List of top Mathematics Questions asked in NTA Abhyas

Suppose that the side lengths of a triangle are three consecutive integers and one of the angles is twice another. The number of such triangles is/are

The area bounded by the curves $\text{y} = \left(\text{x} - 1\right)^{2} \text{, } \text{y} = \left(\text{x} + 1\right)^{2}$ and $\text{y} = \frac{1}{4}$ is

The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is

If $5^{97}$ is divided by $52$ $,$ then the remainder obtained is

The number of discontinuity of the greatest integer function $f\left(x\right)=\left[x\right], \, x\in \left(- \frac{7}{2} , \, 100\right)$ is equal to

If $y=4x-5$ is tangent to the curve $y^{2}=px^{3}+q$ at $\left(\right.2, \, 3\left.\right)$ then $\left(\right.p,q\left.\right)$ is