List of top Questions asked in NIMCET- 2026

A train crosses Park Street every forty-five minutes. About 15 minutes ago, one train has crossed Park Street, and the next train will be crossing Park Street by 9.45 am. What is the time now?

Pointing to a woman, Arun says: She is the daughter of my father's only son. How is the woman related to Arun?

Which of the following is a difference between POP3 and IMAP?

What is the synonym of Anthropogenic?

Match the words in Column I with the most appropriate words in Column II.

In a certain code language, FALSE is written as 6, 1, 12, 19, 5 which represents the alphabetical positions of its letters. How will LOGIC be written in that code language?

In a certain code language, INDIA \(\rightarrow\) JLGEF. Then how will ROME be written in that code language?

The sum of four numbers A, B, C, and D is 10,600. Without A, the average of B, C, and D is 1,000. Without B, the average of A, C, and D is 3,220. Without C, the average of A, B, and D is 3,180. Find the value of D.

The sum of x, y, and z is 98. The ratio of x : y = 2 : 3, and the ratio of y : z = 5 : 8. What is the value of y?

Find the missing number (?) in the following pattern:

Find the next term in the following sequence: \[ 28,\;327,\;464,\;5125,\;? \]

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

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

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:

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 \(AB\).

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

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?

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

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

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.

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

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

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:

Segments of lines \[ 2x+3y=1 \] and \[ 4x-3y=11 \] are diameters of a circle of area \(153.94\) square units. Then the equation of circle with integer radius is:

Let \(f:[0,\infty)\to\mathbb{R}\) be defined by \[ f(x)=\frac{3x^2+4x+1}{x^2+3x+2}. \] Then the value of \((f^{-1})'(2)\) is: