Geometry SSC CHSL Questions

Geometry MCQ Questions

13.

ABCD is a cyclic quadrilateral with AB as a diameter of the circle. If ∠ADC = 118°, then the measure (in degrees) of ∠BAC is:
SSC CHSL 2021-13.04.2021-2
A.
32
B.
38
C.
22
D.
28
ANSWER :
D. 28
14.
A wire is bent to form a square of area 169 cm². If the same wire is bent to form circle, then what is its area (in cm², to the nearest whole number)? \(\text{Take }\pi = \dfrac{22}{7}\)
SSC CHSL 2021-13.04.2021-2
A.
215
B.
227
C.
532
D.
531
ANSWER :
A. 215
15.
Two sides of a triangle are 12.8 m and 9.6 m. If the height of the triangle is 12 m corresponding to 9.6 m, then what is its height (in m) corresponding to 12.8 m?
SSC CHSL 2021-13.04.2021-2
A.
12
B.
9
C.
10
D.
8
ANSWER :
B. 9
16.
The side BC of a triangle ABC is extended to a point D. If ∠ACD = 117° and ∠ABC = \(\dfrac{5}{8}\) ∠BAC, then what is the measure of ∠ABC?
SSC CHSL 2021-13.04.2021-3
A.
45°
B.
72°
C.
36°
D.
54°
ANSWER :
A. 45°
17.
P, Q and R are three points on the circumference of a circle such that QR is a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:
SSC CHSL 2021-13.04.2021-3
A.
\(14\sqrt{2}\ \text{cm}\)
B.
\(7\ \text{cm}\)
C.
\(7\sqrt{3}\ \text{cm}\)
D.
\(7\sqrt{2}\ \text{cm}\)
ANSWER :
D. \(7\sqrt{2}\ \text{cm}\)
18.
A circle touches all four sides of a quadrilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm, then what is the length of RS?
SSC CHSL 2021-13.04.2021-3
A.
9 cm
B.
7.3 cm
C.
7 cm
D.
15 cm
ANSWER :
A. 9 cm