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RRB JE · Mathematics

Algebra Previous Year Questions

37 Algebra (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 42Statistics 37Simple & Compound Interest 36Time & Work 30Simplification 29Average 29Geometry 11Problems on Ages 9
Q1RRB 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

Q2RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
Solve the following linear equation. 2x − y + z = 8, x + y − z = 10, x + y + 2z = 12
  1. Ax = −1/3, y = 6, z = 14/3
  2. Bx = −6, y = −14/3, z = 1/3
  3. Cx = 2/3, y = −6, z = 14/3
  4. Dx = 6, y = 14/3, z = 2/3
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Correct answer: (D) x = 6, y = 14/3, z = 2/3

Q3RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 34 ÷ 33 × 22 + 19 − 40 = ?
  1. A74
  2. B72
  3. C73
  4. D70
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Correct answer: (B) 72

Q4RRB 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

Q5RRB 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

Q6RRB 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

Q7RRB 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

Q8RRB 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

Q9RRB 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

Q10RRB 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

Q11RRB 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.

Q12RRB 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

Q13RRB 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

Q14RRB 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

Q15RRB 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.

Q16RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 26 + 43 − 32 × 23 ÷ 46 = ?
  1. A47
  2. B49
  3. C48
  4. D45
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Correct answer: (A) 47

Q17RRB JE CBT-1, 16 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? 51 − 8 ÷ 2 + 6 × 2 = ?
  1. A71
  2. B66
  3. C64
  4. D70
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Correct answer: (C) 64

Q18RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If x is inversely proportional to y, and y = 7 when x = 5, find the value of x, when y = 90.
  1. A7/18
  2. B7/19
  3. C9/21
  4. D8/19
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Correct answer: (A) 7/18

Q19RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
What will come in the place of the question mark (?) in the following equation if ‘÷’ and ‘−' are interchanged and ‘+’ and ‘×’ are interchanged? 10 + 52 − 13 × 4 ÷ 18 = ?
  1. A24
  2. B26
  3. C22
  4. D19
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Correct answer: (B) 26

Q20RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will be come in place of the question mark (?) in the following equation? 13 D 32 C 36 B 49 A 49 = ?
  1. A15
  2. B18
  3. C19
  4. D17
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Correct answer: (D) 17

Q21RRB 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

Q22RRB 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

Q23RRB 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

Q24RRB 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

Q25RRB 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)

Q26RRB JE CBT-1, 20 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? 7-24×6÷18+7=?
  1. A40
  2. B45
  3. C48
  4. D39
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Correct answer: (D) 39

Q27RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
The equations x² − 5x + 6 = 0 and x² +ax + b = 0, have exactly one common root, and the other root of the second equation is –4. Among the following, which are the possible values of a and b?
  1. Aa=3, b=−6
  2. Ba=1, b=12
  3. Ca=5, b=−20
  4. Da=2, b=−8
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Correct answer: (D) a=2, b=−8

Q28RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 16 ÷ 2 + 22 × 2 − 8 = ? + 3
  1. A28
  2. B31
  3. C32
  4. D34
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Correct answer: (C) 32

Q29RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Let and be roots of the equation , and the roots of the equation are and . The value of is _____.
  1. A48
  2. B42
  3. C45
  4. D40
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Correct answer: (B) 42

Q30RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation? 8-21×3÷75+13=?
  1. A119
  2. B120
  3. C128
  4. D118
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Correct answer: (D) 118

Q31RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
What will come in place of ‘?’ in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 12 ÷ 3 + 32 × 4 − 5 = ? + 3
  1. A36
  2. B34
  3. C32
  4. D38
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Correct answer: (A) 36

Q32RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
If third proportional of 8 and 48 be x, then what is the value of x?
  1. A289
  2. B286
  3. C288
  4. D291
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Correct answer: (C) 288

Q33RRB 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

Q34RRB 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

Q35RRB 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

Q36RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation? 3-24×6÷21+7=?
  1. A28
  2. B26
  3. C36
  4. D31
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Correct answer: (B) 26

Q37RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Consider a quadratic equation 3x² + 4x - 8 = 0. Which of the following quadratic equations will have both roots common with the given quadratic equation?
  1. AQuestion content
  2. BQuestion content
  3. CQuestion content
  4. DQuestion content
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Correct answer: (B)

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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