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RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 4)

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
Q151RRB 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

Q152RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
A number when increased by 50 %', gives 2790. The number is:
  1. A5580
  2. B930
  3. C3720
  4. D1860
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Correct answer: (D) 1860

Q153RRB 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

Q154RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Which of the following is true for a balanced chemical equation?
  1. AThe mass of reactants is always greater than the mass of products.
  2. BThe number of molecules on each side is always equal.
  3. CThe products have more atoms than the reactants.
  4. DThe total number of atoms for each element is the same on both sides of the equation.
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Correct answer: (D) The total number of atoms for each element is the same on both sides of the equation.

Q155RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
This question is based on the five, four-digit numbers given below. (Left) 5479 3126 6785 9254 1630 (Right) (Example: 697 – First digit = 6, second digit = 9 and third digit = 7) NOTE: All the operations to be performed from left to right. What will be the resultant if the fourth digit of the second-greatest number is added to the third digit of the smallest number?
  1. A12
  2. B10
  3. C8
  4. D14
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Correct answer: (C) 8

Q156RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The difference in the age of two people is 24 years. If 6 years ago, the older of the two was four times as old as the younger one, then find their present ages.
  1. A15 and 39 years
  2. B12 and 36 years
  3. C14 and 38 years
  4. D16 and 40 years
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Correct answer: (C) 14 and 38 years

Q157RRB 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

Q158RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Find the value of 8.25 × 6 − 3.14 × 7 + 2.758 of 2.5 − 4.365 × 5.
  1. A12.97
  2. B11.05
  3. C11.82
  4. D12.59
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Correct answer: (D) 12.59

Q159RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
What is the average of all the natural numbers from 1 to 95?
  1. A49
  2. B48
  3. C48.5
  4. D47.5
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Correct answer: (B) 48

Q160RRB 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

Q161RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If x is inversely proportional to y, and y = 6 when x = 7, find the value of x, when y = 64.
  1. A21/32
  2. B23/35
  3. C22/33
  4. D21/33
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Correct answer: (A) 21/32

Q162RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The population of a town in 1927 was 232300. If its population increased in two successive decades by 30% in each decade, the population of the town in 1947 was:
  1. A392583
  2. B392585
  3. C392592
  4. D392587
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Correct answer: (D) 392587

Q163RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the distance between A and B is 1253 Km. From A, Chaman goes to B with speed 93 km/h and return to A with the speed 95 km/h. Find the average speed of Chaman. (rounded off to two decimal place)
  1. A93.99 km/h
  2. B90.46 km/h
  3. C103.98 km/h
  4. D94.47 km/h
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Correct answer: (A) 93.99 km/h

Q164RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The radius of the base of a right circular cone is 21 m and its curved surface area is 1914 m². Find the volume (in m³) of the cone.
  1. A9549
  2. B10250
  3. C9240
  4. D8549
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Correct answer: (C) 9240

Q165RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
A shopkeeper lists the price of a fan at 25% above its cost price and offers a 10% discount on its list price. If he earns a profit of ₹117, then what is the list price (in ₹) of the fan?
  1. A1308
  2. B1170
  3. C1346
  4. D896
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Correct answer: (B) 1170

Q166RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Let O be the incentre of a triangle PQR and S be a point on the side QR such that OS ⊥ QR. If ∠QOS = 15°, then ∠PQR = ?
  1. A65°
  2. B130°
  3. C75°
  4. D150°
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Correct answer: (D) 150°

Q167RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 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.) 12-60-120-130; 14-70-140-150
  1. A13-65-130-120
  2. B15-75-150-140
  3. C16-80-160-170
  4. D11-55-110-130
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Correct answer: (C) 16-80-160-170

Q168RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Shalini travels a distance of 270 km with speed of 54 km/h and 300 km with 30 km/h by her car. Find the average speed (in km/h) of Shalini.
  1. A47
  2. B38
  3. C43
  4. D44
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Correct answer: (B) 38

Q169RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Find the HCF of 84, 126 and 210.
  1. A42
  2. B14
  3. C70
  4. D21
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Correct answer: (A) 42

Q170RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Which of the following statements is true regarding the refractive index?
  1. ARefractive index of glass is less than 1.
  2. BRefractive index of water is always greater than 1.
  3. CRefractive index depends only on the speed of light in vacuum.
  4. DRefractive index of a given medium is independent of the wavelength of the light.
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Correct answer: (B) Refractive index of water is always greater than 1.

Q171RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Simplify the given expression. (sin A + cosec A)² + (cos A − sec A)² + 3
  1. A1+ tan²A + cot²A
  2. Btan²A + cot²A
  3. C3 + tan²A + cot²A
  4. D6 + tan²A + cot²A
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Correct answer: (D) 6 + tan²A + cot²A

Q172RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If the refractive index of water is 1.33, then the speed of light in water is approximately ___________.
  1. A2.26×10⁸ m/s
  2. B1.5×10⁸ m/s
  3. C4×10⁸ m/s
  4. D3×10⁸ m/s
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Correct answer: (A) 2.26×10⁸ m/s

Q173RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
A man sold an article for ₹533 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 ₹1025, then what is the value of d?
  1. A22
  2. B24
  3. C29
  4. D21
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Correct answer: (B) 24

Q174RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
35 men can do a piece of work in 48 days. The number of men required to complete the same work in 21 days is:
  1. A72
  2. B80
  3. C77
  4. D79
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Correct answer: (B) 80

Q175RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Amit purchased 10 kg of rice at the rate of ₹35 per kg and 39 kg of rice at ₹44 per kg. He sold the mixture at the rate of ₹42 per kg. Find his loss (in ₹).
  1. A8
  2. B3
  3. C13
  4. D16
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Correct answer: (A) 8

Q176RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-’, then what will be come in place of the question mark (?) in the following equation? 30 C 48 D 36 B 50 A 20 = ?
  1. A−10
  2. B−12
  3. C−11
  4. D−14
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Correct answer: (B) −12

Q177RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
The sum of the ages of Ram and Ramesh is 48 years. Four years ago the age of Ram was three times the age of Ramesh. What will be the age of Ramesh five years from now?
  1. A14 years
  2. B21 years
  3. C19 years
  4. D18 years
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Correct answer: (C) 19 years

Q178RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
What is the difference between baking powder and baking soda?
  1. ABaking soda is a mixture of baking powder and tartaric acid.
  2. BBaking powder is a mixture of baking soda and tartaric acid.
  3. CBaking powder is a mixture of baking soda and hydrochloric acid.
  4. DBaking soda is a mixture of baking powder and hydrochloric acid.
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Correct answer: (B) Baking powder is a mixture of baking soda and tartaric acid.

Q179RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
A wire of given material having length L and area of cross-section A has a resistance of 4 Ω. The resistance of another wire of the same material having length L/2 will be:
  1. A8 Ω
  2. B4 Ω
  3. C1 Ω
  4. D2 Ω
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Correct answer: (D) 2 Ω

Q180RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Two taps can fill a cistern in 2 hours and 53 hours respectively. A third tap can empty it in 53 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A2
  2. B3
  3. C4
  4. D5
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Correct answer: (A) 2

Q181RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Find the arithmetic mean of the following data (correct to two places of decimals). Class- 5-15 15-25 25-35 35-45 45-55 55-65 interval Frequency 12 18 8 14 16 8
  1. A33.68
  2. B43.72
  3. C22.38
  4. D39.45
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Correct answer: (A) 33.68

Q182RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
A number when increased by 50 %', gives 2760. The number is:
  1. A1840
  2. B3680
  3. C5520
  4. D920
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Correct answer: (A) 1840

Q183RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Two taps can fill a cistern in 2 hours and 45 hours respectively. A third tap can empty it in 45 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A2
  2. B3
  3. C4
  4. D5
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Correct answer: (A) 2

Q184RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The volume (in cm³) of a wire of diameter 56 cm and length 3 m is: (Take π = 22/7)
  1. A739700
  2. B740200
  3. C739400
  4. D739200
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Correct answer: (D) 739200

Q185RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2687531, then how many digits will appear more than once in the new number thus formed?
  1. AFour
  2. BOne
  3. CThree
  4. DTwo
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Correct answer: (D) Two

Q186RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
If 3x / [1 + 1 / (1 + x/(1 − x))] = 12, then find the value of 'x'.
  1. A1.6
  2. B1.8
  3. C1.2
  4. D1.4
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Correct answer: (A) 1.6

Q187RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The median of 7, 18, 22, 12, 14, 7, 23, 16 and 3 is:
  1. A18
  2. B14
  3. C7
  4. D22
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Correct answer: (B) 14

Q188RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Evaluate: 32 ÷ 12 × 3 - 3 × 4
  1. A-4
  2. B-5
  3. C-1
  4. D-2
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Correct answer: (A) -4

Q189RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which of the following describes the relationship between the aperture of a lens and its radius of curvature in the context of thin lenses?
  1. AThe aperture is much smaller than the radius of curvature.
  2. BThe aperture equals the radius of curvature.
  3. CThe aperture is much larger than the radius of curvature.
  4. DThe aperture is independent of the radius of curvature.
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Correct answer: (A) The aperture is much smaller than the radius of curvature.

Q190RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Why are danger signals typically red in colour?
  1. AThe colour red is aesthetically pleasing.
  2. BRed light has a longer wavelength and is scattered the least, making it visible from a distance.
  3. CRed light is easier to produce artificially.
  4. DRed light is more reflective than other colours.
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Correct answer: (B) Red light has a longer wavelength and is scattered the least, making it visible from a distance.

Q191RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
If at same rate of interest, in 2 years, the simple interest is ₹56 and compound interest is ₹64, then what is the principal (in ₹)?
  1. A93
  2. B98
  3. C91
  4. D102
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Correct answer: (B) 98

Q192RRB 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

Q193RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Shalini travels a distance of 138 km with speed of 46 km/h and 438 km with 73 km/h by her car. Find the average speed (in km/h) of Shalini.
  1. A56
  2. B68
  3. C70
  4. D64
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Correct answer: (D) 64

Q194RRB JE CBT-1, 17 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 11 February 2024 to 12 April 2024
  1. A34
  2. B35
  3. C33
  4. D36
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Correct answer: (B) 35

Q195RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The balanced equation which shows the decomposition of hydrogen peroxide is:
  1. A2HO₂ → 2HO + O₂
  2. BH₂O₂ → 2H₂O + O₂
  3. CH₂O₂ → H₂O + O₂
  4. D2H₂O₂ → 2H₂O + O₂
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Correct answer: (D) 2H₂O₂ → 2H₂O + O₂

Q196RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
What is the average of all the natural numbers from 1 to 98?
  1. A49
  2. B50
  3. C50.5
  4. D49.5
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Correct answer: (D) 49.5

Q197RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which of the following statements is true for a balanced chemical equation?
  1. AThe total number of moles is the same on both sides.
  2. BThe total mass of molecules is unequal on both sides.
  3. CThe total number of atoms of each element is the same on both sides.
  4. DThe total number of molecules is the same on both sides.
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Correct answer: (C) The total number of atoms of each element is the same on both sides.

Q198RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which of the following statements is NOT a reason for the versatile nature of carbon?
  1. ACarbon exhibits catenation
  2. BCarbon can form ionic bonds with itself
  3. CCarbon can form single, double, and triple bonds
  4. DCarbon has tetravalency
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Correct answer: (B) Carbon can form ionic bonds with itself

Q199RRB 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

Q200RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
What is the average of all the natural numbers from 1 to 59?
  1. A29.5
  2. B31
  3. C30.5
  4. D30
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Correct answer: (D) 30

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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