Geometry SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Geometry MCQ Questions


1.
In △ABC, ∠A = 135°, CA = \(5\sqrt{2}\)cm and AB = 7 cm. E and F are the midpoints of sides AC and AB, respectively. The length of EF (in cm) is:
SSC CHSL 2021-12.04.2021-1
A.
6.5
B.
5.5
C.
6
D.
5
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ANSWER :
A. 6.5
2.
The altitude AD of a triangle ABC is 9 cm. If AB = 6\(\sqrt{3}\) cm and CD = 3\(\sqrt{3}\) cm, then what will be the measure of ∠A?
SSC CHSL 2021-12.04.2021-1
A.
90°
B.
30°
C.
45°
D.
60°
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ANSWER :
D. 60°
3.
In △ABC, AD is a median. If points E, F and G are midpoints of AD, AE and DE, respectively, then what will be the area of △BFG?
SSC CHSL 2021-12.04.2021-1
A.
\(\tfrac{1}{2}(\text{Area }\triangle ABC)\)
B.
\(\tfrac{1}{8}(\text{Area }\triangle ABC)\)
C.
\(\tfrac{1}{4}(\text{Area }\triangle ABC)\)
D.
\(\tfrac{1}{2}(\text{Area }\triangle BGC)\)
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ANSWER :
C.
\(\tfrac{1}{4}(\text{Area }\triangle ABC)\)
4.
Find the area (in cm2) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm?
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A.
400π and 40
B.
40 and 400π
C.
400 and 40
D.
40 and 400
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ANSWER :
A. 400π and 40
5.
What is the area (in m², up to 1 place of decimal) of an equilateral triangular field of sides 8.5 m?
SSC CHSL 2021-12.04.2021-2
A.
\(\dfrac{18.1}{\sqrt{3}}\)
B.
\(18.1\sqrt{3}\)
C.
\(\dfrac{72.25}{\sqrt{3}}\)
D.
\(72.25\sqrt{3}\)
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ANSWER :
B. \(18.1\sqrt{3}\)
6.
The centroid of an equilateral triangle △ABC is O. If AB = 27 cm, then the length of AO is:
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A.
\(9\sqrt{3}\ \text{cm}\)
B.
\(6\sqrt{3}\ \text{cm}\)
C.
\(7\sqrt{3}\ \text{cm}\)
D.
\(8\sqrt{3}\ \text{cm}\)
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ANSWER :
A. \(9\sqrt{3}\ \text{cm}\)