List of top Questions asked in NIMCET- 2022

What is the total number of students studying Arts in Institutes A and G together? (Total Arts = 3800)
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

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

Find the synonym that is most nearly similar in meaning to the word: DEBACLE

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

The value of \( 3^{3-\log_3 5} \) is
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
Which term of the series \( \frac{\sqrt{3}}{9}, \frac{1}{3\sqrt{3}}, \frac{1}{9}, \ldots \) is \( \frac{1}{2187} \)?
If a processor clock is rated as 2500 million cycles per second, then its clock period is:
Select the pair of words, which are related in the same way as the capitalized words are related to each other. Frugal : Extravagant

Replace the question mark with an appropriate image to complete the analogous pair.

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

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

Statements: All young scientists are open-minded. No open-minded men are superstitious. Conclusions: I. No scientist is superstitious. II. No young people are superstitious.
If \( \csc\theta - \cot\theta = 2 \), then the value of \( \csc\theta \) is
The ratio of the number of students studying Arts to that studying commerce in Institute E is. (Total Arts = 3800, Total Commerce = 4200)
There are two sets A and B with \( |A| = m \) and \( |B| = n \). If \( |P(A)| - |P(B)| = 112 \) then choose the wrong option (where \( |A| \) denotes the cardinality of A, and P(A) denotes the power set of A)
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?
Suppose that the temperature at a point (x, y) on a metal plate is \( T(x, y) = 4x^2 - 4xy + y^2 \). An ant, walking on the plate, traverses a circle of radius 5 centered at the origin. What is the highest temperature encountered by the ant?
Suppose the largest n bit number requires 'd' digits in decimal representation. Which of the following relations between 'n' and 'd' is approximately correct?
Select the pair of words, which are related in the same way as the capitalized words are related to each other. BUTTERFLY : FREEDOM
The first three moments of a distribution about 2 are 1, 16, -40 respectively. The mean and variance of the distribution are
Let a, b, c be distinct non-negative numbers. If the vectors \( a\hat{i} + a\hat{j} + c\hat{k} \), \( \hat{i} + \hat{k} \) and \( c\hat{i} + c\hat{j} + b\hat{k} \) lie in a plane, then c is
The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively 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