List of top Mathematics Questions asked in IIT JAM BT

Using the letters in the word TRICK a new word containing five distinct letters is formed such that T appears in the middle. The number of distinct arrangements is .............
The positive root of the equation $x^4 + x^2 - 2 = 0$ is ...........
$\displaystyle \int_{0}^{1} x\,dx + \int_{1}^{2} (2-x)\,dx = ...........$
Which of the following point(s) lies(lie) on the plane $2x + 3y + z = 6$?
If one of the diameters of a circle has end points $(2,0)$ and $(4,0)$, then the equation of that circle is
If $P = \{1, 2, -1, 3\}$, $Q = \{0, 4, 1, 3\}$ and $R = \{1, 6, 7\}$, then $P \cap (Q \cup R)$ =
If $u(x)$ and $v(x)$ are differentiable at $x=0$, and if $u(0)=5$, $u'(0) = -3$, $v(0) = -1$ and $v'(0) = 2$, then the value of $\dfrac{d}{dx}\left(uv + \frac{u}{v}\right)$ at $x = 0$ is
Two dice are thrown simultaneously. The probability that the sum of the numbers obtained is divisible by 7 is
cos(x + yx) =