List of top Questions asked in NIMCET- 2026

Which protocol is used specifically by email client to read email from email server:

Cookies in context of web browsing:

For \(a \in \mathbb{R}\), consider the real valued function defined on \((-1,1)\): \[ f(x)= \begin{cases} \dfrac{(1+x)^{1/3}-(1+2x)^{1/4}}{x}, & x\neq0,\\ a,& x=0. \end{cases} \] If \(f\) is differentiable at \(x=0\), then value of \(a+f'(0)\) is:

Which about fetch decode execute cycle in CPU are correct? I. Program counter is incremented after each instruction is fetched so the CPU move to the next instruction. II. The Control Unit is responsible for fetching instruction and placing them in the instruction register. III. The ALU is responsible for decoding instruction and determining which operation to perform. IV. Register are used to permanently store operating system's files for fast access.

Binary multiplication of \(1100\) and \(1011\):

Which one of disadvantage of using dynamically linked library (DLL) compared to using statically linked library:

Consider the following statement about range of number in 9 bit 1's complement and 2's complement system. I. In 9 bits 1's complements the range is \(-255\) to \(+255\) and there exist two representations of zero. II. In 9 bits 2's complements the range is \(-256\) to \(+255\), both 1's complements and 2's complements can represent exactly \(512\) unique values. III. The maximum positive number representable is \(+255\) in both 1's complements and 2's complements 9 bit system. Options:

When navigating to website your computer send a request to server. If the server's IP address is not known which system is responsible for translating the human readable URL into machine readable IP address?

For a given sample the computed values of variance and fourth central moment are \(3\) and \(63\) respectively. Then underlying frequency distribution is classified as:

Coefficient of \(x^{10}\) in the expansion of \[ \left(x^2+\frac1x\right)^{12} + \left(x+\frac1{x^2}\right)^{12} \] is:

Define relation \(\sim\) on set \(\{1,2,\dots,10\}\) by \(a \sim b\) if \(a-2b\) is divisible by \(3\), then:

Let \((x_0,y_0)\in\mathbb Z^2\) be a point on straight line \(8x-3y=11\) which is equidistant from coordinate axes. Then point \((x_0,y_0)\) will lie only in:

\[ \lim_{x\to0} \frac{|x|\log_e(1+|\sin2x|)} {x^2(|x|+3)} \]

Which of the following equation represents common tangent to parabola \(y=-x^2\) and \(y=(x-2)^2\)?

\(x,y,z\) are positive real numbers such that \[ \sqrt{x+y}-3\sqrt{y+z}=2 \] and \[ 4x-5y-9z=8. \] Find \[ \sqrt{\frac{20x+38y+18z+1}{9z+9y+2}}. \]

Consider graph of function \(f(x)=2\cos\left(\frac{x}{2}\right)+3\), \(g(x)=4\). The number of points of intersection of two graphs in interval \([0,4\pi]\) is:

Let \(x-y\tan35^\circ=\tan25^\circ(y+x\tan35^\circ)\) for some \(x,y\in\mathbb{R}\). Then which of the following is true?

An engineer standing at point \(P\) wishes to determine the width of a rectangular pond. She finds distance to westernmost point \(A\) to be \(60\) m and distance to northernmost point \(B\) to be \(80\) m. If angle \(APB=60^\circ\), find \(AB\).

Let \(X\) and \(Y\) be two independent identically distributed Bernoulli random variables with \[ P(X=1)=\frac12, \qquad P(X=0)=\frac12. \] If \(Z=XY\), then distribution of \(Z\) is:

Find Mode

The distance (in meter) for 7 throws of a shotputter are \(14.5,15.2,16.8,17.1,15.9,16.3,14.7\). Calculate sample mean and sample standard deviation.

Which of the following is not same as \((A\Delta B)\cap C\)?

Given observations \[ 10,4,11,6,17,15,9,8,x \] and mean = mode = median. Find the value of \(x\).

\(BC=a,\; AC=b,\; AB=c\) are sides of \(\triangle ABC\) and \(\angle C\neq \frac{\pi}{2}\). Which of the following is not correct?

In a tuition batch of 2 students, the probability that \(X\) will pass the examination is \(\frac25\) and that of \(Y\) is \(\frac34\). Assuming independence, what is the probability that neither \(X\) nor \(Y\) will pass?