CDS Exam (II)- 2018 - Elementary Mathematics Defence Question Paper

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CDS Exam (II)- 2018 - Elementary Mathematics

CDS Exam (II)- 2018 - Elementary Mathematics Defence Questions

21.
The minimum value of the expression \( 2x^{2} + 5x + 5 \) is
A.
5
B.
15/8
C.
-15/8
D.
0
😑 View Answer Error
ANSWER :
B. 15/8
22.
If H is the harmonic mean of P and Q, then the value of \( \frac{H}{P} + \frac{H}{Q} \) is
A.
1
B.
2
C.
\( \frac{P + Q}{PQ} \)
D.
\( \frac{PQ}{P + Q} \)
😑 View Answer Error
ANSWER :
B. 2
23.
The sum of all possible products taken two at a time out of the numbers \( \pm 1, \pm 2, \pm 3, \pm 4 \) is
A.
0
B.
-30
C.
30
D.
55
😑 View Answer Error
ANSWER :
B. -30
24.
The remainder when \( 3x^{3} - 2x^{2}y - 13xy^{2} + 10y^{3} \) is divided by \( (x - 2y) \) is equal to
A.
Zero
B.
y
C.
y - 5
D.
y + 3
😑 View Answer Error
ANSWER :
A. Zero
25.
If ab + bc + ca = 0, then the value of
\( \frac{(b^{2} - ca)(c^{2} - ab) + (a^{2} - bc)(c^{2} - ab) + (a^{2} - bc)(b^{2} - ca)}{(a^{2} - bc)(b^{2} - ca)(c^{2} - ab)} \)
is
A.
-1
B.
0
C.
1
D.
2
😑 View Answer Error
ANSWER :
B. 0
26.
What is the principal amount which earns ₹ 210 as compound interest for the second year at 5% per annum?
A.
₹ 2000
B.
₹ 3200
C.
₹ 4000
D.
₹ 4800
😑 View Answer Error
ANSWER :
C. ₹ 4000
27.
In an examination, 50% of the candidates failed in English, 40% failed in Hindi and 15% failed in both the subjects. The percentage of candidates who passed in both English and Hindi is
A.
20%
B.
25%
C.
60%
D.
75%
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ANSWER :
B. 25%
28.
A train 100 m long passes a platform 100 m long in 10 seconds. The speed of the train is
A.
36 kmph
B.
45 kmph
C.
54 kmph
D.
72 kmph
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ANSWER :
D. 72 kmph
29.
A cyclist covers his first 20 km at an average speed of 40 kmph, another 10 km at an average speed of 10 kmph and the last 30 km at an average speed of 40 kmph. Then the average speed of the entire journey is
A.
20 kmph
B.
26.67 kmph
C.
28.24 kmph
D.
30 kmph
😑 View Answer Error
ANSWER :
B. 26.67 kmph
30.
In a race of 1000 m, A beats B by 150 m, while in another race of 3000 m, C beats D by 400 m. Speed of B is equal to that of D. (Assume that A, B, C and D run with uniform speed in all the events). If A and C participate in a race of 6000 m, then which one of the following is correct?
A.
A beats C by 250 m
B.
C beats A by 250 m
C.
A beats C by 115.38 m
D.
C beats A by 115.38 m
😑 View Answer Error
ANSWER :
C. A beats C by 115.38 m
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