Geometry SSC CGL Questions

SSC CGL-Quantitative Aptitude
Geometry

Geometry MCQ Questions


13.

The bisector of ∠B in △ABC meets AC at D. If AB = 12 cm, BC = 18 cm and AC = 15 cm, then the length of AD (in cm) is:
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A.

6

B.

5

C.

12

D.

9

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ANSWER :
A. 6
14.
A tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 10.5 cm. A secant PAB intersects the circle in points A and B. If PA = 7 cm, what is the length (in cm) of the chord AB?
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A.
8.5
B.
8.75
C.
7.75
D.
8.45
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ANSWER :
B. 8.75
15.

Two common tangents AC and BD touch two equal circles each of radius 7 cm, at points A, C, B and D, respectively, as shown in the figure. If the length of BD is 48 cm, what is the length of AC?

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A.

40 cm

B.

30 cm

C.

50 cm

D.

48 cm

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ANSWER :
C. 50 cm
16.

A vertical pole and a vertical tower are on the same level ground in such a way that, from the top of the pole, the angle of elevation of the top of the tower is 60° and the angle of depression of the bottom of the tower is 30°. If the height of the pole is 24 m, then find the height of the tower (in m).
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A.

24\(\sqrt{3}\)(\(\sqrt{3}\) + 1)

B.

72

C.

96

D.

24(\(\sqrt{3}\) + 1)

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ANSWER :
C. 96
17.
Sides AB and AC of triangle ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 78°, then the measure of ∠P is:
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A.
51°
B.
61°
C.
55°
D.
56°
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ANSWER :
A. 51°
18.

In ΔABC, ∠A = 88°. If I is the incentre of the triangle, then the measure of ∠BIC is:
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A.

112°

B.

134°

C.

56°

D.

68°

😑 View Answer Error
ANSWER :
B. 134°
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