Geometry SSC CGL Questions

SSC CGL-Quantitative Aptitude
Geometry

Geometry MCQ Questions


7.
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62°, find the measure of minor arc AC.
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A.
56°
B.
62°
C.
28°
D.
31°
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ANSWER :
A. 56°
8.
O is the centre of a circle with diameter 20 cm. T is a point outside the circle and TA is a tangent to a circle. If OT is 26 cm, what is the length (in cm) of the tangent TA?
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A.
18
B.
20
C.
24
D.
26
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ANSWER :
C. 24
9.

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42°, then the measure of ∠PTQ is
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A.

58°

B.

59°

C.

69°

D.

48°

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ANSWER :
C. 69°
10.
Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42°. ∠PQT (in degrees) is:
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A.
48
B.
45
C.
42
D.
60
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ANSWER :
A. 48
11.
AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB, such that ∠CAB = 42° and ∠ABD = 57°. What is difference (in degrees) between the measures of ∠CAD and ∠CBD?
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A.
105 and 75
B.
75 and 105
C.
81 and 99
D.
99 and 81
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ANSWER :
B. 75 and 105
12.

The difference between the two perpendicular sides of a right-angled triangle is 17 cm and its area is 84 cm2. What is the perimeter (in cm) of the triangle?
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A.

40

B.

49

C.

36

D.

56

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ANSWER :
D. 56
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