List of top Questions asked in NIMCET

Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest? I. Rahul is heavier than Deepak and Vinod, but lighter than Manoj. II. Deepak is lighter than Rahul and Manoj, but heavier than Vinod.
If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that code?
Suppose the largest n bit number requires 'd' digits in decimal representation. Which of the following relations between 'n' and 'd' is approximately correct?
'Floating point representation' is used to represent
If \( \csc\theta - \cot\theta = 2 \), then the value of \( \csc\theta \) is
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?
What is the total number of students studying Arts in Institutes A and G together? (Total Arts = 3800)

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

The ratio of the number of students studying Arts to that studying commerce in Institute E is. (Total Arts = 3800, Total Commerce = 4200)

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

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

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

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
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is
The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are

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

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 first three moments of a distribution about 2 are 1, 16, -40 respectively. The mean and variance of the distribution are

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

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

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

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

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

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