CDS Exam (I)- 2015 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (I)- 2015 - Elementary Mathematics

CDS Exam (I)- 2015 - Elementary Mathematics Defence Questions

41.
If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?
A.
G is the geometric mean between A and H
B.
A is the arithmetic mean between G and H
C.
H is the harmonic mean between A and G
D.
None of the above
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ANSWER :
A. G is the geometric mean between A and H
42.
The geometric mean of three positive numbers a, b, c is 3 and the geometric mean of another three positive numbers d, e, f is 4. Also, at least three elements in the set {a, b, c, d, e, f} are distinct. Which one of the following inequalities gives the best information about M, the arithmetic mean of the six numbers?
A.
\( M > 2\sqrt{3} \)
B.
\( M > 3.5 \)
C.
\( M \geq 3.5 \)
D.
It is not possible to set any precise lower limit for M
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ANSWER :
B. \( M > 3.5 \)
43.
There are five parties A, B, C, D and E in an election. Out of total 100000 votes cast, 36000 were cast to party A, 24000 to party B, 18000 to party C, 7000 to party D and rest to party E. What angle will be allocated for party E in the pie chart?
A.
\( 15^{\circ} \)
B.
\( 54^{\circ} \)
C.
\( 60^{\circ} \)
D.
\( 72^{\circ} \)
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ANSWER :
B. \( 54^{\circ} \)
44.
Out of 532 savings accounts held in a post office, 218 accounts have deposits over ₹ 10,000 each. Further, in 302 accounts, the first or sole depositors are men, of which the deposits exceed ₹ 10,000 in 102 accounts. In how many accounts the first or sole depositors are women and the deposits are up to ₹ 10,000 only?
A.
116
B.
114
C.
100
D.
Cannot be determined from the given data
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ANSWER :
B. 114
45.
If \( x + y + z = 0 \), then \( x^{3} + y^{3} + z^{3} + 3xyz \) is equal to
A.
0
B.
\( 6xyz \)
C.
\( 12xyz \)
D.
\( xyz \)
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ANSWER :
B. \( 6xyz \)
46.
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the new sphere will be
A.
12 cm
B.
24 cm
C.
30 cm
D.
36 cm
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ANSWER :
B. 24 cm
47.
If each interior angle of a regular polygon is \( 135^{\circ} \), then the number of diagonals of the polygon is equal to
A.
54
B.
48
C.
20
D.
18
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ANSWER :
C. 20
48.
The sides of a triangular field are 41 m, 40 m and 9 m. The number of rose beds that can be prepared in the field if each rose bed, on an average, needs 900 square cm space, is
A.
2000
B.
1800
C.
900
D.
800
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ANSWER :
A. 2000
49.
The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 m wide, the diameter of the inner circle is
A.
55 m
B.
110 m
C.
220 m
D.
230 m
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ANSWER :
C. 220 m
50.
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by
A.
1.5 cm
B.
2 cm
C.
2.25 cm
D.
4.5 cm
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ANSWER :
C. 2.25 cm
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