CDS Exam (II)- 2022 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (II)- 2022 - Elementary Mathematics

CDS Exam (II)- 2022 - Elementary Mathematics Defence Questions

41.
Consider the following for the next two (02) items that follow:
Consider the equation
\( 6x^{2} - 25x + \frac{6}{x^{2}} + \frac{25}{x} + 12 = 0 \).

What is one of the possible values of \( x - \frac{1}{x} \)?
A.
\( \frac{1}{2} \)
B.
\( \frac{3}{2} \)
C.
2
D.
\( \frac{5}{2} \)
😑 View Answer Error
ANSWER :
B. \( \frac{3}{2} \)
42.
What is one of the possible values of \( x^{2} + \frac{1}{x^{2}} \)?
A.
6
B.
\( \frac{62}{9} \)
C.
8
D.
\( \frac{82}{9} \)
😑 View Answer Error
ANSWER :
D. \( \frac{82}{9} \)
43.
Consider the following for the next three (03) items that follow:
A triangle ABC with sides AB = 15 cm, BC = 9 cm, CA = 12 cm is inscribed in a circle.

What is \( \cos^{2} A + \cos^{2} B + \cos^{2} C \) equal to?
A.
\( \frac{3}{4} \)
B.
1
C.
\( \frac{5}{4} \)
D.
2
😑 View Answer Error
ANSWER :
B. 1
44.
What is \( \sin^{2} A + \sin^{2} B + \sin^{2} C \) equal to?
A.
2
B.
\( \frac{5}{4} \)
C.
1
D.
\( \frac{3}{4} \)
😑 View Answer Error
ANSWER :
A. 2
45.
What is the radius of the circle?
A.
4.5 cm
B.
6 cm
C.
7.5 cm
D.
15 cm
😑 View Answer Error
ANSWER :
C. 7.5 cm
46.
Consider the following for the next two (02) items that follow:
The angle of elevation of a cloud at C from a point (P), H metres above the surface of a lake is \( 30^{\circ} \). The height of the cloud from the surface of the lake is 2H metres. Let \( \theta \) be the angle of depression of the reflection of the cloud in the lake from the point P.

What is the value of \( \theta \)?
A.
\( 30^{\circ} \)
B.
\( 45^{\circ} \)
C.
\( 60^{\circ} \)
D.
Cannot be determined due to insufficient data
😑 View Answer Error
ANSWER :
C. \( 60^{\circ} \)
47.
What is PC equal to?
A.
H metres
B.
\( \sqrt{2}H \) metres
C.
\( \sqrt{3}H \) metres
D.
2H metres
😑 View Answer Error
ANSWER :
D. 2H metres
48.

Consider the following for the next three (03) items that follow:
A frequency distribution table is given below:

x 0 1 2 3 4 5
f 46 p q 25 10 5

Total frequency is 200 and mean of the distribution is 1.46.

What is the value of p?

A.

70

B.

72

C.

76

D.

78

😑 View Answer Error
ANSWER :

C. 76

49.
What is the value of q?
A.
32
B.
34
C.
36
D.
38
😑 View Answer Error
ANSWER :
D. 38
50.
What is the median of the distribution?
A.
1
B.
2
C.
3
D.
4
😑 View Answer Error
ANSWER :
A. 1
Prev Next page