List of top Questions asked in NIMCET- 2022

If \( \csc\theta - \cot\theta = 2 \), then the value of \( \csc\theta \) is
The first three moments of a distribution about 2 are 1, 16, -40 respectively. The mean and variance of the distribution are
If \( \alpha, \beta \) are the roots of \( x^2 - x - 1 = 0 \), and \( A_n = \alpha^n + \beta^n \), then Arithmetic mean of \( A_{n-1} \) and \( A_n \) is

If \( x^m y^n = (x+y)^{m+n} \), then \( \frac{dy}{dx} \) is
 

The value of \( 3^{3-\log_3 5} \) is

If \( (\vec{a} \times \vec{b}) \times \vec{c} = \vec{a} \times (\vec{b} \times \vec{c}) \), then
 

In the following figure, find the total number of squares.

Which of the following diagrams correctly represents lions, elephants and animals?

Find the synonym that is most nearly similar in meaning to the word: DEBACLE
What is the total number of students studying Arts in Institutes A and G together? (Total Arts = 3800)
The ratio of the number of students studying Arts to that studying commerce in Institute E is. (Total Arts = 3800, Total Commerce = 4200)
Statement: There is a significant increase in the number of patients affected by some disease in a city. Course of action:
I. Municipal Corporation of the city should take immediate action.
II. This problem should be raised in the UNESCO.
III. Hospitals in the city should be equipped properly for the treatment of the patients
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is
Suppose the largest n bit number requires 'd' digits in decimal representation. Which of the following relations between 'n' and 'd' is approximately correct?
If a processor clock is rated as 2500 million cycles per second, then its clock period is:

Write the simplified form of the Boolean expression \( (A + C)(AD + AD') + AC + C \):

'Floating point representation' is used to represent
The Boolean expression \( AB+ A\bar{B} + \bar{A}C + AC \) is unaffected by the value of the Boolean variable
If a signal passing through a gate is inhibited by sending a low into one of the inputs, and the output is HIGH, the gate is a(n):
Select an antonym for the word 'augment' from the options given below:

Select the one which best expresses the same sentence in indirect/direct speech: 

He said, "I am glad to be here this evening."
 

Fill in the blanks with the correct preposition. Jagdish is waiting for me \(\underline{\hspace{1cm}}\) the campus.
 

Fill in the blank. Neither Peter nor I \(\underline{\hspace{1cm}}\) responsible for this blunder
 

The correct expression for \( \cos^{-1}(-x) \) is