List of top Questions asked in NIT MCA Common Entrance Test

A four-digit number is formed using the digits 1, 2, 3, 4, 5 without repetition. The probability that is divisible by 3 is
If \( \vec{a} = \lambda\hat{i} + \hat{j} - 2\hat{k} \), \( \vec{b} = \hat{i} + \lambda\hat{j} - 2\hat{k} \), \( \vec{c} = \hat{i} + \hat{j} + \hat{k} \) and \( [\vec{a}\vec{b}\vec{c}] = 7 \), then the values of \( \lambda \) are
The mean of 25 observations was found to be 38. It was later discovered that 23 and 38 were misread as 25 and 36, then the mean is
If \( a_1, a_2, \ldots, a_n \) are in Arithmetic Progression with common difference d, then the sum \( (\sin d) (\csc a_1 \csc a_2 + \csc a_2 \csc a_3 + \dots + \csc a_{n-1} \csc a_n) \) is equal to
In a Harmonic Progression, pth term is q and the qth term is p. Then pqth term is
If the roots of the quadratic equation \( x^2 + px + q = 0 \) are tan 30\(^{\circ}\) and tan 15\(^{\circ}\) respectively, then the value of \( 2 + p - q \) is
Coordinate of focus of the parabola \(4y^2 + 12x - 20y + 67 = 0\) is
If \( \cos^{-1}\frac{x}{2} + \cos^{-1}\frac{y}{3} = \phi \), then \( 9x^2 - 12xy\cos\phi + 4y^2 \) is equal to
Today is Wednesday. What would be the day after 61 days?
Fill in the blank: HEC, JGE, LIG, NKI, \(\underline{\hspace{0cm}}\)
Choose the word opposite in meaning to the given word: MITIGATE
DNN, FQQ, HTT, \(\underline{\hspace{0cm}}\), LZZ
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?
Find out the wrong number in the FOLLOWING series. 2, 5, 10, 17, 26, 38, 50, 65
How many students from Institute B study Arts and Commerce? (Total Arts = 3800, Total Commerce = 4200)
Which drama is staged immediately after D?
Which drama is staged immediately after E?
A person's present age is two-fifth of the age of his mother. After 8 years, he will be onehalf of the age of his mother. What is the present age of the mother?
The maximum and minimum value represented in signed 16 bit 2's complement representations are
FFFF will be the last memory location in a memory of size

Fill in the blank with the most appropriate option. 

Kedar \(\underline{\hspace{1cm}}\) this project for a month and now he is about to join a new project.
 

Identify the word that is similar in meaning to the underlined word. 

Raghu made \(\underline{adulatory}\) remarks about the waiter who served the food.
 

Which of the phrase given below should replace the phrase printed in bold to make the sentence grammatically correct. 

He is addicted to smoke.
 

Inverse of the function \( f(x) = \frac{10^x - 10^{-x}}{10^x + 10^{-x}} \) is