List of top Questions asked in NIMCET- 2023

If the word IMPACT is coded as RNKZXG, then which of the following represents the code for the word DESCEND?
What is the name of the storage device that compensates the difference in rates of flow of data from one device to another?

If \[ \int x \sin x \sec^3 x \, dx = \frac{1}{2} \left[ f(x) \sec^2 x + g(x) \left( \frac{\tan x}{x} \right) \right] + c, \] \(\text{then which of the following is true?}\)
 

Hari invested an amount at a certain rate of interest on simple interest and he got 60% more amount after 8 years. If he invests Rs. 9600 at the same rate of interest on simple interest then find the total interest he would get after four years.
Which of the following numbers is the coefficient of \( x^{100} \) in the expansion of \[ \log_e \left( \frac{1 + x}{1 + x^2} \right), \text{where} |x| < 1? \]
Let \( a, b, c, d \) be non-zero numbers. If the point of intersection of the lines \[ 4ax + 2ay + c = 0 \text{and} 5bx + 2by + d = 0 \] lies in the fourth quadrant and is equidistant from the two, then the relation between \( a, b, c, d \) is
The maximum and minimum value represented in signed 16 bit 2's complement representations are

Let \( \mathbf{A} = 2\hat{i} + \hat{j} - 2\hat{k} \) and \( \mathbf{B} = \hat{i} + \hat{j} \). If \( \mathbf{C} \) is a vector such that \( |\mathbf{C} - \mathbf{A}| = 3 \) and the angle between \( \mathbf{A} \times \mathbf{B} \) and \( \mathbf{C} \) is \( 30^\circ \), then \( [(\mathbf{A} \times \mathbf{B}) \times \mathbf{C}] = 3 \), the value of \( \mathbf{A} \cdot \mathbf{C} \) is equal to:
 

Synonym for "Nonplussed" is
The locus of the mid-point of all chords of the parabola \( y^2 = 4x \) which are drawn through its vertex is:
A sum of money is distributed among four people P, Q, R, and S in the ratio 2 : 5 : 4 : 3. If Q gets Rs. 2000 more than S, then what will be the total amount?
Bag I contains 3 red, 4 black, and 3 white balls and Bag II contains 2 red, 5 black, and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball drawn is found to be black in colour. Then the probability that the transferred ball is red, is:
Between any two real roots of the equation \( e^x \sin x = 1 \), the equation \( e^x \cos x = -1 \) has:
Three persons A, B, and C are standing in queue. There are five persons between A and B and eight persons between B and C. If there are three persons ahead of C and 21 behind A, then what could be the minimum number of persons in the queue?
If \[ \prod_{i=1}^{n} \tan (\alpha_i) = 1 \forall \alpha_i \in \left[0, \frac{\pi}{2}\right] \text{where} i = 1, 2, 3, \dots, n. \] Then the maximum value of \[ \prod_{i=1}^{n} \sin (\alpha_i) \] is
A vessel contains total 95 litre mixture of milk & water in the ratio 15 : 4 respectively P litre of mixture taken out from the vessel and 18 litres water added in the remaining mixture, then the new ratio of milk to water becomes 3 : 2, find the value of P?

The negation of \( \sim S \vee ( \sim R \wedge S) \) \(\text{ is equivalent to}\)

A bulb in the staircase has two switches, one switch is at the ground floor and the other one is at the first floor. The bulb can be turned ON and also can be turned OFF by any of the switches irrespective of the state of the other switch. The logic of the switching of the bulb resembles:
For a group of 100 candidates, the mean and standard deviation of scores were found to be 40 and 15 respectively. Later on, it was found that the scores 25 and 35 were misread as 52 and 53 respectively. Then the corrected mean and standard deviation corresponding to the corrected figures are
Which of the following is true about Von Neumann architecture?
The range of values of \( \theta \) in the interval \( \left( 0, \pi \right) \) such that the points \( (3, 2) \) and \( (\cos \theta, \sin \theta) \) lie on the same sides of the line \( x + y - 1 = 0 \), is:
The equation of the tangent at any point of the curve \[ x = a \cos 2t, \, y = 2 \sqrt{2a} \sin t \, \text{with} \, m \, \text{as its slope is} \]
The perimeter of a triangle \( \triangle ABC \) is 6 times the arithmetic mean of the sines of its angles. If the side \( a \) is 1, then the angle \( A \) is:
If \( \mathbf{a} \) and \( \mathbf{b} \) are unit vectors such that \( 2\mathbf{a} + \mathbf{b} = 3 \), then which of the following statement is true?
Book : Publisher :: Film : ?