List of top Questions asked in NIT MCA Common Entrance Test

If \( a < b \), then \( \int_a^b (|x-a| + |x-b|) dx \) is equal to
Let \( \vec{a} = 2\hat{i} + 2\hat{j} + \hat{k} \) and \( \vec{b} \) be another vector such that \( \vec{a} \cdot \vec{b} = 14 \) and \( \vec{a} \times \vec{b} = 3\hat{i} + \hat{j} - 8\hat{k} \). The vector \( \vec{b} \) is
Which of the following is NOT true?
\( f(x) = x + |x| \) is continuous for
If \( a_1, a_2, \ldots, a_n \) are any real numbers and n is any positive integer, then
If \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \) (\( a > b \)) and \( x^2 - y^2 = c^2 \) cut at right angles, then
A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equation is

The value of \( \int \frac{(x^2-1)dx}{x^3\sqrt{2x^4 - 2x^2 + 1}} \) is
 

If the angle of elevation of the top of a hill from each of the vertices A, B and C of a horizontal triangle is \( \alpha \), then the height of the hill is
Which of the following is the odd one from the given alternatives?

Fill in the blank: JAK, KBL, LCM, MDN, \(\underline{\hspace{1cm}}\)
 

Select the related word from the given alternatives. MELT : LIQUID : : FREEZE : ?
Looking at the portrait of a man, Manu said, "Her mother is the wife of my father's son and I have no brother and sister." Whose portrait was Manu looking at?
Identify the sixth number in the series: 6, 11, 21, 36, 56, ?
Statements: All mangoes are golden in colour. No golden-coloured things are cheap. Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.
Find out the wrong number in the FOLLOWING series. 30, -5, -45, -90, -145, -195, -255

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
 

The minimum number of NAND gates required for implementing the Boolean expression, \( AB + ABC + AB\bar{C} \) is:

Fill in the banks with the correct option. 

Technical writing demands \(\underline{\hspace{1cm}}\) use of language.
 

The passage states all the following about VR applications except

Choose the correct alternative with the correct choice given below each statement: 

You are to conform \(\underline{\hspace{1cm}}\) the rules of the institute.
 

Choose the synonym. LIBERAL
"Bite the bullet" means

Which of the following alternatives to the underlined portion would NOT be acceptable? 

The country cleared this \(\underline{\text{path and paved}}\) it with packed gravel...
 

'Duck out of something' means