CDS Elementary Mathematics 2024 Question Paper

If $a:b:c:d=\sqrt{4}:\sqrt{3}:\sqrt{2}:\sqrt{1}$, then what is the value of $\frac{-a^2+b^2+c^2+d^2}{a^2-b^2+c^2-d^2}$?

The speeds of four cars are $2u$, $3u$, $4u$ and $xu$ and the time taken by them to cover the same distance is $xt$, $4t$, $3t$ and $2t$ respectively, where $x$, $u$, $t$ are real numbers. What is the value of $x$?

If $m:n=1:2$ and $p:q=3:4$, then what is $(2m+4p):(n+3q)$ equal to?

If the rate of interest is 5%, then what would be the difference between compound interest and simple interest received on ₹ 10,000 (each) after 3 years from now?

A person bought a book at $\frac{3}{4}$th of its listed price and sold it at 50% more than its listed price. What is the percentage of gain in the transaction?

If the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon?

If the sum and product of the roots of a quadratic equation are 2 and −100 respectively, then which one of the following is correct?

If 2 is a zero of the polynomial $p(x)=x^3+3x^2-6x-a$, then what is the sum of the squares of the other zeros of the polynomial?

If $t=\cos 79°$, then what is $\csc 79°(1-\cos 79°)$ equal to?

Suppose $p(x)=x^4+a_3{x}^3+a_2{x}^2+a_{1}x+a_0$ and $q(x)=x^4+b_3{x}^3+b_2{x}^2+b_{1}x+b_0$. If $\alpha ,\beta ,\gamma ,\delta$ are zeros of $p(x)$ and $\alpha ,\beta ,\gamma ,\lambda$ are zeros of $q(x)$, then what is $\frac{p(x)-q(x)}{(x-\alpha )(x-\beta )(x-\gamma )}$ equal to?