Geometry SSC CHSL Questions

Geometry

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 ∥ AB, where D and E are points on sides AC and BC, respectively. F is a point between C and D such that EF ∥ BD. If AD = 15 cm, DC = 10 cm, 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 \(20\sqrt{3}\ \text{cm}\) and \(15\sqrt{3}\ \text{cm}\)?


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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. \(60\sqrt{3}\ \text{cm}\)