CDS Exam (I)- 2020 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (I)- 2020 - Elementary Mathematics

CDS Exam (I)- 2020 - Elementary Mathematics Defence Questions

11.
A two-digit number is 9 more than four times of the number obtained by interchanging its digits. If the product of digits in the two-digit number is 8, then what is the number?
A.
81
B.
42
C.
24
D.
18
😑 View Answer Error
ANSWER :
A. 81
12.
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^{2} + kx - 15 = 0 \) such that \( \alpha - \beta = 8 \), then what is the positive value of \( k \)?
A.
2
B.
3
C.
4
D.
5
😑 View Answer Error
ANSWER :
A. 2
13.
What are the values of \( p \) and \( q \) respectively, if \( (x - 1) \) and \( (x + 2) \) divide the polynomial \( x^{3} + 4x^{2} + px + q \)?
A.
1, −6
B.
2, −6
C.
1, 6
D.
2, 6
😑 View Answer Error
ANSWER :
A. 1, −6
14.
If \( (x + k) \) is the HCF of \( x^{2} + 5x + 6 \) and \( x^{2} + 8x + 15 \), then what is the value of \( k \)?
A.
5
B.
3
C.
2
D.
1
😑 View Answer Error
ANSWER :
B. 3
15.
If \( 5^{x+1} - 5^{x-1} = 600 \), then what is the value of \( 10^{2x} \)?
A.
1
B.
1000
C.
100000
D.
1000000
😑 View Answer Error
ANSWER :
D. 1000000
16.
A number divides 12288, 28200 and 44333 so as to leave the same remainder in each case. What is that number?
A.
272
B.
232
C.
221
D.
120
😑 View Answer Error
ANSWER :
C. 221
17.
If \( x^{2} + 9y^{2} = 6xy \), then what is \( y : x \) equal to?
A.
1 : 3
B.
1 : 2
C.
2 : 1
D.
3 : 1
😑 View Answer Error
ANSWER :
A. 1 : 3
18.
If \( m \) and \( n \) are positive integers such that \( m^{n} = 1331 \), then what is the value of \( (m - 1)^{n-1} \)?
A.
10
B.
100
C.
121
D.
125
😑 View Answer Error
ANSWER :
B. 100
19.
What is \( \frac{1}{a^{m-n} - 1} + \frac{1}{a^{n-m} - 1} \) equal to?
A.
1
B.
−1
C.
0
D.
\( 2a^{m-n} \)
😑 View Answer Error
ANSWER :
B. −1
20.
If \( x = \sqrt{2}, y = \sqrt[3]{3} \) and \( z = \sqrt[6]{6} \), then which one of the following is correct?
A.
\( y < x < z \)
B.
\( z < x < y \)
C.
\( z < y < x \)
D.
\( x < y < z \)
😑 View Answer Error
ANSWER :
B. \( z < x < y \)
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