Geometry SSC CHSL Questions

Geometry MCQ Questions

7.
△PQR is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:
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A.
48 cm
B.
42 cm
C.
45 cm
D.
38 cm
ANSWER :
A. 48 cm
8.
The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm2 , then its radius is:\((\text{Take }\pi = \frac{22}{7})\)
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A.
3.5 cm
B.
3 cm
C.
7 cm
D.
5 cm
ANSWER :
A. 3.5 cm
9.
If a and b are the lengths of two sides of a triangle such that the product ab = 24, where a and b are integers, then how many such triangles are possible?
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A.
18
B.
16
C.
12
D.
15
ANSWER :
D. 15
10.
△PQR is inscribed in a circle with center O. PO is produced to meet QR at U and the circle at S, and PT ⊥ QR, where T lies between Q and U. If ∠Q = 70° and ∠R = 55° , then what is the measure (in degrees) of ∠TPS ?
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A.
25
B.
20
C.
15
D.
30
ANSWER :
C. 15
11.
In △ABC, DE II AB, where D and E are points on sides AC and BC, respectively. F is a point between C and D such that EF II BD. If AD = 15cm, DC = 10cm, then the length of CF is:
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A.
3 cm
B.
7.5 cm
C.
4 cm
D.
5 cm
ANSWER :
C. 4 cm
12.
What is the perimeter of a right-angled triangle whose sides (making 90°) are \(20\sqrt{3}\ \text{cm}\) cm and \(15\sqrt{3}\ \text{cm}\) cm
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A.
\(60\sqrt{3}\ \text{cm}\)
B.
\(55\sqrt{3}\ \text{cm}\)
C.
\(65\sqrt{3}\ \text{cm}\)
D.
\(50\sqrt{3}\ \text{cm}\)
ANSWER :
A. \(60\sqrt{3}\ \text{cm}\)