then continue to toll at time intervals of 4, 8, 12, 16 and 20 seconds respectively. If they start tolling simultaneously at 12:00 p.m., then find how many times they will toll together between 12:00 p.m. to 3:00 p.m.
  1. A62
  2. B54
  3. C42
  4. D46
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Correct answer: (D) 46

Q204RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
This question is based on five, four-digit numbers given below. (Example- 6970 – First digit = 6, second digit = 9, third digit = 7 and fourth digit=0) 2314 7651 3245 9072 8062 How many numbers are there wherein the sum of first and second digits is equal to the sum of third and fourth digits?
  1. AThree
  2. BFour
  3. COne
  4. DTwo
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Correct answer: (A) Three

Q205RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The National Health Authority (NHA) and _________ signed a Memorandum of Understanding (MoU) on 11th September. The partnership aims to revolutionise artificial intelligence in health research with an innovative data platform.
  1. AIIT Madras
  2. BIIT Delhi
  3. CIIT Kharagpur
  4. DIIT Kanpur
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Correct answer: (D) IIT Kanpur

Q206RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The average score of a cricketer in 20 matches is 40 runs. If his highest score in a match was 78 runs, what is the average of his scores in the remaining 19 matches?
  1. A34
  2. B36
  3. C40
  4. D38
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Correct answer: (D) 38

Q207RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Evaluate: 16 + 16 ÷ 4 - 3 × 4
  1. A8
  2. B10
  3. C11
  4. D7
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Correct answer: (A) 8

Q208RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
A and B can do a piece of work in 8 days and 37 days, respectively. The number of days [Correct to one decimal place] required to complete the work if both A and B work together is:
  1. A7.7
  2. B10.7
  3. C7.1
  4. D6.5
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Correct answer: (D) 6.5

Q209RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
If the area of a trapezium is 80 cm² and the parallel sides are 13.5 and 6.5 cm, then the distance between them (in cm) is ______.
  1. A8
  2. B9
  3. C12
  4. D10
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Correct answer: (A) 8

Q210RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Mahesh purchased 10 kg of rice at the rate of ₹35 per kg and 38 kg of rice at ₹46 per kg. He sold the mixture at the rate of ₹43.5 per kg. Find his loss (in ₹).
  1. A10
  2. B5
  3. C18
  4. D15
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Correct answer: (A) 10

Q211RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which combination of factors would result in the lowest resistance for a conductor?
  1. AShort length and small cross-sectional area
  2. BShort length and large cross-sectional area
  3. CLong length and small cross-sectional area
  4. DLong length and large cross-sectional area
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Correct answer: (B) Short length and large cross-sectional area

Q212RRB JE CBT-1, 17 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 3 hours 15 minutes. He would have gained 3 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A6 hours 15 minutes
  2. B5 hours 15 minutes
  3. C6 hours 45 minutes
  4. D7 hours 30 minutes
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Correct answer: (A) 6 hours 15 minutes

Q213RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
An object is placed 12 cm in front of a convex mirror with a focal length of 8 cm. What is the image distance (v)?
  1. A+20 cm
  2. B+4.8 cm
  3. C−20 cm
  4. D−4.8 cm
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Correct answer: (B) +4.8 cm

Q214RRB JE CBT-1, 17 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.) 8-24-72-216; 6-18-54-162
  1. A12-36-108-216
  2. B7-21-63-189
  3. C11-33-99-287
  4. D9-27-81-343
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Correct answer: (B) 7-21-63-189

Q215RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
A man spends 76% of his monthly salary (in ₹) on the rent of his house. If every month he also spends ₹813 on his conveyance and ₹2508 on his grocery and saves the remaining ₹687, his monthly salary (in ₹) is:
  1. A16700
  2. B16611
  3. C16621
  4. D16617
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Correct answer: (A) 16700

Q216RRB JE CBT-1, 17 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? 26 + 43 − 32 × 23 ÷ 46 = ?
  1. A47
  2. B49
  3. C48
  4. D45
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Correct answer: (A) 47

Q217RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The diameters of two concentric circles are 34 cm and 50 cm. A straight line, CAPF, intersects the larger circle at points C and F and intersects the smaller circle at points A and P. If AP = 16 cm, find the length of CF.
  1. A34 cm
  2. B50 cm
  3. C30 cm
  4. D40 cm
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Correct answer: (D) 40 cm

Q218RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The selling price of 30 books is equal to the cost price of 45 books. Find the loss or gain percentage.
  1. A50 % gain
  2. B100/15 % gain
  3. C50 % loss
  4. D100/15 % loss
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Correct answer: (A) 50 % gain

Q219RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If at same rate of interest, in 2 years, the simple interest is ₹56 and compound interest is ₹72, then what is the principal (in ₹)?
  1. A53
  2. B42
  3. C49
  4. D44
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Correct answer: (C) 49

Q220RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4835176, what will be the sum of the digits which are second from the left and second from the right?
  1. A10
  2. B12
  3. C11
  4. D14
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Correct answer: (D) 14

Q221RRB 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

Q222RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The average age of Mohan and his four friends is 36 years. Mohan is 5 years older than the average age of his four friends. Determine Mohan’s age in years.
  1. A42
  2. B40
  3. C44
  4. D38
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Correct answer: (B) 40

Q223RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Two taps can fill a cistern in 2 hours and 47 hours respectively. A third tap can empty it in 47 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A5
  2. B4
  3. C3
  4. D2
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Correct answer: (D) 2

Q224RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If 'M' is the smallest perfect square number, which is exactly divisible by 12, 15 and 18, then find the sum of the digits of the quotient obtained, when M is divided by 25.
  1. A8
  2. B9
  3. C7
  4. D6
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Correct answer: (B) 9

Q225RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
What is the perimeter of a sector of a circle (in cm) if the radius of the circle is 10.5 cm and the angle subtended at the centre of the circle is 60°? (Use π = 22/7)
  1. A32
  2. B43
  3. C41
  4. D37
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Correct answer: (A) 32

Q226RRB 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

Q227RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If A's salary is 37 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?
  1. A29.04%
  2. B30.86%
  3. C29.85%
  4. D27.01%
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Correct answer: (D) 27.01%

Q228RRB 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°

Q229RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Find the simple interest (in closest integral ₹) on ₹3000 at 8% per annum rate of interest for the period from 25 February 2024 to 26 April 2024
  1. A41
  2. B39
  3. C38
  4. D40
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Correct answer: (D) 40

Q230RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
What is the median of the following data? 50, 48, 40, 73, 29, 14, 89, 14, 51, 76, 78
  1. A50.5
  2. B51
  3. C49.5
  4. D50
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Correct answer: (D) 50

Q231RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
A number when increased by 50 %', gives 2910. The number is:
  1. A5820
  2. B1940
  3. C3880
  4. D970
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Correct answer: (B) 1940

Q232RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
A cylindrical rod has an outer curved surface area of 4500 cm². If the length of the rod is 39 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is: (Take π = 22/7)
  1. A18.36
  2. B20.93
  3. C20.48
  4. D18.25
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Correct answer: (A) 18.36

Q233RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
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.) 6-36-46-92; 7-49-59-118
  1. A5-25-35-70
  2. B4-16-26-62
  3. C3-9-29-58
  4. D8-64-74-138
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Correct answer: (A) 5-25-35-70

Q234RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The selling price of 25 books is equal to the cost price of 41 books. Find the loss or gain percentage.
  1. A100/16 % gain
  2. B64 % gain
  3. C100/16 % loss
  4. D64 % loss
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Correct answer: (B) 64 % gain

Q235RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The mean marks of the following distribution is: Marks Obtained: 83, 73, 20, 82 No. of Students: 9, 5, 18, 16
  1. A57
  2. B78
  3. C50
  4. D58
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Correct answer: (D) 58

Q236RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The current through a resistor is:
  1. Aproportional to the square of the resistance
  2. Binversely proportional to the resistance
  3. Cproportional to the square root of the resistance
  4. Ddirectly proportional to the resistance
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Correct answer: (B) inversely proportional to the resistance

Q237RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘−' are interchanged and ‘÷’ and ‘×’ are interchanged? 51 − 8 ÷ 2 + 6 × 2 = ?
  1. A71
  2. B66
  3. C64
  4. D70
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Correct answer: (C) 64

Q238RRB 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

Q239RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Two pipes can fill a tank in 20 hours and 90 hours, respectively. The time (in hours) required to fill the tank when both pipes are opened simultaneously is:
  1. A179/9
  2. B183/8
  3. C177/13
  4. D180/11
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Correct answer: (D) 180/11

Q240RRB 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

Q241RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If x is inversely proportional to y, and y = 7 when x = 5, find the value of x, when y = 90.
  1. A7/18
  2. B7/19
  3. C9/21
  4. D8/19
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Correct answer: (A) 7/18

Q242RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Akshat completes his journey in 10 hours. He covers half the distance at 72 km/h and the rest at 36 km/h. What is the length of the journey (in Km)?
  1. A481
  2. B480
  3. C473
  4. D471
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Correct answer: (B) 480

Q243RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Refer to the given number, symbol series and answer the question that follows. Counting to be done from left to right only. (Left) 2 3 $ 7 5 & 6 % 3 $ # 9 @ ) 7 + 6 ? > ? 4 7 5 $ (Right) How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by another symbol?
  1. A4
  2. B5
  3. C6
  4. D7
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Correct answer: (B) 5

Q244RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Which of the following is NOT a private sector company in India?
  1. ATata Iron and Steel Company
  2. BBajaj Auto Limited
  3. CBharat Heavy Electricals Limited
  4. DDabur
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Correct answer: (C) Bharat Heavy Electricals Limited

Q245RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
A shopkeeper sells an item for ₹287.7 after giving two successive discounts of 86% and 85% on its marked price. Had he not given any discount, he would have earned a profit of 37%. What is the cost price (in ₹) of the item?
  1. A10000
  2. B10038
  3. C9958
  4. D10046
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Correct answer: (A) 10000

Q246RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
In plants, spore formation is a mode of reproduction that involves the production of spores. Which of the following statements about spore formation is true?
  1. ASpores are a form of vegetative propagation in angiosperms only.
  2. BSpores are formed through sexual reproduction in plants.
  3. CSpores are produced by flowers, and they grow into seeds.
  4. DSpores are produced by non-flowering plants like ferns and mosses, and they grow into new plants.
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Correct answer: (D) Spores are produced by non-flowering plants like ferns and mosses, and they grow into new plants.

Q247RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of persons/objects.
How many such officers exist that are also scientists but not professors?
  1. A12
  2. B16
  3. C4
  4. D5
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Correct answer: (D) 5

Q248RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Find the value of 2.5 × 4 + 3.68 ÷ 4 − 8.46 × 2 + 7.365 × 4 + 2.8 × 3 − 1.675 × 2.
  1. A27.98
  2. B28.96
  3. C28.51
  4. D27.21
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Correct answer: (C) 28.51

Q249RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
Who among the following is the leader of the house in the Lok Sabha?
  1. ALok Sabha Speaker
  2. BOpposition Leader
  3. CPresident of India
  4. DPrime Minister
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Correct answer: (D) Prime Minister

Q250RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
A vendor bought lemons at 40 for a rupee. How many must he sell for a rupee to gain 25%?
  1. A34
  2. B36
  3. C33
  4. D32
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Correct answer: (D) 32

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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