List of top Questions asked in NIT MCA Common Entrance Test

The time required for fetching and execution of one machine instruction is
Consider the circuit shown below and find the minimum number of NAND gates required to design it.
If a processor clock is rated as 2500 million cycles per second, then its clock period is
Which of the following registers is used to keep track of address of memory location where the next instruction is located?
How many 32K \(\times\) 1 RAM chips are needed to provide a memory capacity of 256K bytes?
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
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?
The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are
If \( \csc\theta - \cot\theta = 2 \), then the value of \( \csc\theta \) is
Which term of the series \( \frac{\sqrt{3}}{9}, \frac{1}{3\sqrt{3}}, \frac{1}{9}, \ldots \) is \( \frac{1}{2187} \)?
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
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)

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

Select the pair of words, which are related in the same way as the capitalized words are related to each other. BUTTERFLY : FREEDOM
Select the pair of words, which are related in the same way as the capitalized words are related to each other. Frugal : Extravagant

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

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

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

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