List of top Questions asked in NIMCET- 2023

What is the name of the storage device that compensates the difference in rates of flow of data from one device to another?
Which of the following reasons according to the passage provide material comforts to people in case of science?
Synonym for "Nonplussed" is
If DENMARK is coded as FCPKCPM, then code SINGAPORE of which option?
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?
Which of the following can be formed from "RECOMMENDATION" word letters?
Two friends A and B were standing at the diagonally opposite corners of a rectangular plot whose perimeter is 100m. A first walked x meters along the length of the plot towards East and then y meters towards the South. B walked x meters along the breadth towards North and then y meters towards West. At the end of their walks, A and B were standing at the diagonally opposite corners of a smaller rectangular plot whose perimeter is 40m. How much distance did A walk?
A point \( P \) in the first quadrant, lies on \( y^2 = 4ax \), \( a > 0 \), and keeps a distance of \( 5a \) units from its focus. Which of the following points lies on the locus of \( P \)?
Identify the next two numbers in the following sequence: 17, 20, 9, 12, 5, 6, 3, 2, ?, ?
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?

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

If 'E' stands for +, 'F' stands for –, 'M' stands for ×, 'N' stands for ÷, then 19 M 5 E 39 N 3 F 8 = ?
If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?
The coefficient of \( x^{50} \) in the expression of \[ (1 + x)^{1000} + 2x(1 + x)^{999} + 3x^2(1 + x)^{998} + \ldots + 1001x^{1000} \]
The sum of infinite terms of a decreasing GP is equal to the greatest value of the function \( f(x) = x^3 + 3x - 9 \) in the interval \([-2, 3]\), and the difference between the first two terms is \( f'(0) \). Then the common ratio of the GP is:
Consider the circuit shown below and find the minimum number of NAND gates required to design it.
If \(a\), \(b\), \(c\), and \(d\) are in HP and the arithmetic mean of \(ab\), \(bc\), and \(cd\) is 9, then which of the following is the value of \(ad\)?
The number of minterms in an n-variable truth table is:
Thirty-six vehicles are parked in a parking lot in a single row. After the first car, there is one scooter. After the second car, there are two scooters. After the third car, there are three scooters and so on. Work out the number of scooters in the second half row.
A can do a piece of work in 10 days and B can do a work in 20 days. After 4 days B left and C joins. Then A and C work together in 2 days. In how many days C alone can do the work?
Statements:
Statement I: At most teachers are boys.
Statement II: Some boys are students.
Conclusion:
I. Some teachers are students.
II. Some students are boys.
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:

Let A and B be sets. \[A \cap X = B \cap X = \varnothing \quad \text{and} \quad A \cup X = B \cup X \quad \text{for some set } X,\ \text{find the relation between } A \text{ and } B.\]
 

Let \( R \) be a reflexive relation on the finite set \( A \) having 10 elements and if \( m \) is the number of ordered pairs in \( R \), then
Fill the blanks with the most appropriate combination of options.
Further, to augment bond market liquidity, corporates need to be encouraged to __________ exiting bonds under the same International Securities Identification Number, to duly shore up floating __________.