List of top Questions asked in NIT MCA Common Entrance Test

A system uses a two-level paging scheme. If the logical address space is 32 bits, the page size is 4 KB, and the outer page table has 1024 entries, how many bits are used for the outer page number?
How many binary trees can be formed with 4 distinct nodes?
Which of the following is true for a natural join between two relations \( R(A, B) \) and \( S(B, C) \)?

Which of the following is not a characteristic of Object-Oriented Programming?

Six students scored different marks in an exam. A scored more than B but less than C. D scored more than E but less than B. F scored more than A but less than C. Who scored the third highest?
Which traversal of a binary tree gives the nodes in non-decreasing order if the tree is a Binary Search Tree?
In a paging system, the page table is stored in memory. If memory access time is 100 ns, what is the effective access time if one page table lookup is needed per access?
A cat climbs a 21-meter pole. In the first minute it climbs 3 meters and in the second minute it descends one meter. In how many minutes will the cat reach the top of the pole?
The mean of consecutive positive integers from 2 to \( n \) is:
Aryan bought 100 shares of a company at Rs. 50 per share. He paid a brokerage fee of 2% on the purchase. Later, he sold all the shares at Rs. 55 per share and paid a brokerage fee of 2% on the sale. What is Aryan's net profit percentage on his investment?
The value of the limit \[ \lim_{x \to 0} \left( \frac{1^x + 2^x + 3^x + 4^x}{4} \right)^{\frac{1}{x}} \] is:
How much work is done to slide a crate for a distance of 25 m along a loading dock by pulling on it with a 180 N force where the dock is at an angle of \(45^\circ\) from the horizontal?
Consider the function \( f(x) = x^{2/3} \cdot (6 - x)^{1/3} \). Which of the following statements is false?
At how many points do the following curves intersect: \[ \frac{y^2}{9} - \frac{x^2}{16} = 1 \quad {and} \quad \frac{x^2}{4} + \frac{(y - 4)^2}{16} = 1 \]
The value of \( f(1) \) for \( f \left( \frac{1-x}{1 + x} \right) = x + 2 \) is:
Among the given numbers below, the smallest number which will be divided by 9, 10, 15 and 20 and leaves the remainders 4, 5, 10 and 15, respectively, is:
If \( (4, 3) \) and \( (12, 5) \) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is:
The number of one-one functions \( f: \{1, 2, 3\} \to \{a, b, c, d, e\} \) is:
The value of \( \tan\left(\frac{\pi}{4} + \theta\right) \times \tan\left(\frac{3\pi}{4} + \theta\right) \) is:
The value of \( \Sigma_{r=1}^{n} \frac{1}{2^n nPr r!} \) is:
If three distinct numbers are chosen randomly, three of them are divisible by both 2 and 3 from the first 100 natural numbers, then the probability that all three are divisible by both 2 and 3 is:
If \( f(x) = \cos([\pi^2] \cdot x) + \cos([-\pi^2] \cdot x) \), where \([ \cdot ]\) denotes the greatest integer function, then \( f\left(\frac{\pi}{2}\right) = \)
If for non-zero \(x\), \( cf(x) + df\left(\frac{1}{x}\right) = |\log |x|| + 3 \), where \( c \neq d \), then \( \int_1^c f(x)\,dx = \):
Find the cardinality of the set \( C \) which is defined as \( C = \{ x \mid \sin(4x) = \frac{1}{2} \text{ for } x \in (-9\pi, 3\pi) \} \):
The number of distinct values of \(a\) for which the vectors \( \lambda^2 \hat{i} + \hat{j} + \hat{k} \), \( \hat{i} + \lambda^2 \hat{j} + \hat{k} \), and \( \hat{i} + \hat{j} + \lambda^2 \hat{k} \) are coplanar is: