CDS 1 2026 Maths Question Paper (12-Apr-2026)

Question 1

If $p+q+r=0$, then what is$\frac{p^2}{Z^{qr}} \times \frac{q^2}{Z^{rp}} \times \frac{r^2}{Z^{pq}}$ equal to ?

Accepted Answer

$z^3$

Answer

1

Answer

$z$

Answer

$z^2$

Question 2

What is the value of $k$ for which $(k^2-5k+4)x^2+(k^2-3k-4)x+(k^2-4k)=0$ is an identity ?

Accepted Answer

4

Answer

-1

Answer

0

Answer

1

Question 3

If $\frac{a^2}{b^2+c^2}=\frac{b^2}{c^2+a^2}=\frac{c^2}{a^2+b^2}$, then what is the value of $a^4+b^4+c^4$ equal to ?

Accepted Answer

$a^2b^2+b^2c^2+c^2a^2$

Answer

$3(a^2b^2+b^2c^2+c^2a^2)$

Answer

$2(a^2b^2+b^2c^2+c^2a^2)$

Answer

$4(a^2b^2+b^2c^2+c^2a^2)$

Question 4

If $\frac{1}{x}=\frac{1}{p}+\frac{1}{q}$, then what is $\frac{pq}{p^2-q^2}\left(\frac{x+p}{x-p}-\frac{x+q}{x-q}\right)$ equal to ?

Accepted Answer

2

Answer

-1

Answer

1

Answer

-2

Question 5

Let $P=5^5 \times 15^{15} \times 25^{25} \times 35^{35}$ and $Q=10^{10} \times 20^{20} \times 30^{30} \times 40^{40}$. What is the number of consecutive zeros at the end of the sum $(P+Q)$ ?

Accepted Answer

Zero

Answer

100

Answer

50

Answer

65

CDS 1 2026 Maths Question Paper (12-Apr-2026)

UPSC CDS 2026 Mock Test Series

CDS Mock Test Series