List of top Questions asked in NIMCET- 2026

A researcher found that 70% of people who own a cat also own a dog, but only 20% of dog owners also own a cat. If there are 1,001 dog owners, how many cat owners are there?

Find the value of determinant at \(x=2026\): \[ \begin{vmatrix} x & x+1 & x+3\\ x+1 & x+3 & x+6\\ x+3 & x+6 & x+10 \end{vmatrix} \]

The average weight of 24 students in a class is 52 kg. If the weight of the teacher is added, the average increases by 1 kg. Find the weight of the teacher.

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:

Fetch - Decode - Execute cycle of CPU is called?

Runs scored by Sachin in a charity match are 10 more than the balls faced by Lara. The number of balls faced by Sachin is 5 less than the runs scored by Lara. Together, they have scored 105 runs and Sachin faced 10 balls less than the balls faced by Lara. How many runs were scored by Sachin?

If the equation \(\cos^4\theta+\sin^4\theta+\lambda=0\) has real solutions, then \(\lambda\) lies in which interval?

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

Suppose the price of liquefied petroleum gas (LPG) increases by 16%, by how much percentage should the consumption of LPG be reduced by the household in order to keep the expenditure on LPG at the same level? (Rounded to two decimals)

RAM consists of 16GB, there are 100 processes, each process is on an average of 100MB each. Will virtual RAM be necessary?

The sum of X, Y, W, and Z is 84. The sum of Y, W, and Z is three times X. The sum of X, W, and Z is 320% of Y. W is 20% of the sum of X, Y, and Z. Find the value of Z.

In a school, 70 play only hockey, 100 play only football, 30 play both the games. 150 do not play anything at all. What is the percentage (rounded to two decimals) of hockey players to total students in the school?

Let \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=|x+1|e^{-x^2}\), then which of the following option is true?

A survey is done among 200 people. 60% like tea and 72% like coffee. Let \(x\) be the number who like both. Let \(m\le x\le n\). Find the correct option.

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?

Overflow occurs when:

IEEE 754 single precision uses:

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:

Arun pointed to a woman and said: "She is the daughter of my father's only son." What is the woman's relation to Arun?

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:

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.

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

Mira's mother-in-law's mother is my grandmother. All my mother's offsprings are unmarried till date. Based on this, which of the following is true?

Which component of web browser is responsible for taking HTML, CSS, JavaScript code and turning it into visual page you interact with?

Consider the sequence: 72, 69, 66, ---. The numbers continue in the same pattern as long as they remain positive. What will be the maximum possible sum of the terms of this sequence?