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RRB JE · Mathematics

Mensuration Previous Year Questions

51 Mensuration (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 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)
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°

Q2RRB 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)

Q3RRB 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.

Q4RRB JE CBT-1, 18 Dec 2024, Shift 2 (12:45 PM)
The total surface area of a solid hemisphere is 191 cm². Its radius (in cm) is: (Take π = 22/7)
  1. A√(1347/66)
  2. B√(1347/132)
  3. C√(1337/66)
  4. D√(1345/66)
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Correct answer: (C) √(1337/66)

Q5RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The curved surface area of a cone is 5544 cm², and the diameter is 168 cm. What is its total surface area (in cm²)? (Use π = 22/7)
  1. A27,270
  2. B27,720
  3. C25,530
  4. D23,550
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Correct answer: (B) 27,720

Q6RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
A copper wire has a resistance of 10 Ω. If it is replaced with a wire of the same material and length but twice the cross-sectional area, its resistance will be ______.
  1. A20 Ω
  2. B10 Ω
  3. C5 Ω
  4. D2.5 Ω
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Correct answer: (C) 5 Ω

Q7RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
In which year was 'Heirloom Treasures: The Cultural Tapestry of India: A Compilation of Selected Articles from India Beckons: Volume 1,' by Arunima Hoskote, published?
  1. A2019
  2. B2021
  3. C2018
  4. D2020
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Correct answer: (D) 2020

Q8RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the difference between the hypotenuse and the base of an isosceles right triangle that has an area of 392 m² (use √2 = 1.4)?
  1. A11.9 m
  2. B10.9 m
  3. C11.2 m
  4. D12.4 m
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Correct answer: (C) 11.2 m

Q9RRB 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

Q10RRB 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

Q11RRB 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

Q12RRB 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.

Q13RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
Which combination of factors would result in the lowest resistance for a conductor?
  1. AShort length and small cross-sectional area
  2. BShort length and large cross-sectional area
  3. CLong length and small cross-sectional area
  4. DLong length and large cross-sectional area
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Correct answer: (B) Short length and large cross-sectional area

Q14RRB JE CBT-1, 17 Dec 2024, Shift 1 (9:00 AM)
The diameters of two concentric circles are 34 cm and 50 cm. A straight line, CAPF, intersects the larger circle at points C and F and intersects the smaller circle at points A and P. If AP = 16 cm, find the length of CF.
  1. A34 cm
  2. B50 cm
  3. C30 cm
  4. D40 cm
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Correct answer: (D) 40 cm

Q15RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
If 'M' is the smallest perfect square number, which is exactly divisible by 12, 15 and 18, then find the sum of the digits of the quotient obtained, when M is divided by 25.
  1. A8
  2. B9
  3. C7
  4. D6
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Correct answer: (B) 9

Q16RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
What is the perimeter of a sector of a circle (in cm) if the radius of the circle is 10.5 cm and the angle subtended at the centre of the circle is 60°? (Use π = 22/7)
  1. A32
  2. B43
  3. C41
  4. D37
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Correct answer: (A) 32

Q17RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
A cylindrical rod has an outer curved surface area of 4500 cm². If the length of the rod is 39 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is: (Take π = 22/7)
  1. A18.36
  2. B20.93
  3. C20.48
  4. D18.25
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Correct answer: (A) 18.36

Q18RRB JE CBT-1, 16 Dec 2024, Shift 3 (4:30 PM)
The current through a resistor is:
  1. Aproportional to the square of the resistance
  2. Binversely proportional to the resistance
  3. Cproportional to the square root of the resistance
  4. Ddirectly proportional to the resistance
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Correct answer: (B) inversely proportional to the resistance

Q19RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
The length of each of the two equal sides of an isosceles triangle is 89 cm each and the length of its base is 78 cm. The area (in cm²) of the triangle is:
  1. A3120
  2. B3134
  3. C3102
  4. D3139
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Correct answer: (A) 3120

Q20RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
A wire has a resistance of R. If its length is increased by a factor of 8 and its cross-sectional area is decreased by a factor of 4, what is its new resistance (R')?
  1. AR' = 8 R
  2. BR' = 16 R
  3. CR' = 32 R
  4. DR' = 2 R
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Correct answer: (C) R' = 32 R

Q21RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
PN is a secant intersecting a circle at points M and N such that PN > PM. A tangent PT is drawn to the circle touching it at T. If PM = 32 cm and PT = 40 cm, what is the length (in cm) of the chord MN?
  1. A36
  2. B50
  3. C20
  4. D18
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Correct answer: (D) 18

Q22RRB JE CBT-1, 16 Dec 2024, Shift 2 (12:45 PM)
If a wire is stretched to quadruple its length without changing its area, what will happen to its resistivity?
  1. AIt halves.
  2. BIt quadruples.
  3. CIt remains the same.
  4. DIt doubles.
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Correct answer: (C) It remains the same.

Q23RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
The length of each of the two equal sides of an isosceles triangle is 100 cm each and the length of its base is 56 cm. The area (in cm²) of the triangle is:
  1. A2690
  2. B2688
  3. C2675
  4. D2672
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Correct answer: (B) 2688

Q24RRB 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

Q25RRB 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

Q26RRB 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)

Q27RRB JE CBT-1, 25 Feb 2026, Shift 3 (4:30 PM)
The radius and slant height of a cone are 59.5 cm and 85 cm, respectively. Find its total surface area.
  1. A30,021.5 cm2
  2. B28,021.5 cm2
  3. C27,021.5 cm2
  4. D27,000.5 cm2
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Correct answer: (C) 27,021.5 cm2

Q28RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
A wire of a given material has length l and cross-sectional area A , and its resistance is 9 Ω. Another wire of the same material has length l/3 and cross-sectional area 3A. What will be the resistance of the second wire?
  1. A0.5 Ω
  2. B6 Ω
  3. C2 Ω
  4. D1 Ω
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Correct answer: (D) 1 Ω

Q29RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
A designer wants to create a device that spreads light from a small bulb to illuminate a wide area uniformly. Which lens should be used and why?
  1. AA plane glass, because it transmits light without bending
  2. BA prism, because it bends light at an angle
  3. CA convex lens, because it converges light rays
  4. DA concave lens, because it diverges light rays outward
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Correct answer: (D) A concave lens, because it diverges light rays outward

Q30RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
The radius of a solid right circular cone is 24 cm and its height is 32 cm. The total surface area of the cone is:
  1. A576π cm2
  2. B1536π cm2
  3. C960π cm2
  4. D1728π cm2
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Correct answer: (C) 960π cm2

Q31RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
A farmer wants to improve both the quantity and taste of honey produced on his bee farm. Which of the following strategies should he adopt?
  1. AReduce the number of beehives and increase the number of bees.
  2. BMove the apiary to an area with fewer flowers.
  3. CUse only local bee varieties for honey production.
  4. DIncrease the variety and quantity of flowering plants near the beehives.
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Correct answer: (D) Increase the variety and quantity of flowering plants near the beehives.

Q32RRB JE CBT-1, 20 Feb 2026, Shift 3 (4:30 PM)
The lengths of the three sides of a triangle are 13 cm, 14 cm and 15 cm, respectively. Find the area (in cm²) of the incircle of this triangle. [Use π = 3.14]
  1. A56.52
  2. B47.10
  3. C50.24
  4. D53.38
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Correct answer: (C) 50.24

Q33RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A solid sphere is melted and recast into 18 identical cones, each having a base radius of 3 cm and height of 18 cm. Find the radius of the sphere.
  1. A9 cm
  2. B10 cm
  3. C7 cm
  4. D8 cm
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Correct answer: (A) 9 cm

Q34RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Why do wet clothes dry faster when spread out?
  1. AClothes become hotter
  2. BWater escapes faster due to sunlight
  3. CSurface area is increased
  4. DWater boils off
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Correct answer: (C) Surface area is increased

Q35RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The length of a rectangular field is 34 m more than its breadth. Its area is 5040 m². Its breadth (in m) is:
  1. A37
  2. B56
  3. C44
  4. D54
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Correct answer: (B) 56

Q36RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Which property correctly distinguishes liquids from solids?
  1. ALiquids cannot diffuse into other substances
  2. BLiquids are completely incompressible in nature
  3. CLiquids have fixed shape but no fixed volume
  4. DLiquids have fixed volume but no fixed shape
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Correct answer: (D) Liquids have fixed volume but no fixed shape

Q37RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Why are solids described as rigid in nature?
  1. ATheir particles slide easily under applied external force
  2. BTheir particles possess very low mass and volume
  3. CTheir particles are closely packed with strong attraction
  4. DTheir particles move freely with weak mutual attraction
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Correct answer: (C) Their particles are closely packed with strong attraction

Q38RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The length of a rectangular ground is 21 m more than its breadth. Its area is 31,042 m². Its breadth (in m) is:
  1. A182
  2. B151
  3. C161
  4. D166
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Correct answer: (D) 166

Q39RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A cylindrical vessel contains 154 litres of water. If the radius of the base is 14 cm, the height (in cm) of the water column in the vessel is: (Take )
  1. A250 cm
  2. B275 cm
  3. C260 cm
  4. D240 cm
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Correct answer: (A) 250 cm

Q40RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Choose the correct statements about triangles from the ones given below: A. A triangle can be formed with sides 9 cm, 13 cm, 3 cm. B. In ∆PQR, if ∠P =50°, ∠Q = 30°, then QR is the longest side of the triangle. C. Area of an equilateral triangle of side 6 cm is 18√3 cm². D. In ∆DEF and ∆PQR, ∠D = ∠P, ∠E = ∠Q and DF = PR. Then ∆DEF is congruent to ∆PQR.
  1. AOnly A
  2. BOnly A, B, C
  3. COnly B, C, D
  4. DOnly D
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Correct answer: (D) Only D

Q41RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
What is the volume (incm³) of a solid sphere whose radius is 2.1 cm (rounded off to two decimal places)? (Use π = )
  1. A36.80
  2. B38.81
  3. C32.80
  4. D34.81
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Correct answer: (B) 38.81

Q42RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
Which measurable quantity remains the same when a liquid is transferred between containers?
  1. AVolume of the liquid remains unchanged
  2. BDensity of the liquid always increases
  3. CMass of the liquid becomes zero
  4. DShape of the liquid remains unchanged
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Correct answer: (A) Volume of the liquid remains unchanged

Q43RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
The length of a cuboid is three times its height, and the breadth is twice the height. If the height is (x² + 2) cm, find the lateral surface area of the cuboid at x = 2.
  1. A360 cm2
  2. B420 cm2
  3. C300 cm2
  4. D240 cm2
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Correct answer: (A) 360 cm2

Q44RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
A solar cooker uses a mirror to concentrate sunlight onto a vessel. Which type of mirror is used and what property makes it suitable?
  1. AA convex mirror because it provides a wide field of view
  2. BA concave mirror because it focuses parallel sunlight to a single point
  3. CA plane mirror because it reflects light uniformly
  4. DA convex mirror because it spreads light over a large area
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Correct answer: (B) A concave mirror because it focuses parallel sunlight to a single point

Q45RRB JE CBT-1, 19 Feb 2026, Shift 2 (12:45 PM)
Bee-keeping is suitable as an additional income because it:
  1. ARequires low investment
  2. BDepends on irrigation
  3. CUses chemical fertilisers
  4. DNeeds large land area
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Correct answer: (A) Requires low investment

Q46RRB 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

Q47RRB 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°

Q48RRB 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

Q49RRB 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

Q50RRB JE CBT-1, 19 Feb 2026, Shift 1 (9:00 AM)
Let C be a circle with center O. Let AB be a tangent to C, such that AB touches the circle at P. Let X and Y be any two points on C. If ∠APX = 60° and ∠BPY = 30°, find ∠PYX and ∠PXY, respectively.
  1. A60°, 30°
  2. B90°, 30°
  3. C90°, 60°
  4. D30°, 60°
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Correct answer: (A) 60°, 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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