Geometry SSC CGL Questions

SSC CGL-Quantitative Aptitude

Geometry MCQ Questions


1.
In ΔABC, points P, Q, R are taken on AB, BC, CA respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75°, what is the measure of ∠PQR (in degrees)?
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A.
40°
B.
30°
C.
50°
D.
75°
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ANSWER :
B. 30°
2.
The lenghts of the three sides of a right angled triangle are (x-1)cm, (x+1)cm and (x+3)cm respectively. The hypotenuse of the right angled triangle (in cm) is:
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A.
6
B.
10
C.
12
D.
7
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ANSWER :
B. 10
3.
An equilateral triangle ABC is inscribed in a circle with centre O, D is a point on the minor arc BC and ∠CBD = 40°. Find the measure of ∠BCD.
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A.
30°
B.
50°
C.
20°
D.
40°
😑 View Answer Rough Work Error
ANSWER :
C. 20°
4.
What is the height (in cm) of an equilateral triangle whose each side is 8 cm?
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A.
3\(\sqrt{5}\)
B.
4\(\sqrt{2}\)
C.
4\(\sqrt{3}\)
D.
3\(\sqrt{2}\)
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ANSWER :
C. 4\(\sqrt{3}\)
5.
In ΔLMN, the bisectors of ∠L and ∠N intersect at an angle of 112°. What is the measure (in degrees) of ∠M?
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A.
62
B.
60
C.
44
D.
72
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ANSWER :
C. 44
6.
In ΔACD, B and E are two points on side AC and AD respectively, such that BE is parallel to CD. CD = 9 cm. BE = 6cm, AB = 5 cm and ED = 2 cm. What are the measures of the lengths (in cm) of AE and BC?
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A.
4, 2.5
B.
3, 4
C.
4, 3
D.
2.5, 4
😑 View Answer Rough Work Error
ANSWER :
A. 4, 2.5