NDA Mathematics 2019 Question Paper

If both $p$ and $q$ belong to the set $\{1,2,3,4\}$, then how many equations of the form $p{x}^2+qx+1=0$ will have real roots?

What is the value of $1-2+3-4+5-\cdots +101$?

If $A$, $B$ and $C$ are subsets of a given set, then which one of the following relations is not correct?

If the sum of first $n$ terms of a series is $(n+12)$, then what is its third term?

What is the value of $k$ for which the sum of the squares of the roots of $2x^2-2(k-2)x-(k+1)=0$ is minimum?

If the roots of the equation $a(b-c)x^2+b(c-a)x+c(a-b)=0$ are equal, then which one of the following is correct?

If $|x^2-3x+2|>x^2-3x+2$, then which one of the following is correct?

A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is $m$, and the sum of even terms of the GP is $n$, then what is its common ratio?

If a set $A$ contains 3 elements and another set $B$ contains 6 elements, then what is the minimum number of elements that $(A\cup B)$ can have?

What is the number of diagonals of an octagon?