CDS Exam (II)- 2016 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (II)- 2016 - Elementary Mathematics

CDS Exam (II)- 2016 - Elementary Mathematics Defence Questions

11.
A boy saves Rs. 4.65 daily. What is the least number of days in which he will be able to save an exact number of rupees?
A.
10
B.
20
C.
21
D.
25
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ANSWER :
B. 20
12.
Two men, A and B run a 4 km race on a course 0.25 km round. If their speeds are in the ratio 5 : 4, how often does the winner pass the other?
A.
Once
B.
Twice
C.
Thrice
D.
Four times
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ANSWER :
C. Thrice
13.
Which one of the following rational numbers has non-terminating and repeating decimal expansion?
A.
\( \frac{15}{1600} \)
B.
\( \frac{23}{8} \)
C.
\( \frac{35}{50} \)
D.
\( \frac{17}{6} \)
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ANSWER :
D. \( \frac{17}{6} \)
14.
If \( \alpha \) and \( \beta \) are the two zeros of the polynomial \( 25x^{2} - 15x + 2 \), then what is a quadratic polynomial whose zeros are \( (2\alpha)^{-1} \) and \( (2\beta)^{-1} \)?
A.
\( x^{2} + 30x + 2 \)
B.
\( 8x^{2} - 30x + 25 \)
C.
\( 8x^{2} - 30x \)
D.
\( x^{2} + 30x \)
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ANSWER :
B. \( 8x^{2} - 30x + 25 \)
15.
What is the remainder when \( 2^{100} \) is divided by 101?
A.
1
B.
11
C.
99
D.
100
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ANSWER :
A. 1
16.
In an office, one-third of the workers are women, half of the women are married and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men?
A.
1 : 2
B.
2 : 1
C.
3 : 1
D.
1 : 3
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ANSWER :
D. 1 : 3
17.
A can do 50% more work than B in the same time. B alone can do a piece of work in 30 hours. B starts working and had already worked for 12 hours when A joins him. How many hours should B and A work together to complete the remaining work?
A.
6 hours
B.
12 hours
C.
4.8 hours
D.
7.2 hours
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ANSWER :
D. 7.2 hours
18.
When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the original speed?
A.
140 minutes
B.
120 minutes
C.
100 minutes
D.
80 minutes
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ANSWER :
B. 120 minutes
19.
A candidate scoring \( x\% \) marks in an examination fails by \( a \) marks, while another candidate who scores \( y\% \) marks gets \( b \) marks more than the minimum required pass marks. What is the maximum marks for the examination?
A.
\( \frac{100(a + b)}{x - y} \)
B.
\( \frac{100(a - b)}{x + y} \)
C.
\( \frac{100(a + b)}{y - x} \)
D.
\( \frac{100(a - b)}{x - y} \)
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ANSWER :
C. \( \frac{100(a + b)}{y - x} \)
20.
If \( p \) and \( q \) are the roots of \( x^{2} + px + q = 0 \), then which one of the following is correct?
A.
\( p = 0 \) or 1
B.
\( p = 1 \) only
C.
\( p = -2 \) or 0
D.
\( p = -2 \) only
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ANSWER :
A. \( p = 0 \) or 1
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