List of top Questions asked in NIMCET

Which drama is staged immediately after D?
Which drama is staged immediately after E?
If \( \vec{a} = \lambda\hat{i} + \hat{j} - 2\hat{k} \), \( \vec{b} = \hat{i} + \lambda\hat{j} - 2\hat{k} \), \( \vec{c} = \hat{i} + \hat{j} + \hat{k} \) and \( [\vec{a}\vec{b}\vec{c}] = 7 \), then the values of \( \lambda \) are
A particle is at rest at the origin. It moves along the x -axis with an acceleration \( x - x^2 \), where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance

The function \( f(x) = \begin{cases} (1+2x)^{1/x}, & x \neq 0 \\ e^2, & x=0 \end{cases} \) is
 

A four-digit number is formed using the digits 1, 2, 3, 4, 5 without repetition. The probability that is divisible by 3 is

Inverse of the function \( f(x) = \frac{10^x - 10^{-x}}{10^x + 10^{-x}} \) is
 

Which of the following is the odd one from the given alternatives?

Fill in the blank: JAK, KBL, LCM, MDN, \(\underline{\hspace{1cm}}\)
 

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
 

The minimum number of NAND gates required for implementing the Boolean expression, \( AB + ABC + AB\bar{C} \) is:
Choose the synonym. LIBERAL

Fill in the banks with the correct option. 

Technical writing demands \(\underline{\hspace{1cm}}\) use of language.
 

Choose the correct alternative with the correct choice given below each statement: 

You are to conform \(\underline{\hspace{1cm}}\) the rules of the institute.
 

The passage states all the following about VR applications except
If \( a_1, a_2, \ldots, a_n \) are any real numbers and n is any positive integer, then
If \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \) (\( a > b \)) and \( x^2 - y^2 = c^2 \) cut at right angles, then
A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equation is
Find out the wrong number in the FOLLOWING series. 30, -5, -45, -90, -145, -195, -255
If the angle of elevation of the top of a hill from each of the vertices A, B and C of a horizontal triangle is \( \alpha \), then the height of the hill is
Let \( \vec{a} = 2\hat{i} + 2\hat{j} + \hat{k} \) and \( \vec{b} \) be another vector such that \( \vec{a} \cdot \vec{b} = 14 \) and \( \vec{a} \times \vec{b} = 3\hat{i} + \hat{j} - 8\hat{k} \). The vector \( \vec{b} \) is
If \( a < b \), then \( \int_a^b (|x-a| + |x-b|) dx \) is equal to
Which of the following is NOT true?
\( f(x) = x + |x| \) is continuous for

The value of \( \int \frac{(x^2-1)dx}{x^3\sqrt{2x^4 - 2x^2 + 1}} \) is