Geometry SSC CGL Questions

Geometry

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°

ANSWER :
B. 30°
2.

The lengths 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

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°

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\(\sqrt{2}\)

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

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 = 6 cm, 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

ANSWER :
A. 4, 2.5