Mensuration SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Mensuration MCQ Questions


1.
One diagonal of a rhombus is \(8\sqrt{3}\) cm. If the other diagonal is equal to its side, then the area (in cm²) of the rhombus is
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A.
\(12\sqrt{3}\)
B.
\(24\sqrt{3}\)
C.
\(16\sqrt{3}\)
D.
\(32\sqrt{3}\)
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ANSWER :
D. \(32\sqrt{3}\)
2.
If the difference between two numbers is 5 and the difference between their cubes is 1850, then the difference between their squares is:
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A.
\(5\sqrt{484}\)
B.
\(5\sqrt{482}\)
C.
\(5\sqrt{485}\)
D.
\(5\sqrt{483}\)
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ANSWER :
C. \(5\sqrt{485}\)
3.
The sum of two numbers is 59 and their product is 1150. Find the sum of their squares.
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A.
1183
B.
1178
C.
1176
D.
1181
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ANSWER :
D. 1181
4.
The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm²) of the rhombus is:
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A.
700
B.
840
C.
770
D.
875
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ANSWER :
B. 840
5.
A solid metallic cube of side 20 cm is melted and recast into a cuboid of length 40 cm and breadth 40 cm, What is the length (in cm) of the body diagonal of the cuboid?
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A.
\(15\sqrt{43}\)
B.
\(129\sqrt{5}\)
C.
\(43\sqrt{15}\)
D.
\(5\sqrt{129}\)
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ANSWER :
D. \(5\sqrt{129}\)
6.
When a number M is divided by 7, the reminder is 6. What is the reminder if the square of M is divided by 7?
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A.
4
B.
1
C.
3
D.
2
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ANSWER :
B. 1