List of top Questions asked in NIMCET- 2023

Select the most appropriate preposition to fill in the blank. A baby sister is someone who looks \(\underline{\hspace{1cm}}\) other people's children.
Select the most appropriate preposition to fill in the blank.
We haven't been to Delhi \(\underline{\hspace{1cm}}\) almost five years.

If \[ \mathbf{a} = \hat{i} - \hat{k}, \mathbf{b} = x\hat{i} + \hat{j} + (1 - x)\hat{k}, \mathbf{c} = y\hat{i} + x\hat{j} + (1 + x - y)\hat{k}, \] \(\text{then }\) [\(\mathbf{a}\)  \(\mathbf{b}\)  \(\mathbf{c}\)] \(\text{ depends on:}\)
 

The graph of the function \( f(x) = \log_e \left( x^3 + \sqrt{x^6 + 1} \right) \) is symmetric about:
How many meaningful words can be formed with the first, the third, the seventh and the ninth letters of the word SEPERATION using each letter only once in each word?
A computer producing factory has only two plants \(T_1\) and \(T_2\). Plant \(T_1\) produces 20% and plant \(T_2\) produces 80% of total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that \( P(\text{computer turns out to be defective given that it is produced in plant } T_1) = 10P(\text{computer turns out to be defective given that it is produced in plant } T_2)\), where \( P(E) \) denotes the probability of an event \(E\). A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant \(T_2\) is
Given two events \( A \) and \( B \) such that the odds in favour of \( A \) are 2:1 and the odds in favour of \( A \cup B \) are 3:1. Consistent with this information, the smallest and largest value for the probability of event \( B \) are given by
In a reality show, two judges independently provided marks based on the performance of the participants. If the marks provided by the second judge are given by y = 1 + x, where x is the marks provided by the first judge. Then for a participant:
Rakesh says to Mahesh, "I am as old as you were when I was one-third as old as you are". If the sum of their ages is 60 years, find the present age of Mahesh (in years).
If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?
A 30 litres mixture of milk and water has 10% water. How much milk should be added so that the percentage of water in the mixture comes down to 2%?
A can do a piece of work in 10 days and B can do a work in 20 days. After 4 days B left and C joins. Then A and C work together in 2 days. In how many days C alone can do the work?
If \( x_k = \cos \left( \frac{2\pi k}{n} \right) + i \sin \left( \frac{2\pi k}{n} \right) \), then \[ \sum_{k=1}^{n} x_k = ? \]
The number of minterms in an \( n \) variable truth table is:
The reduced form of the Boolean function \( F = xyz + xyz' + x'yz + zy'z \) is

Consider the following Boolean expression for F: \( F(P, Q, R, S) = PQ + PQR + \overline{P}QR \). The minimum sum of products form of F is
 

Which of the following statements according to the passage is correct:
If a processor clock is rated as 2500 million cycles per second, then its clock period is

If the equation \[ |x^2 - 6x + 8| = a \] \(\text{has four real solutions, then find the value of \( a \):}\)
 

Which of the following registers is used to keep track of address of memory location where the next instruction is located?
A wrong sentence related to FAT 32 and NTFS file system is:

If \( n_1 \) and \( n_2 \) are the number of real valued solutions of \( x = |\sin^{-1} x| \) \(\text{and}\) \( x = \sin(x) \text{ respectively, then the value of} \, n_2 - n_1 \text{ is:}\)

If A and B are square matrices such that \( B = -A^{-1}BA \), \(\text{ then }\) \( (A + B)^2 \) is

Suppose we have a 10-bit computer that uses 10-bit floating-point computational unit (Flot number uses IEEE floating-point arithmetic where a floating point number has 1 sign bit, 5 exponent bits, and 4 fraction bits). The representation for \( +\infty \) (plus infinity) is:
A line segment AB of length 10 meters is passing through the foot of the perpendicular of a pillar, which is standing at right angle to the ground. The tip of the pillar subtends angles \( \tan^{-1}(3) \) and \( \tan^{-1}(2) \) at A and B respectively. Which of the following choices represents the height of the pillar?