List of top Mathematics Questions asked in J & K CET

The sum value of the series $ \frac{3}{4} +\frac{5}{36} +\frac{7}{144} +\frac{9}{400} + ...\infty $ is
$ \frac{sin\,60^{\circ}+i\,cos\,60^{\circ}}{cos\,15^{\circ}-i\,sin\,15^{\circ}}= $
Let $ P $ and $ Q $ be any two points on the curve $ x=acos\theta $ , $ y=bsin\theta $ , where $ a > \, b, 0 \le \,\theta
The sum of the common roots of the equations , $ {{x}^{3}}+2{{x}^{2}}-5x+2=0~ $ and $ {{x}^{3}}+\text{ }{{x}^{2}}-8x+4=0, $ is
The Boolean expression for the $XOR$ gate is
The sum of the coefficients of the polynomial $ {{(1+x+{{x}^{2}}-4{{x}^{3}})}^{2149}} $ is
The sum of two vectors $\vec{a}$ and $\vec{b}$ is a vector $\vec{c}$, such that $ |\vec{a}|=|\vec{b}|=|\vec{c}|=2. $ Then, the magnitude of $ \vec{a} -\vec {b} $ is equal to
The number of ways in which $5$ boys and $5$ girls can be seated for a photograph so that no two girls sit next to each other is
$ \sin \,\,{{47}^{o}}+\sin {{61}^{o}}-\sin {{11}^{o}}-\sin {{25}^{o}} $ is equal to
The probability that number selected at random from the number $1, 2, 3, 4, 5, 6, 7, 8, ..., 100$ is a prime, is