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RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 7)

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
Q301RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
What is the average of all the natural numbers from 1 to 92?
  1. A47
  2. B46
  3. C46.5
  4. D47.5
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Correct answer: (C) 46.5

Q302RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Which of the following is a method of reproduction in plants, where only a single parent is involved?
  1. APollination
  2. BAsexual reproduction
  3. CFertilisation
  4. DSexual reproduction
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Correct answer: (B) Asexual reproduction

Q303RRB JE CBT-1, 16 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 12 February 2024 to 13 April 2024
  1. A36
  2. B35
  3. C34
  4. D33
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Correct answer: (B) 35

Q304RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
What is the average of all the natural numbers from 1 to 91?
  1. A46.5
  2. B46
  3. C45.5
  4. D47
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Correct answer: (B) 46

Q305RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
What property of carbon allows it to form long chains and rings?
  1. AAbility to form covalent bonds
  2. BAbility to form stable bonds with other elements
  3. CAbility to form multiple bonds
  4. DTendency to form single bonds
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Correct answer: (C) Ability to form multiple bonds

Q306RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Akshat completes his journey in 20 hours. He covers half the distance at 57 km/h and the rest at 95 km/h. What is the length of the journey (in Km)?
  1. A1435
  2. B1423
  3. C1416
  4. D1425
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Correct answer: (D) 1425

Q307RRB 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.

Q308RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
What is the pH range of a strongly acidic solution?
  1. A7-8
  2. B0-3
  3. C12-14
  4. D10-11
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Correct answer: (B) 0-3

Q309RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation? 93 D 7 B 5 C (69 A 3) C 26 = ?
  1. A75
  2. B122
  3. C93
  4. D107
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Correct answer: (D) 107

Q310RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of persons. How many such policemen exist that are also Indians and footballers?
  1. A5
  2. B2
  3. C12
  4. D3
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Correct answer: (B) 2

Q311RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Two taps can fill a cistern in 2 hours and 54 hours respectively. A third tap can empty it in 54 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A3
  2. B5
  3. C2
  4. D4
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Correct answer: (C) 2

Q312RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
A shopkeeper lists the price of a fan at 20% above its cost price and offers a 10% discount on its list price. If he earns a profit of ₹150, then what is the list price (in ₹) of the fan?
  1. A2054
  2. B1969
  3. C2250
  4. D2172
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Correct answer: (C) 2250

Q313RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
The marks scored by 10 students are given below. 17, 16, 12, 16, 15, 16, 13, 14, 13, 20 The mode of the data is:
  1. A16
  2. B18
  3. C12
  4. D17
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Correct answer: (A) 16

Q314RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
There are total 120 students in three sections A, B and C of Class 10. The average marks of the three sections is 85. The average marks of section B and C is 88 and the average marks of section A is 78. Find the number of students in section A.
  1. A36
  2. B28
  3. C33
  4. D24
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Correct answer: (A) 36

Q315RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
The cost of a washing machine is 75% less than the cost of a TV. If the cost of the washing machine increases by 77% and that of the TV decreases by 27%, then what is the change in the total cost of 8 washing machines and 2 TVs?
  1. AIncrease by 31%
  2. BIncrease by 25%
  3. CDecrease by 22%
  4. DDecrease by 29%
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Correct answer: (B) Increase by 25%

Q316RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Which of the following committees suggested that the 'duty to pay taxes' should also be a Fundamental Duty of the Indian citizen?
  1. ASanthanam Committee
  2. BSwaran Singh Committee
  3. CJustice JS Verma Committee
  4. DSarkaria Commission
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Correct answer: (B) Swaran Singh Committee

Q317RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
A shopkeeper bought an article for ₹740. At what price (in ₹) should he sell the article to make 20% profit?
  1. A876
  2. B900
  3. C592
  4. D888
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Correct answer: (D) 888

Q318RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Radhika travels a distance of 230 km with speed of 46 km/h and 400 km with 100 km/h by her car. Find the average speed (in km/h) of Radhika.
  1. A70
  2. B75
  3. C72
  4. D80
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Correct answer: (A) 70

Q319RRB JE CBT-1, 16 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.) 16 – 17 – 21 – 30; 13 – 14 – 18 – 27
  1. A24 – 25 – 29 – 42
  2. B15 – 16 – 20 – 26
  3. C11 – 12 – 16 – 18
  4. D22 – 23 – 27 – 36
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Correct answer: (D) 22 – 23 – 27 – 36

Q320RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
The area of a square plot is 289 m². The length of each side of the plot (in m) is:
  1. A27
  2. B11
  3. C17
  4. D7
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Correct answer: (C) 17

Q321RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
If third proportional of 12 and 24 be x, then what is the value of x?
  1. A45
  2. B49
  3. C50
  4. D48
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Correct answer: (D) 48

Q322RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Two pieces of cloth measure 96 metres and 144 metres in length. What is the maximum length of cloth that can be cut equally from both pieces without any remainder?
  1. A96 metres
  2. B24 metres
  3. C12 metres
  4. D48 metres
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Correct answer: (D) 48 metres

Q323RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
Komal invested a sum of ₹5000 at 20% per annum compound interest, componded annually. If she received an amount of ₹8640 after n years, the value of n is:
  1. A3.5
  2. B4
  3. C3
  4. D2.5
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Correct answer: (C) 3

Q324RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
50 men can do a piece of work in 12 days. The number of men required to complete the same work in 50 days is:
  1. A12
  2. B11
  3. C19
  4. D15
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Correct answer: (A) 12

Q325RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A tap can fill a cistern in 32 hours, while another tap can empty the full cistern in 64 hours. If the cistern is initially empty and both taps are opened together, find the time (in hours) required to fill one-fourth of the cistern.
  1. A64
  2. B48
  3. C32
  4. D16
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Correct answer: (D) 16

Q326RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
The list price of a refrigerator is ₹15,000. It is sold to a retailer after two successive discounts of 32% and 40%. The retailer wants to earn a profit of 45% on his cost after allowing a 49% discount (on its new list price) to the customer. At what price should he list the refrigerator?
  1. A₹17,400
  2. B₹17,412
  3. C₹17,325
  4. D₹17,504
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Correct answer: (A) ₹17,400

Q327RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
If 14.8 : x :: x : 3.7 and x > 0, then find the value of x.
  1. A7.4
  2. B4.1
  3. C12.9
  4. D11.4
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Correct answer: (A) 7.4

Q328RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation? 4-18×3÷50+33=?
  1. A31
  2. B40
  3. C41
  4. D30
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Correct answer: (C) 41

Q329RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
The average of the first 18 positive multiples of 11 is:
  1. A104.5
  2. B18
  3. C11
  4. D99
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Correct answer: (A) 104.5

Q330RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
How many metres of cloth 2 metres wide will be required to make a conical tent with the diameter of the base being 14 metres and its slant height being 9.5 metres? (Use π = )
  1. A114.5
  2. B104.5
  3. C124.5
  4. D109.5
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Correct answer: (B) 104.5

Q331RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Girish scored 695 marks in an examination and was 17 marks short of 89% of the maximum marks. In the same examination, his friend scored 688 marks. What is the percentage of marks scored by his friend?
  1. A84%
  2. B83%
  3. C86%
  4. D87%
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Correct answer: (C) 86%

Q332RRB 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

Q333RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A shopkeeper sells his goods at cost price. If by using false weights he gains 3 %, then what weight does he use for 1 kg (in g, rounded off to 2 decimal places)?
  1. A987.35
  2. B964.29
  3. C938.99
  4. D954.79
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Correct answer: (B) 964.29

Q334RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A student claims that two cars of equal mass, one moving at 40 km/h and another at 80 km/h, have the same kinetic energy if their engines provide the same power. What is the error in this reasoning?
  1. AThe cars have equal energy if the engines are identical.
  2. BKinetic energy depends on the square of speed, not just on power supplied.
  3. CPower supplied determines energy, regardless of speed.
  4. DBoth cars have equal kinetic energy since both cover the same distance.
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Correct answer: (B) Kinetic energy depends on the square of speed, not just on power supplied.

Q335RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
As per the India Meteorological Department (IMD), what is the approximate total annual normal rainfall received in the Thar Desert, which has a coefficient of variation (CV) of about 38%?
  1. A250 mm per year
  2. B200 mm per year
  3. C150 mm per year
  4. D50 mm per year
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Correct answer: (A) 250 mm per year

Q336RRB 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

Q337RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
How do rays parallel to the principal axis behave after reflection from a convex mirror?
  1. AThey actually converge at the focus.
  2. BThey appear to diverge from a point on the principal axis.
  3. CThey get reflected back along the same path.
  4. DThey pass through the centre of curvature.
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Correct answer: (B) They appear to diverge from a point on the principal axis.

Q338RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
The monthly income of Chetan is ₹60,000 and his expenditure is ₹35,000. If his income increases by 25%, and his expenditure increases by 15%, then what will be the percentage increase in his savings?
  1. A35%
  2. B36%
  3. C39%
  4. D38%
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Correct answer: (C) 39%

Q339RRB JE CBT-1, 25 Feb 2026, 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. (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.) How many young adults are entrepreneurs?
  1. A21
  2. B3
  3. C22
  4. D18
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Correct answer: (A) 21

Q340RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
In the Assumed Mean Method, if the assumed mean (A) = 55 and an observed value x = 40, what is the deviation d?
  1. A1.5
  2. B-1.5
  3. C15
  4. D-15
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Correct answer: (D) -15

Q341RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
If a body at rest is dropped from a certain height and takes 4 seconds to reach the ground, what is the approximate height from which it was dropped? (Take g = 10 m/s²)
  1. A80 meters
  2. B160 meters
  3. C40 meters
  4. D100 meters
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Correct answer: (A) 80 meters

Q342RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Find the roots of the quadratic equation 15x²-x-2=0
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (C)

Q343RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Who among the following has overtaken Yuzvendra Chahal to become India’s highest wicket-taker in T20 Internationals at Eden Gardens in Kolkata on 22 January 2025?
  1. AJasprit Bumrah
  2. BKuldeep Yadav
  3. CMohammed Siraj
  4. DArshdeep Singh
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Correct answer: (D) Arshdeep Singh

Q344RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
A regular hexagon is inscribed in a circle. If the length of the shortest diagonal of the hexagon is 12 cm, find one-sixth of the area (in cm²) of the region lying between the circle and the hexagon.
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (B)

Q345RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Amit had invested same amount of sums at simple as well as compound interest, compounded annually. The time period of both the sums was 2 years and rate of interest too was same 10% per annum. At the end, he found a difference of ₹97 in both the interests received. What were the sums (in ₹) invested?
  1. A8,950
  2. B8,800
  3. C9,700
  4. D10,050
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Correct answer: (C) 9,700

Q346RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
Mr. W travelled 425 km, 946 km and 340 km at a speed of 5 km/hr, 43 km/hr and 34 km/hr, respectively. Find his average speed in km/hr.
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (C)

Q347RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
In what ratio should sugar costing ₹34/kg be mixed with sugar costing ₹58/kg so that by selling the mixture at ₹52.80/kg, there is a profit of 32%?
  1. A5 : 3
  2. B7 : 3
  3. C3 : 1
  4. D5 : 2
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Correct answer: (C) 3 : 1

Q348RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
If the current in a wire is 2 amperes, how much charge flows through a cross-section in 5 seconds?
  1. A7 coulombs
  2. B10 coulombs
  3. C0.4 coulombs
  4. D2.5 coulombs
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Correct answer: (B) 10 coulombs

Q349RRB 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​

Q350RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
The ratio of the cost prices of articles X and Y is 1:2. A man earns a profit of 12% by selling X and incurs a loss of 36% by selling Y. What is his overall gain or loss percentage in the entire transaction?
  1. ALoss, 20%
  2. BGain, 20%
  3. CGain, 26.5%
  4. DLoss, 24.5%
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Correct answer: (A) Loss, 20%

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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