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RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions

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
Q1RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Evaluate: 33 ÷ 9 × 3 - 2 × 3
  1. A8
  2. B5
  3. C7
  4. D4
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Correct answer: (B) 5

Q2RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The Indigo Rebellion took place in _______ during 1859-1860.
  1. AMadras
  2. BBengal
  3. CPunjab
  4. DBombay
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Correct answer: (B) Bengal

Q3RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
What was the venue of the19th annual meeting of the Secretaries of the Security Councils of the Shanghai Cooperation Organization (SCO)?
  1. AAstana, Kazakhstan
  2. BDhaka, Bangladesh
  3. CNew Delhi, India
  4. DKathmandu, Nepal
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Correct answer: (A) Astana, Kazakhstan

Q4RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
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 9 hours 15 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways with same walking speed?
  1. A12 hours 30 minutes
  2. B11 hours 15 minutes
  3. C11 hours 45 minutes
  4. D10 hours 15 minutes
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Correct answer: (B) 11 hours 15 minutes

Q5RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
AC is a chord of a circle. If X and Y are the two points on the circumference of the circle, lying on the same side of the chord AC such that ∠AXC = 58°, then what is the measure of 2∠AYC?
  1. A58°
  2. B60°
  3. C120°
  4. D116°
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Correct answer: (D) 116°

Q6RRB JE CBT-1, 18 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. How many such government servants are there who are Indians but not vegetarians?
  1. A12
  2. B16
  3. C30
  4. D8
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Correct answer: (B) 16

Q7RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Which of the following is NOT a function of the Prime Minister in India?
  1. APower to recommend for dissolution of the Parliament
  2. BAppointment of Supreme Court judges
  3. CRemoval of Ministers
  4. DFormation of the Council of Ministers
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Correct answer: (B) Appointment of Supreme Court judges

Q8RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The average of seven consecutive odd numbers is 41. What is the smallest of these numbers?
  1. A37
  2. B33
  3. C39
  4. D35
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Correct answer: (D) 35

Q9RRB JE CBT-1, 18 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 1534876, what will be the sum of the digits which are third from the left and third from the right?
  1. A8
  2. B6
  3. C10
  4. D14
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Correct answer: (C) 10

Q10RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
What is the average of all the natural numbers from 1 to 94?
  1. A48
  2. B47.5
  3. C47
  4. D48.5
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Correct answer: (B) 47.5

Q11RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
If ‘P’ stands for ‘×’, ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’, what will come in place of the question mark (?) in the following equation? 35 S 49 R 6 P 3 P 2 S (72 Q 4) = ?
  1. A50
  2. B66
  3. C84
  4. D98
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Correct answer: (B) 66

Q12RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
By selling an article at 2/5 of its actual selling price, Ramesh incurs a loss of 16%. If he sells it at 86% of its actual selling price, then the profit percentage is:
  1. A82.6%
  2. B83.4%
  3. C80.6%
  4. D81.8%
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Correct answer: (C) 80.6%

Q13RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A trader lost 10% by selling a shirt for ₹850. He will gain x%' by selling it for ₹1530, the value of x is:
  1. A77
  2. B52
  3. C72
  4. D62
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Correct answer: (D) 62

Q14RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Find the mean of the following frequency distribution. x: 5, 6, 15, 9, 8 f: 10, 5, 8, 10, 9
  1. A7 13/21
  2. B8 13/21
  3. C9 13/21
  4. D6 13/21
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Correct answer: (B) 8 13/21

Q15RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A gardener wants to grow potato plants. He had put a potato with buds (eyes) in the soil. He succeeded to get a new potato plant because:
  1. Apotatoes can be grown by root cuttings
  2. Bthere was no animal to eat the potato buds
  3. Cvegetative propagation is by buds (eyes)
  4. Dthere are no other plant species in that area
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Correct answer: (C) vegetative propagation is by buds (eyes)

Q16RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Which of the following states has the highest density of railway network as of 2019-20?
  1. AWest Bengal
  2. BPunjab
  3. COdisha
  4. DUttar Pradesh
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Correct answer: (D) Uttar Pradesh

Q17RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on first number results in the second number. Similarly, certain mathematical operation on second number results in the third number and so on. Which of the given options follows the same set of operations as in question? (NOTE – A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits) 2 – 14 – 44 – 88 ; 5 – 35 – 65 – 130
  1. A7 – 49 – 79 – 158
  2. B11 – 121 – 152 – 162
  3. C13 – 39 – 122 – 142
  4. D14 – 64 – 94 – 144
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Correct answer: (A) 7 – 49 – 79 – 158

Q18RRB JE CBT-1, 18 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 results in the second number. Similarly, certain mathematical operation(s) on the second number results 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.) 4 - 8 - 16 - 32; 1 - 2 - 4 - 8
  1. A6 - 12 - 24 - 28
  2. B5 - 10 - 20 - 40
  3. C12 - 24 - 28 - 56
  4. D3 - 6 - 12 - 20
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Correct answer: (B) 5 - 10 - 20 - 40

Q19RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
If A's salary is 31 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?
  1. A23.66%
  2. B21.53%
  3. C27.46%
  4. D21.74%
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Correct answer: (A) 23.66%

Q20RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
9 men can do a piece of work in 21 days. The number of men required to complete the same work in 3 days is:
  1. A64
  2. B62
  3. C67
  4. D63
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Correct answer: (D) 63

Q21RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 239, determine the number of boys participating in the sports.
  1. A1215
  2. B1225
  3. C1195
  4. D1170
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Correct answer: (C) 1195

Q22RRB JE CBT-1, 18 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 23 February 2024 to 24 April 2024
  1. A38
  2. B39
  3. C41
  4. D40
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Correct answer: (D) 40

Q23RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
When 268 is added to 6K8, the result is 9P6. What is the least possible value of K and P for which 9P6 is divisible by 3?
  1. AK=4; P=6
  2. BK=6; P=9
  3. CK=0; P=3
  4. DK=3; P=0
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Correct answer: (D) K=3; P=0

Q24RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A company earns a profit (in ₹) that is distributed among the company's three partners in the ratio of 4 : 12 : 5. If the difference between the smallest and the largest shares is ₹20208, the total profit (in ₹) of the company is:
  1. A53097
  2. B53060
  3. C53046
  4. D53096
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Correct answer: (C) 53046

Q25RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The mean marks of the following distribution is: Marks Obtained: 28, 12, 57, 85 No. of Students: 8, 12, 18, 13
  1. A49
  2. B53
  3. C39
  4. D43
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Correct answer: (A) 49

Q26RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
The average price of three items of furniture is Rs 16860. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A7868
  2. B10116
  3. C3372
  4. D5620
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Correct answer: (B) 10116

Q27RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A theater sold 500 tickets to a concert. The tickets for adults cost $20 each, and the tickets for children cost $12 each. If the total revenue was $8,000, how many adult tickets were sold?
  1. A200
  2. B250
  3. C350
  4. D300
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Correct answer: (B) 250

Q28RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A pipe can fill a tank in 18 hours. Another pipe can empty the filled tank in 21 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be filled is:
  1. A126
  2. B128
  3. C129
  4. D127
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Correct answer: (A) 126

Q29RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Simplify the given expression. (1 + cos A) (cosec A − cot A)
  1. Atan A
  2. Bcosec A
  3. Csec A
  4. Dsin A
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Correct answer: (D) sin A

Q30RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A number when increased by 50 %', gives 2970. The number is:
  1. A1980
  2. B5940
  3. C3960
  4. D990
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Correct answer: (A) 1980

Q31RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Nita is pregnant, but loves to eat junk food. Her doctor advised her to eat salads and fruits. The reason for this advice is:
  1. Ajunk food is tasty, but leads to obesity
  2. Bthe nutrients in the mother's blood nourishes the growing baby
  3. Cjunk food is costly in comparison to salad and fruits
  4. Dthe mother's blood has no role in the growth of a baby
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Correct answer: (B) the nutrients in the mother's blood nourishes the growing baby

Q32RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A lens has ________ principal foci.
  1. A4
  2. B1
  3. C2
  4. D3
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Correct answer: (C) 2

Q33RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Article 24 of the Indian Constitution prohibits the employment of children below the age of _____ years in any factory, mine or other hazardous activities.
  1. A12
  2. B14
  3. C18
  4. D16
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Correct answer: (B) 14

Q34RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
A cube of side 5 cm is cut into smaller cubes of side 1 cm. What is the ratio of the total surface area of the larger cube and the sum of the total surfaces of all the smaller cubes?
  1. A1 : 5
  2. B1 : 3
  3. C2 : 5
  4. D2 : 3
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Correct answer: (A) 1 : 5

Q35RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
Which of the following is NOT a property of a regular polygon?
  1. AAll sides are of equal length.
  2. BAngles at the centre by all sides are equal.
  3. CThe angle made by each side at the centre is 90°, if it is a regular polygon with four sides.
  4. DThe angle made by each side at the centre is 60°, if it is a regular polygon with eight sides.
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Correct answer: (D) The angle made by each side at the centre is 60°, if it is a regular polygon with eight sides.

Q36RRB JE CBT-1, 18 Dec 2024, Shift 3 (4:30 PM)
If the interest earned during the 2nd year on a certain sum is ₹4719, and the rate of interest is 10% per annum compounded annually, then the sum is:
  1. A₹42045
  2. B₹42900
  3. C₹41905
  4. D₹42445
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Correct answer: (B) ₹42900

Q37RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A man sold an article for ₹360 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 ₹2250, then what is the value of d?
  1. A41
  2. B38
  3. C42
  4. D45
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Correct answer: (C) 42

Q38RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The marks scored by 10 students are given below. 18, 13, 14, 18, 14, 17, 15, 11, 13, 18 The mode of the data is:
  1. A13
  2. B18
  3. C14
  4. D11
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Correct answer: (B) 18

Q39RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A and B can do a piece of work in 2 days and 42 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. A1.9
  2. B5.1
  3. C3.3
  4. D1.3
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Correct answer: (A) 1.9

Q40RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If the distance between A and B is 530 Km. From A, Namit goes to B with speed 37 km/h and return to A with the speed 77 km/h. Find the average speed of Namit.(rounded off to two decimal place)
  1. A46.51 km/h
  2. B49.98 km/h
  3. C44.54 km/h
  4. D44.47 km/h
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Correct answer: (B) 49.98 km/h

Q41RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The larger of two supplementary angles is 22° more than the smaller. The smaller angle (in degree) is:
  1. A79
  2. B84
  3. C86
  4. D88
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Correct answer: (A) 79

Q42RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A solution has a pH of 8. If it is diluted with an equal volume of water, what will happen to its pH?
  1. AThe pH will decrease.
  2. BThe pH will increase.
  3. CThe pH will remain the same.
  4. DIt will become neutral.
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Correct answer: (D) It will become neutral.

Explanation

Official answer key: (4) It will become neutral. Correct answer should be (1) The pH will decrease. Diluting a basic solution (pH 8) with an equal volume of water halves [OH⁻], so the pH falls to about 7.7. It moves towards 7 but does not become exactly neutral. Scoring follows the official key.

Q43RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Twelve years ago, the age of Reena's mother was three times the age of Reena. Two years hence, the mother's age will be 2 times the age of Reena. Find the ratio of the present ages of Reena and her mother.
  1. A5 : 9
  2. B27 : 13
  3. C13 : 27
  4. D9 : 11
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Correct answer: (C) 13 : 27

Q44RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The average price of three items of furniture is Rs 16890. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
  1. A10134
  2. B3378
  3. C5630
  4. D7882
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Correct answer: (A) 10134

Q45RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If the mean proportional of P and 125 is 100, then find the value of P.
  1. A77
  2. B80
  3. C79
  4. D82
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Correct answer: (B) 80

Q46RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Find the value of sin²63° + sin²27° + cos²17° + cos²73° + cos²90°.
  1. A1
  2. B2
  3. C−1
  4. D0
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Correct answer: (B) 2

Q47RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
If A's salary is 72 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?
  1. A44.19%
  2. B41.86%
  3. C45.3%
  4. D44.24%
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Correct answer: (B) 41.86%

Q48RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of persons who own the given brands of car. How many person own both MS and WB but not HM? (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)
  1. A18
  2. B12
  3. C34
  4. D8
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Correct answer: (B) 12

Q49RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Two taps can fill a cistern in 2 hours and 51 hours respectively. A third tap can empty it in 51 hours. How long (in hours) will it take to fill the empty cistern, if all of them are opened together?
  1. A5
  2. B3
  3. C4
  4. D2
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Correct answer: (D) 2

Q50RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
A, B and C invest sum in the ratio 76 : 37 : 52 respectively. If they earned total profit of ₹3850 at the end of year, then what is the difference between share of B and C?
  1. A₹203
  2. B₹305
  3. C₹360
  4. D₹350
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Correct answer: (D) ₹350

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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