List of top Mathematics Questions asked in IIT JAM BT

Consider a spherical epithelial cell (C1) of diameter \(20\ \mu m\) and a cubic shaped liver cell (C2) of side \(20\ \mu m\). The ratio of the surface areas of C1 : C2 is _ _ _. (round off to two decimal places)

The value of

In a geometric progression, the \(3^{rd}\) term is \(36\) and the \(5^{th}\) term is \(324\). The \(7^{th}\) term of the same progression will be _ _ _. (in integer)

Select the value(s) of \(x\) for which the determinants,

Which of the following is/are true for the data given below?

Consider the differential equation

Which one of the following is the correct graphical representation for functions, \(\sin(x)\) and \(\sin^2(x)\) for \(0\leq x\leq \pi\)?

The derivative of \(x\log_e(x)\) is

If \( y(x)=15\cos(x)-13\sin(x) \), then \( \dfrac{d^2y}{dx^2} \) will be