CDS II 2016 Elementary Mathematics Previous Year Paper (23-Oct-2016)

Question 1

What is the solution of ${\rm{lo}}{{\rm{g}}_{10}}{[1 - {\{ 1 - {\left( {1 - {\rm{\;}}{{\rm{x}}^2}} \right)^{ - 1}}\} ^{ - 1{\rm{\;}}}}]^{ - \frac{1}{2}}} = 1{\rm{\;}}?$

Accepted Answer

x = 10

Answer

x = 100

Answer

x = 1

Answer

x = 0

Question 2

If &lambda; is an integer and &alpha;, &beta; are the roots of 4x 2&ndash; 16x + &lambda;/4 = 0 such that 1 < &alpha; < 2 and 2 < &beta; < 3, then how many values can &lambda; take?

Accepted Answer

15

Answer

3

Answer

9

Answer

14

Question 3

What is $\frac{{{6^2} + \;{7^2} + \;{8^2} + \;{9^2} + \;{{10}^2}}}{{\sqrt {7\; + \;4\sqrt 3 \;} - \;\sqrt {4\; + \;2\sqrt 3 } }}$ equal to?

Accepted Answer

330

Answer

340

Answer

355

Answer

366

Question 4

If x 2= y + z, y 2= z + x and z 2= x + y, then what is the value of $\frac{1}{{x\; + \;1}} + \frac{1}{{y\; + \;1\;}} + \frac{1}{{z\; + \;1}}\;?$

Accepted Answer

1

Answer

-1

Answer

2

Answer

4

Question 5

What would be the maximum value of Q in the equation 5P9 + 3R7 + 2Q8 = 1114?

Accepted Answer

9

Answer

8

Answer

5

Answer

4

CDS II 2016 Elementary Mathematics Previous Year Paper (23-Oct-2016)

UPSC CDS 2026 Mock Test Series

CDS Mock Test Series