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.
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?
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)
A scientist wants to demonstrate that dispersion depends on wavelength. She shines
monochromatic red light through a prism. What does she observe and why?
AOnly a single red ray emerges; no spectrum forms because there is only one wavelength
BRed light is absorbed, so nothing emerges
CMultiple red rays emerge, each at a different angle
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
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.
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)
A124
B139
C146
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.