CDS 2 2026 Maths Question Paper (13-Sep-2026)

Question 1

Two positive integers $x$ and $y$ are in the ratio $17 : 19$. If the LCM of the two numbers is $1615$, then what is $(x + y)$ equal to?

Accepted Answer

$180$

Answer

$36$

Answer

$360$

Answer

Cannot be determined due to insufficient data

Question 2

If $\dfrac{p}{q} = \dfrac{q}{r} = \dfrac{r}{s} = k$, then what is $\dfrac{p^3+q^3+r^3}{q^3+r^3+s^3}$ equal to?

Accepted Answer

$\dfrac{p}{s}$

Answer

$\dfrac{r}{q}$

Answer

$\dfrac{s}{p}$

Answer

$\dfrac{q}{r}$

Question 3

If $x^2 - 4x + 3$ is a factor of $x^4 + px^2 + q$, then what is $(p - q)$ equal to?

Accepted Answer

$-19$

Answer

$-17$

Answer

$17$

Answer

$19$

Question 4

Suppose $p$ and $q$ are positive integers where $q$ is not a perfect square. If $\dfrac{1}{p+\sqrt{q}}$ is a root of a quadratic equation having integer coefficients, then which of the following statements is/are correct?I. The sum of the roots is $2p$ times the product of the roots.II. The sum of the reciprocals of the roots is equal to $2p$.Select the answer using the code given below:

Accepted Answer

Both I and II

Answer

I only

Answer

II only

Answer

Neither I nor II

Question 5

If $\dfrac{1}{2b+2c}+\dfrac{1}{2c+2a}=\dfrac{1}{a+b}$, then what is $a^2+b^2+c^2$ equal to?

Accepted Answer

$3c^2$

Answer

$9c^2$

Answer

$4c^2$

Answer

$2c^2$

CDS 2 2026 Maths Question Paper (13-Sep-2026)

UPSC CDS 2026 Mock Test Series

CDS Mock Test Series