RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 11)

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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Q501RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
The number 343264 is divisible by:
  1. A43
  2. B32
  3. C29
  4. D27
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Correct answer: (B) 32

Q502RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Which of the following arrangements produces a nearly uniform magnetic field in the central region of a circular current-carrying system under steady conditions?
  1. AUsing loops of varying radii
  2. BUsing multiple closely wound turns of identical radius with constant current
  3. CArranging loops in random orientations
  4. DAllowing current to vary with time in a single loop
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Correct answer: (B) Using multiple closely wound turns of identical radius with constant current

Q503RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In this question, a group of number/symbol is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol to be followed directly as given in the table. NUMBER/SYMBOL 7$86&#3 +5429@ * CODE B C R T H U L P A Q V N JM Conditions – (i) If the first element is a symbol and the last a number, the codes for these two (the first and the last elements) are to be interchanged. (ii) If the first element is an odd number and the last an even number, the first and last elements are to be coded as © (iii) If both second and third elements are perfect squares, the third element is to be coded as the code for the second element. 7 & * 8 4
  1. AM H M R ©
  2. B© H M Q ©
  3. C© H M R ©
  4. DB H M R Q
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Correct answer: (C) © H M R ©

Q504RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Rupesh has borrowed an amount of ₹4,40,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 7% per annum after 3 years?
  1. A93400
  2. B92400
  3. C91400
  4. D94400
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Correct answer: (B) 92400

Q505RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A student drags a suitcase on a flat airport floor. If the force applied and the distance moved both double, how does the work done change?
  1. AWork done halves.
  2. BWork done becomes four times greater.
  3. CWork done doubles.
  4. DWork done remains unchanged.
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Correct answer: (B) Work done becomes four times greater.

Q506RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
The ratio of fare of a person between Auto and Bus is 2 : 3.5 and the ratio of number of passengers travelled, on a particular day, by Auto and Bus is 4 : 7. By what fraction the total fare collected by Auto on that particular day is less than the total fare collected by Bus?
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (A)

Q507RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
This question is based on the five, three-digit numbers given below. (Left) 694 874 742 459 648 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) What will be the resultant if second digit of the highest number is added to the third digit of lowest number?
  1. A16
  2. B14
  3. C12
  4. D13
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Correct answer: (A) 16

Q508RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In the context of uniform circular motion, which of the following examples from everyday life best illustrates this concept?
  1. AA satellite revolving around the Earth at a fixed speed in a circular orbit
  2. BA pendulum bob swinging to and fro
  3. CA car moving with changing speed along a circular track
  4. DA person walking randomly in a park
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Correct answer: (A) A satellite revolving around the Earth at a fixed speed in a circular orbit

Q509RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
If two cars start at the same point and move along a straight road, Car X at a constant speed of 40 km/h and Car Y at a constant speed of 60 km/h, which statement correctly compares their motions after 2 hours?
  1. ACar Y will be 20 km ahead of Car X after 2 hours.
  2. BCar Y will be 40 km ahead of Car X after 2 hours.
  3. CCar X will be 40 km ahead of Car Y after 2 hours.
  4. DBoth cars will have traveled the same distance after 2 hours.
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Correct answer: (B) Car Y will be 40 km ahead of Car X after 2 hours.

Q510RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
One root of the quadratic equation 2x²+(k+3)x+2k=0 is reciprocal of the other. Find the roots.
  1. AQuestion content
  2. B1 and 1
  3. C-1 and -1
  4. D-1 and 1
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Correct answer: (C) -1 and -1

Q511RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A road roller of diameter 2.24 m and length 1 m has to press a ground of area 880 m².
How many revolutions does it make to complete the work?
  1. A109
  2. B125
  3. C100
  4. D114
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Correct answer: (B) 125

Q512RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A 200 m long train crosses a man walking at a speed of 6.6 km/h in the opposite direction in 15 seconds. What is the speed (in km/h) of the train?
  1. A46.3
  2. B41.4
  3. C42.2
  4. D37.2
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Correct answer: (B) 41.4

Q513RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Which calculation correctly gives the molecular mass of nitric acid (HNO₃)?
  1. A1 + 14 + 48
  2. B1 + 14 + 3
  3. C2 + 14 + 48
  4. D1 + 14 + 16
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Correct answer: (A) 1 + 14 + 48

Q514RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In covering a distance of 130 km, Amit takes 4 hours more than Vinay. If Amit doubles his speed, then he would take 9 hour less than Vinay. Amit's original speed is:
  1. A9 km/h
  2. B14 km/h
  3. C5 km/h
  4. D6 km/h
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Correct answer: (C) 5 km/h

Q515RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Let C be a circle with centre O, and R be an external point to C. Let RP and RQ be two tangents to circle C with P and Q being the points of tangency, respectively. If ∠PRQ = 60°, then find ∠POQ.
  1. A120°
  2. B80°
  3. C100°
  4. D60°
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Correct answer: (A) 120°

Q516RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
If at the same rate of interest, in 2 years, the simple interest is ₹48 and compound interest, compounded annually, is ₹54, then what is the principal (in ₹)?
  1. A89
  2. B91
  3. C96
  4. D100
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Correct answer: (C) 96

Q517RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
What is the mass by mass percentage of salt in a solution prepared by dissolving 10 g of salt in 90 g of water?
  1. A90%
  2. B1%
  3. C100%
  4. D10%
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Correct answer: (D) 10%

Q518RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
In this question, a group of number/symbol is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol to be followed directly as given in the table. Number/symbol 2 @9 5 $ 3 & % # 7 + 4 8 6 Code P T L J A WE Q D R S B U F Conditions – If the first element is a number and the last a symbol, the codes for these two (the first and the last elements) are to be interchanged. If the first element is an odd number and the last an even number, the first and last elements are to be coded as * If both second and third elements are perfect squares, the third element is to be coded as the code for the second element. What will be the code for the following group of number-symbol? 537+
  1. ASWRJ
  2. BJWRS
  3. CJRWS
  4. DSRWJ
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Correct answer: (A) SWRJ

Q519RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A man bought two types of sharpeners, one at ₹18 for 9 sharpeners and the other at ₹8 per sharpener. He purchased an equal number of each type and sold all the sharpeners at ₹8 per piece. Find his percentage profit.
  1. A75%
  2. B80%
  3. C60%
  4. D85%
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Correct answer: (C) 60%

Q520RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A cubical gift box has each side measuring 12.4 cm. It is to be wrapped all over with a gift paper. Find the area to be wrapped.
  1. A922.56 cm2
  2. B822.75 cm2
  3. C1022.45 cm2
  4. D1082.50 cm2
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Correct answer: (A) 922.56 cm2

Q521RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Mr. Madan got 9 out of 10 marks in English, 15 out of 16 in life sciences and the ratio of the percentage of his marks in English and Mathematics is 15: 16. If the total marks of Mathematics are 20, then find the difference of the percentage of his marks in Mathematics and life sciences.
  1. A3.5%
  2. B4.35%
  3. C2.25%
  4. D5.25%
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Correct answer: (C) 2.25%

Q522RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
If x is inversely proportional to y, and y = 7 when x = 16, find the value of x, when y = 2.
  1. A55
  2. B47
  3. C56
  4. D53
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Correct answer: (C) 56

Q523RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
The product of two consecutive natural numbers is 12. The greater of the two numbers is:
  1. A2
  2. B4
  3. C6
  4. D3
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Correct answer: (B) 4

Q524RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A tap can fill a cistern in 27 hours, while another tap can empty the full cistern in 36 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. A27
  2. B81
  3. C108
  4. D54
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Correct answer: (A) 27

Q525RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
An object of mass 3 kg initially at rest is subjected to a constant force of 9 N for 2 seconds. What will be its final velocity?
  1. A3 m/s
  2. B18 m/s
  3. C9 m/s
  4. D6 m/s
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Correct answer: (D) 6 m/s

Q526RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A shopkeeper bought six identical mobile phones for ₹72,000. He sold two of these mobile phones for ₹42,000. Find his gain percentage.
  1. A78%
  2. B76%
  3. C75%
  4. D77%
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Correct answer: (C) 75%

Q527RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Which of the following bodies is described as the "real executive" in the Indian political system?
  1. ACouncil of Ministers
  2. BSupreme Court of India
  3. CPresident of India
  4. DPrime Minister of India
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Correct answer: (D) Prime Minister of India

Q528RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation? 53+28÷72×8-3=?
  1. A51
  2. B28
  3. C52
  4. D27
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Correct answer: (C) 52

Q529RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Find the mean proportional of 144 and 9.
  1. A37
  2. B35
  3. C39
  4. D36
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Correct answer: (D) 36

Q530RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Simplify: 23 - [3 - {9 - (4 + 5)}]
  1. A20
  2. B24
  3. C27
  4. D17
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Correct answer: (A) 20

Q531RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
The base and the corresponding height of a parallelogram are 93 cm and 29 cm, respectively. The area of the parallelogram (in cm²) is:
  1. A2701
  2. B2697
  3. C2714
  4. D2696
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Correct answer: (B) 2697

Q532RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Simplify the following. 112 ÷ [16 ÷ 8 × {18 + 12 − (3 + 10 − (4 + 7))}]
  1. A3
  2. B4
  3. C11
  4. D2
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Correct answer: (D) 2

Q533RRB JE CBT-1, 19 Feb 2026, 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. (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 builders are urban residents and own land?
  1. A11
  2. B6
  3. C7
  4. D9
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Correct answer: (C) 7

Q534RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Mahesh has borrowed an amount of ₹4,40,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 6% per annum after 4 years?
  1. A1,06,600
  2. B1,05,600
  3. C1,03,600
  4. D1,04,600
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Correct answer: (B) 1,05,600

Q535RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
X people were given a contract for doing a piece of work in 32 days. 8 people did not turn up to work due to sickness, and the rest of the people completed the work in 40 days. What is the value of X?
  1. A38
  2. B42
  3. C40
  4. D44
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Correct answer: (C) 40

Q536RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
What is the constitutional consequence if the Lok Sabha passes a no-confidence motion against the ruling government?
  1. AThe Speaker of Lok Sabha is removed by the President
  2. BThe government may continue without any change
  3. COnly the Prime Minister must submit resignation
  4. DThe Council of Ministers is obligated to step down
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Correct answer: (D) The Council of Ministers is obligated to step down

Q537RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Ajay spends 80% of his income. His income is increased by 30%, and his expenditure is increased by 10%. Find the percentage increase in his savings.
  1. A105%
  2. B100%
  3. C90%
  4. D110%
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Correct answer: (D) 110%

Q538RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Which enzyme initiates carbohydrate digestion in the human mouth?
  1. ASalivary amylase present in saliva
  2. BPepsin secreted by gastric glands
  3. CLipase secreted by liver
  4. DTrypsin released by pancreas
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Correct answer: (A) Salivary amylase present in saliva

Q539RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Ajay can row at 4.5 km/h in still water. It takes him twice the time to row up as it takes for him to row down the same distance. Find the speed of the stream (in km/h).
  1. A0.5
  2. B3
  3. C1.5
  4. D2
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Correct answer: (C) 1.5

Q540RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
The term 'Ragam-Tanam-Pallavi' is associated with which style of Indian music?
  1. AHindustani Music
  2. BSufi Music
  3. CFolk Music
  4. DCarnatic Music
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Correct answer: (D) Carnatic Music

Q541RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
100 apples were bought at ₹1,240 per hundred and were sold at a profit of ₹935. Find the selling price (in ₹) per dozen of apples.
  1. A266
  2. B271
  3. C256
  4. D261
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Correct answer: (D) 261

Q542RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
What is the remainder when 3⁹³⁹ is divided by 8?
  1. A2
  2. B3
  3. C5
  4. D0
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Correct answer: (B) 3

Q543RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
A physicist uses a convex lens to focus sunlight onto a piece of paper and notices the smallest, brightest spot forms at a certain distance from the lens. Which property of the lens does this experiment help to determine?
  1. AThe experiment helps to determine the principal axis of the lens.
  2. BThe experiment helps to determine the optical center of the lens.
  3. CThe experiment helps to determine the diameter of the lens.
  4. DThe experiment helps to determine the focal length of the lens.
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Correct answer: (D) The experiment helps to determine the focal length of the lens.

Q544RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
From the top of a cliff the angle of depression of a point on the ground 240 feet away from the bottom of the cliff is 30°. Find the height of the cliff (in feet, rounded off to the nearest integer). (Use √3 = 1.732)
  1. A124
  2. B139
  3. C146
  4. D130
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Correct answer: (B) 139

Q545RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
The LCM of 2³ × 6² × 11, 2² × 11² × 17 and 6³ × 11² × 17² is:
  1. A24 × 34 × 112 × 172
  2. B25 × 33 × 112 × 172
  3. C24 × 33 × 112 × 172
  4. D25 × 34 × 112 × 172
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Correct answer: (B) 25 × 33 × 112 × 172

Q546RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
A shopkeeper marks an article at ₹x and offers a discount of 50% on it. He sells it for ₹287 after charging VAT of 64% on the discounted price. What is the value of x?
  1. A300
  2. B200
  3. C250
  4. D350
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Correct answer: (D) 350

Q547RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
A cricket ball of mass 0.15 kg is thrown horizontally at 30 m/s from the top of a building. What is the ball's kinetic energy as it leaves the hand?
  1. A90 J
  2. B135 J
  3. C67.5 J
  4. D45.5 J
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Correct answer: (C) 67.5 J

Q548RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Girish scored 459 marks in an examination and was 81 marks short of 20% of the maximum marks. In the same examination, his friend scored 756 marks. What is the percentage of marks scored by his friend?
  1. A29%
  2. B28%
  3. C30%
  4. D27%
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Correct answer: (B) 28%

Q549RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
The difference between simple interest and compound interest, compounded annually, on a certain sum of money for 2 years at 11% per annum is ₹371. Find the sum. [Give your answer rounded off to the nearest integer.]
  1. A₹30,672
  2. B₹30,669
  3. C₹30,679
  4. D₹30,661
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Correct answer: (D) ₹30,661

Q550RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
If a material has an absolute refractive index of 1.7, what does this imply about the speed of light in that material compared to vacuum?
  1. ALight travels 1.7 times faster in the material than in vacuum.
  2. BLight travels at the same speed in both.
  3. CThe speed difference cannot be determined from this value.
  4. DLight travels 1.7 times slower in the material than in vacuum.
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Correct answer: (D) Light travels 1.7 times slower in the material than in vacuum.

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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