RRB JE · Mathematics

Geometry Previous Year Questions

11 Geometry (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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Q1RRB 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.

Q2RRB 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

Q3RRB JE CBT-1, 18 Dec 2024, Shift 1 (9:00 AM)
The centres of two circles with radii 28 cm and 20 cm are 50 cm apart. What is the length (in cm) of the transverse common tangent?
  1. A16
  2. B15
  3. C13
  4. D14
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Correct answer: (D) 14

Q4RRB JE CBT-1, 17 Dec 2024, Shift 3 (4:30 PM)
What is the angle formed between two lateral faces of a triangular glass prism called?
  1. AAngle of refraction
  2. BAngle of incidence
  3. CAngle of the prism
  4. DAngle of deviation
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Correct answer: (C) Angle of the prism

Q5RRB JE CBT-1, 17 Dec 2024, Shift 2 (12:45 PM)
Let O be the incentre of a triangle PQR and S be a point on the side QR such that OS ⊥ QR. If ∠QOS = 15°, then ∠PQR = ?
  1. A65°
  2. B130°
  3. C75°
  4. D150°
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Correct answer: (D) 150°

Q6RRB JE CBT-1, 16 Dec 2024, Shift 1 (9:00 AM)
If the three angles of a quadrilateral are 70°, 85° and 95°, then find the fourth angle.
  1. A115°
  2. B105°
  3. C110°
  4. D100°
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Correct answer: (C) 110°

Q7RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
O and C are respectively the orthocentre and the circumcentre of an acute angled triangle ∆PQR. ∠QCR = 138°. A perpendicular PM is dropped from P on side QR. If ∠PQR = 52°, what is the degree measure of ∠RPM?
  1. A38
  2. B42
  3. C69
  4. D31
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Correct answer: (D) 31

Q8RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A person standing 20 meters away from the base of a tower observes that the angle of elevation to the top of the tower is 60°. Find the height of the tower. (Rounded off to two decimal places)
  1. A34.64 m​
  2. B32.60 m​
  3. C38.38 m​
  4. D36.67 m​
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Correct answer: (A) 34.64 m​

Q9RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
A scientist wants to demonstrate that dispersion depends on wavelength. She shines monochromatic red light through a prism. What does she observe and why?
  1. AOnly a single red ray emerges; no spectrum forms because there is only one wavelength
  2. BRed light is absorbed, so nothing emerges
  3. CMultiple red rays emerge, each at a different angle
  4. DA full spectrum appears, showing all colors
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Correct answer: (A) Only a single red ray emerges; no spectrum forms because there is only one wavelength

Q10RRB JE CBT-1, 19 Feb 2026, Shift 3 (4:30 PM)
Two circles, having their centres at A and at B, touch externally at a point M. From a point P on a tangent at M, tangents PQ and PR are drawn to the circles with points of contact Q and R, respectively. If AP = 13 cm and AM = 5 cm, find the value of PQ + PR − PM.
  1. A12 cm
  2. B10 cm
  3. C13 cm
  4. D14 cm
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Correct answer: (A) 12 cm

Q11RRB 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

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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