CDS Exam (II)- 2014 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (II)- 2014 - Elementary Mathematics

CDS Exam (II)- 2014 - Elementary Mathematics Defence Questions

11.
The difference between compound interest and simple interest for 2 years at the rate of 10% over principal amount of ₹ X is ₹ 10. What is the value of X?
A.
₹ 100
B.
₹ 1,000
C.
₹ 500
D.
₹ 5,000
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ANSWER :
B. ₹ 1,000
12.
A sum of money becomes 3 times in 5 years at simple interest. In how many years will the same sum become 6 times at the same rate of simple interest?
A.
10 years
B.
12 years
C.
12.5 years
D.
10.5 years
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ANSWER :
C. 12.5 years
13.
A man buys 200 oranges for ₹ 1,000. How many oranges for ₹ 100 can he sell so that his profit percentage is 25%?
A.
10
B.
14
C.
16
D.
20
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ANSWER :
C. 16
14.
If m% of m + n% of n = 2% of \( (m \times n) \), then what percentage of m is n?
A.
50%
B.
75%
C.
100%
D.
Cannot be determined due to insufficient data
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ANSWER :
C. 100%
15.
If the side of a cube is increased by 100%, then by what percentage is the surface area of the cube increased?
A.
150%
B.
200%
C.
300%
D.
400%
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ANSWER :
C. 300%
16.
How many pairs of positive integers m and n satisfy the equation \( \frac{1}{m} + \frac{4}{n} = \frac{1}{12} \) where n is an odd integer less than 60?
A.
7
B.
5
C.
4
D.
3
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ANSWER :
D. 3
17.
The sides of a triangle are in the ratio \( \frac{1}{2} : \frac{1}{3} : \frac{1}{4} \). If its perimeter is 52 cm, then what is the length of the smallest side?
A.
9 cm
B.
10 cm
C.
11 cm
D.
12 cm
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ANSWER :
D. 12 cm
18.
The diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform circular cross-section. If the length of the wire is 36 m, then what is its radius equal to?
A.
0.1 cm
B.
0.01 cm
C.
0.001 cm
D.
1.0 cm
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ANSWER :
A. 0.1 cm
19.
Consider all those two-digit positive integers less than 50, which when divided by 4 yield unity as remainder. What is their sum?
A.
310
B.
314
C.
318
D.
323
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ANSWER :
A. 310
20.
If every side of an equilateral triangle is doubled, then the area of new triangle becomes k times the area of the old one. What is k equal to?
A.
\( \sqrt{3} \)
B.
2
C.
4
D.
8
😑 View Answer Error
ANSWER :
C. 4
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