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

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

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

41.
If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is the surface area of each small sphere?
A.
\( \pi \) cm2
B.
\( 2\pi \) cm2
C.
\( 4\pi \) cm2
D.
\( 8\pi \) cm2
😑 View Answer Error
ANSWER :
C. \( 4\pi \) cm2
42.
AB and CD are two diameters of a circle of radius r and they are mutually perpendicular. What is the ratio of the area of the circle to the area of the triangle ACD?
A.
\( \frac{\pi}{2} \)
B.
\( \pi \)
C.
\( \frac{\pi}{4} \)
D.
\( 2\pi \)
😑 View Answer Error
ANSWER :
B. \( \pi \)
43.
A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is
A.
\( 2.5\sqrt{3} \) cm
B.
\( 5\sqrt{3} \) cm
C.
\( 10\sqrt{3} \) cm
D.
None of the above
😑 View Answer Error
ANSWER :
D. None of the above
44.
The dimensions of a field are 15 m by 12 m. A pit 8 m long, 2.5 m wide and 2 m deep is dug in one corner of the field and the earth removed is evenly spread over the remaining area of the field. The level of the field is raised by
A.
15 cm
B.
20 cm
C.
25 cm
D.
\( \frac{200}{3} \) cm
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ANSWER :
C. 25 cm
45.
The sides of a right-angled triangle are equal to three consecutive numbers expressed in centimeters. What can be the area of such a triangle?
A.
6 cm2
B.
8 cm2
C.
10 cm2
D.
12 cm2
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ANSWER :
A. 6 cm2
46.
How many circular plates of diameter d can be taken out of a square plate of side 2d with minimum loss of material?
A.
8
B.
6
C.
4
D.
2
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ANSWER :
C. 4
47.
The volume of a hollow cube is \( 216x^{3} \). The surface area of the largest sphere which can be enclosed in it is
A.
\( 18\pi x^{2} \)
B.
\( 27\pi x^{2} \)
C.
\( 36\pi x^{2} \)
D.
\( 72\pi x^{2} \)
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ANSWER :
C. \( 36\pi x^{2} \)
48.
What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 square cm?
A.
14 cm
B.
10.5 cm
C.
7 cm
D.
3.5 cm
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ANSWER :
A. 14 cm
49.
What is the total area of three equilateral triangles inscribed in a semicircle of radius 2 cm?
A.
12 cm2
B.
\( \frac{3\sqrt{3}}{4} \) cm2
C.
\( \frac{9\sqrt{3}}{4} \) cm2
D.
\( 3\sqrt{3} \) cm2
😑 View Answer Error
ANSWER :
D. \( 3\sqrt{3} \) cm2
50.
In a trapezium, the two non-parallel sides are equal in length, each being of 5 units. The parallel sides are at a distance of 3 units apart. If the smaller side of the parallel sides is of length 2 units, then the sum of the diagonals of the trapezium is
A.
\( 10\sqrt{5} \) units
B.
\( 6\sqrt{5} \) units
C.
\( 5\sqrt{5} \) units
D.
\( 3\sqrt{5} \) units
😑 View Answer Error
ANSWER :
B. \( 6\sqrt{5} \) units
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