Mensuration and Geometry SSC MTS Questions

Mensuration and Geometry MCQ Questions

1.
The surface area of a sphere is 616 cm2., find its diameter: \(\text{Take }\pi = \frac{22}{7}\)
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A.
14 cm
B.
2 cm
C.
4 cm
D.
3 cm
ANSWER :
A. 14 cm
2.
The diameter of a metallic sphere is 6 cm. It is melted and drawn into a wire having a diameter of the cross section as 0.4 cm. Find the length of the wire (in metres
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A.
18
B.
9
C.
12
D.
10
ANSWER :
B. 9
3.
The area of a trapezium shaped field is 1720 m2, the distance between its parallel sides is 40 m and the length of one of the parallel sides is 48m. What is the length (in m) of the other parallel side?
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A.
56
B.
38
C.
42
D.
34
ANSWER :
B. 38
4.
A cuboid with dimension 2×4 units is melted and a new cube is made. What is the total surface area of the cube formed in square units?
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A.
32
B.
28
C.
24
D.
16
ANSWER :
C. 24
5.
Find the area of an equilateral triangle, each of whose sides measures 12 cm.
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A.
\(36\sqrt{3}\ \text{cm}^2\)
B.
\(3\sqrt{3}\ \text{cm}^2\)
C.
\(\frac{36}{\sqrt{3}}\ \text{cm}^2\)
D.
\(\frac{72}{\sqrt{3}}\ \text{cm}^2\)
ANSWER :
A. \(36\sqrt{3}\ \text{cm}^2\)
6.
The radius and the height of a right circular cone are in the ratio 3: 4. If its volume is 301:44 m3, find the slant height \(\text{(use } \pi = 3.14\text{)}\)
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A.
5cm
B.
20cm
C.
10cm
D.
15cm
ANSWER :
C. 10cm