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RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 3)

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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Time, Speed & Distance 52Number System 52Percentage 52Profit & Loss 51Mensuration 51Ratio & Proportion 42Algebra 37Statistics 37Simple & Compound Interest 36Time & Work 30Simplification 29Average 29Geometry 11Problems on Ages 9
Q101RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The centres of two circles with radii 28 cm and 20 cm are 50 cm apart. What is the length (in cm) of the transverse common tangent?
  1. A16
  2. B15
  3. C13
  4. D14
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Correct answer: (D) 14

Q102RRB 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

Q103RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Study the given diagram carefully and answer the questions. The numbers in different sections indicate the number of persons. How many persons are both poor and uneducated but not famous ? (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)
  1. A8
  2. B5
  3. C12
  4. D30
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Correct answer: (B) 5

Q104RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
Find the simple interest (in closest integral ₹) on ₹4000 at 5.25% per annum rate of interest for the period from 14 February 2024 to 15 April 2024
  1. A33
  2. B36
  3. C34
  4. D35
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Correct answer: (D) 35

Q105RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The cost of a washing machine is 25% less than the cost of a TV. If the cost of the washing machine increases by 82% and that of the TV decreases by 16%, then what is the change in the total cost of 8 washing machines and 9 TVs?
  1. AIncrease by 23.2%
  2. BIncrease by 20%
  3. CDecrease by 24%
  4. DDecrease by 21%
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Correct answer: (A) Increase by 23.2%

Q106RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Find the value of 1.356 + 4.25 × 8 − 3.562 × 6 + 7.5 × 4.
  1. A41.625
  2. B42.237
  3. C43.012
  4. D43.984
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Correct answer: (D) 43.984

Q107RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the mean of the following distribution? Marks: 13, 23, 51, 61, 96 No. of Students: 51, 34, 62, 87, 17
  1. A46
  2. B72
  3. C37
  4. D34
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Correct answer: (A) 46

Q108RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A trader lost 10% by selling a shirt for ₹840. He will gain x%' by selling it for ₹1540, the value of x is:
  1. A75
  2. B55
  3. C80
  4. D65
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Correct answer: (D) 65

Q109RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Anamika travels a distance of 183 km with speed of 61 km/h and 225 km with 45 km/h by her car. Find the average speed (in km/h) of Anamika.
  1. A54
  2. B59
  3. C51
  4. D56
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Correct answer: (C) 51

Q110RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A and B can do a piece of work in 4 days and 46 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. A6.9
  2. B5.5
  3. C3.6
  4. D6.8
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Correct answer: (C) 3.6

Q111RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Which team clinched the Irani Cup title for the season 2024-25?
  1. AMumbai
  2. BRailways
  3. CKarnataka
  4. DRest of India
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Correct answer: (A) Mumbai

Q112RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The angle of elevation of a tower from a point which is at a distance of 44 m from its foot is 60°. Find the height of the tower. (use √3 = 1.73)
  1. A76.12 m
  2. B48 m
  3. C68 m
  4. D56.37 m
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Correct answer: (A) 76.12 m

Q113RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The average age of 40 boys in a class is 18 years. One boy, aged 26 years left the class, and two new boys joined the class. If the average age of all boys now in the class remains 18 years, then find the average age of the two newcomers.
  1. A21 years
  2. B20 years
  3. C22 years
  4. D24 years
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Correct answer: (C) 22 years

Q114RRB JE CBT-1, 17 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? 11 + 37 − 5 × 40 ÷ 24 = ?
  1. A−22
  2. B−25
  3. C−21
  4. D−23
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Correct answer: (D) −23

Q115RRB JE CBT-1, 17 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.) 6-18-72-102; 8-20-80-110
  1. A9-21-84-94
  2. B4-16-64-84
  3. C7-19-76-106
  4. D11-22-88-116
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Correct answer: (C) 7-19-76-106

Q116RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
In which year was 'Heirloom Treasures: The Cultural Tapestry of India: A Compilation of Selected Articles from India Beckons: Volume 1,' by Arunima Hoskote, published?
  1. A2019
  2. B2021
  3. C2018
  4. D2020
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Correct answer: (D) 2020

Q117RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Evaluate: 32 ÷ 12 × 3 - 2 × 4
  1. A0
  2. B3
  3. C-1
  4. D2
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Correct answer: (A) 0

Q118RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Yeast reproduces through which asexual mode of reproduction?
  1. ABudding
  2. BVegetative propagation
  3. CFusion
  4. DFission
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Correct answer: (A) Budding

Q119RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Which of the following steps is the first step in balancing a chemical equation?
  1. ABalancing oxygen atoms
  2. BAdding coefficients randomly
  3. CBalancing hydrogen atoms
  4. DWriting the skeleton equation
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Correct answer: (D) Writing the skeleton equation

Q120RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the median of the following data? 17, 54, 51, 64, 13, 39, 23, 40, 78, 66, 96
  1. A52
  2. B51.5
  3. C50.5
  4. D51
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Correct answer: (D) 51

Q121RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the angle formed between two lateral faces of a triangular glass prism called?
  1. AAngle of refraction
  2. BAngle of incidence
  3. CAngle of the prism
  4. DAngle of deviation
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Correct answer: (C) Angle of the prism

Q122RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Among five people named A, B, C, D and E, each has a certain age. C is twice the age of A. A is three times the age of D. D is one fifth the age of B. The age of B is 45. If E is equal the age of C, what is the age of E?
  1. A52
  2. B58
  3. C54
  4. D56
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Correct answer: (C) 54

Q123RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
If x is inversely proportional to y, and y = 5 when x = 2, find the value of x, when y = 41.
  1. A11/42
  2. B10/41
  3. C10/42
  4. D12/44
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Correct answer: (B) 10/41

Q124RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
If two parallel lines are cut by a transversal, and one pair of the corresponding angles formed are (x + 30)° and (2x − 10)°, then find the value of x.
  1. A30
  2. B45
  3. C35
  4. D40
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Correct answer: (D) 40

Q125RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Find the simple interest (in closest integral ₹) on ₹4000 at 5.25% per annum rate of interest for the period from 3 February 2024 to 4 April 2024
  1. A33
  2. B35
  3. C34
  4. D36
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Correct answer: (B) 35

Q126RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The population of a town in 1974 was 222900. If its population increased in two successive decades by 50% in each decade, the population of the town in 1994 was:
  1. A501525
  2. B501521
  3. C501520
  4. D501526
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Correct answer: (A) 501525

Q127RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
In a convex mirror, the principal focus is located _____.
  1. Aat the pole of the mirror
  2. Bbehind the mirror
  3. Cat the centre of curvature
  4. Din front of the mirror
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Correct answer: (B) behind the mirror

Q128RRB 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

Q129RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A man sold an article for ₹687 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 ₹1145, then what is the value of d?
  1. A19
  2. B16
  3. C20
  4. D23
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Correct answer: (C) 20

Q130RRB JE CBT-1, 17 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? 17 + 9 − 3 × 3 ÷ 7 = ?
  1. A47
  2. B43
  3. C49
  4. D40
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Correct answer: (A) 47

Q131RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A trader claims to sell rice at a profit of 74%, but also dishonestly uses a weight which is 9% 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. A87%
  2. B91%
  3. C89%
  4. D94%
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Correct answer: (B) 91%

Q132RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Pooja and Ritu invest in a business in the ratio 4 : 1. If total profit is Rs. 1480, then what is difference between the profit (in Rs.) of Pooja and Ritu?
  1. A788
  2. B988
  3. C888
  4. D938
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Correct answer: (C) 888

Q133RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer. Question: Five boxes, V, W, X, Y and Z, have different weights. Which box among them is the second heaviest? Statements: (I) Y is heavier than W. Only three boxes are lighter than Z. (II) X is heavier than W. X is heavier than V.
  1. AData in statement II alone is sufficient to answer the question while data in statement I is not.
  2. BData in statements I and II together are sufficient to answer the question.
  3. CData in statement I alone is sufficient to answer the question while data in statement II is not.
  4. DData in statements I and II together are not sufficient to answer the question.
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Correct answer: (C) Data in statement I alone is sufficient to answer the question while data in statement II is not.

Q134RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
A number when increased by 50 %', gives 3120. The number is:
  1. A1040
  2. B6240
  3. C2080
  4. D4160
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Correct answer: (C) 2080

Q135RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Find the cost (in ₹) of digging a cuboidal pit 9 m long, 5 m broad and 4 m deep at the rate of ₹20 per m³.
  1. A3,900
  2. B3,800
  3. C3,700
  4. D3,600
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Correct answer: (D) 3,600

Q136RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
The LCM of two numbers is seven times of their HCF. If the product of two numbers is 448, then find the difference between LCM and HCF.
  1. A48
  2. B54
  3. C42
  4. D30
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Correct answer: (A) 48

Q137RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
At which of the following points does each firm employ labour?
  1. AEach firm employs labour up to the point where the marginal revenue product of labour multiplies the wage rate.
  2. BEach firm employs labour up to the point where the marginal cost of labour equals the wage rate.
  3. CEach firm employs labour up to the point where the marginal revenue product of labour minus the wage rate.
  4. DEach firm employs labour up to the point where the marginal revenue product of labour equals the wage rate.
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Correct answer: (D) Each firm employs labour up to the point where the marginal revenue product of labour equals the wage rate.

Q138RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the difference between the hypotenuse and the base of an isosceles right triangle that has an area of 392 m² (use √2 = 1.4)?
  1. A11.9 m
  2. B10.9 m
  3. C11.2 m
  4. D12.4 m
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Correct answer: (C) 11.2 m

Q139RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
If the distance between A and B is 1089 Km. From A, Vishal goes to B with speed 104 km/h and return to A with the speed 125 km/h. Find the average speed of Vishal. (rounded off to two decimal place)
  1. A111.79 km/h
  2. B113.54 km/h
  3. C117.44 km/h
  4. D120.89 km/h
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Correct answer: (B) 113.54 km/h

Q140RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
How can you experimentally determine the focal length of a concave mirror?
  1. AMeasure the angle of reflection.
  2. BMeasure the diameter of the mirror.
  3. CMeasure the distance between the mirror and the image of a distant object formed by it.
  4. DMeasure the distance between the pole and the centre of curvature.
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Correct answer: (C) Measure the distance between the mirror and the image of a distant object formed by it.

Q141RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the average of all the natural numbers from 1 to 97?
  1. A48.5
  2. B49
  3. C50
  4. D49.5
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Correct answer: (B) 49

Q142RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Suman invested a sum of ₹3500 at 20% per annum compound interest, componded annually. If she received an amount of ₹6048 after n years, the value of n is:
  1. A3
  2. B2.6
  3. C4
  4. D2
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Correct answer: (A) 3

Q143RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
Two taps can fill a cistern in 2 hours and 46 hours respectively. A third tap can empty it in 46 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A2
  2. B4
  3. C3
  4. D5
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Correct answer: (A) 2

Q144RRB JE CBT-1, 17 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 5 February 2024 to 6 April 2024
  1. A33
  2. B34
  3. C36
  4. D35
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Correct answer: (D) 35

Q145RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
A six-digit number is divisible by 91. If 143 is added to this number, the resulting number is divisible by which of the following number?
  1. A13
  2. B7
  3. C11
  4. D91
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Correct answer: (A) 13

Q146RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If '×' means 'addition', '+' means 'subtraction', '−' means 'division' and '÷' means 'multiplication', then what will come in place of the question mark (?) in the following equation? 14 + 1 ÷ 7 × 32 − 8 = ?
  1. A12
  2. B11
  3. C14
  4. D13
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Correct answer: (B) 11

Q147RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The average of four consecutive odd numbers is 36. What is the greatest of these numbers?
  1. A37
  2. B39
  3. C43
  4. D41
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Correct answer: (B) 39

Q148RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
What is the sum of the numbers between 250 and 450, such that when it is divided by 8, 12 and 18, it leaves no remainder?
  1. A1080
  2. B1152
  3. C936
  4. D1008
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Correct answer: (A) 1080

Q149RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the mean of the following data is 40, then the value of X is: xᵢ: 10, 25, 70, 85 fᵢ: 21, X, 22, 35
  1. A112
  2. B107
  3. C120
  4. D134
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Correct answer: (B) 107

Q150RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the interest earned during the 2nd year on a certain sum is ₹3726, and the rate of interest is 15% per annum compounded annually, then the sum is:
  1. A₹21600
  2. B₹20885
  3. C₹21185
  4. D₹20835
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Correct answer: (A) ₹21600

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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