List of top Questions asked in NIT MCA Common Entrance Test

Statement: There is a significant increase in the number of patients affected by some disease in a city. Course of action:
I. Municipal Corporation of the city should take immediate action.
II. This problem should be raised in the UNESCO.
III. Hospitals in the city should be equipped properly for the treatment of the patients
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is
Suppose the largest n bit number requires 'd' digits in decimal representation. Which of the following relations between 'n' and 'd' is approximately correct?
If a processor clock is rated as 2500 million cycles per second, then its clock period is:

Write the simplified form of the Boolean expression \( (A + C)(AD + AD') + AC + C \):

'Floating point representation' is used to represent
The Boolean expression \( AB+ A\bar{B} + \bar{A}C + AC \) is unaffected by the value of the Boolean variable
If a signal passing through a gate is inhibited by sending a low into one of the inputs, and the output is HIGH, the gate is a(n):
What can you call a person who leads an unconventional style of living?
Select an antonym for the word 'augment' from the options given below:

Select the word which means the same as the following: 

To read something carefully
 

Select the one which best expresses the same sentence in indirect/direct speech: 

He said, "I am glad to be here this evening."
 

Fill in the blanks with the correct preposition. Jagdish is waiting for me \(\underline{\hspace{1cm}}\) the campus.
 

Fill in the blank. Neither Peter nor I \(\underline{\hspace{1cm}}\) responsible for this blunder
 

The correct expression for \( \cos^{-1}(-x) \) is
If the foci of the ellipse \( \frac{x^2}{25} + \frac{y^2}{b^2} = 1 \) and the hyperbola \( \frac{x^2}{144} - \frac{y^2}{81} = \frac{1}{25} \) are coincide, then the value of \( b^2 \) is
A particle is at rest at the origin. It moves along the x -axis with an acceleration \( x - x^2 \), where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance

The domain of the function \( f(x) = \frac{\cos^{-1}x}{[x]} \) is
 

Let a be the distance between the lines \( -2x + y = 2 \) and \( 2x - y = 2 \), and b be the distance between the lines \( 4x - 3y = 5 \) and \( 6y - 8x = 1 \), then
The solutions of the equation \( 4\cos^2x + 6\sin^2x = 5 \) are

The function \( f(x) = \begin{cases} (1+2x)^{1/x}, & x \neq 0 \\ e^2, & x=0 \end{cases} \) is
 

A survey is done among a population of 200 people who like either tea or coffee. It is found that 60% of the population like tea and 72% of the population like coffee. Let x be the number of people who like both tea & coffee. Let \( m \leq x \leq n \), then choose the correct option.
The value of \( \cot(\csc^{-1}\frac{5}{3} + \tan^{-1}\frac{2}{3}) \) is

If \( D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 2+x & 1 \\ 1 & 1 & 2+y \end{vmatrix} \) for \( x \neq 0, y \neq 0 \), then D is