List of top Questions asked in NIT MCA Common Entrance Test

Given that numbers A and B are two 8-bit 2’s Complement numbers with \( A = 11111111 \), \( B = 11111111 \). Then sum \( A + B \) is:
Consider an arbitrary number system with independent digits as 0, 1, and A. If we generate the first few numbers in the sequence as 00, 01, 0A, 10, 11, 1A and if this process is continued to generate the numbers, then the position of 10A is:
A, B, C, D, and E are five different integers. When written in ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E.
The greatest number has the value:
A, B, C, D and E are five different integers. When written in ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E.
The sum of the integers is:
A man gives his son Rs. 500. He then takes back Rs. 100 and gives him back Rs. 50. How much does the man give his son finally?
Two cars, Car A and Car B, are traveling on a highway. Car A starts from point X and travels at a constant speed of 60 km/h, while Car B starts from the same point X but travels at a constant speed of 80 km/h. If both cars travel for 1.5 hours, what is the difference in distance covered by Car B compared to Car A?
In a group of 50 students, 30 like mathematics, 25 like science, and 15 like both. How many students do not like either mathematics or science?
Looking at the portrait of a man, Lucky (male) said, "This person is the only child of my paternal grandmother's daughter." Whose portrait was Lucky looking at?
Which one of the following is the odd one from the given alternatives?
Which out of the following words will appear last in the dictionary?
Rajesh will not go to the concert if Rakesh goes. Rakesh will go to the concert if his dog barks three times.
Based only on the information above, which of the following must be true?
Ramu visits Delhi every 15 days and Samu goes to Delhi every 20 days. They met at Delhi 5 days back. After how many days, from today, they will meet at Delhi next time?
If 30th September, 1991 was a Wednesday, then what was the day on 14th March 1992?
It is given that the mean, median, and mode of a dataset are \( 1 \), \( 3x \), and \( 9x \) respectively. The possible values of mode are:
A man starts at the origin O and walks a distance of 3 units in the north-east direction and then walks a distance of 4 units in the north-west direction to reach the point P. Then \( \overline{OP} \) is equal to:
The system of equations: \[ x + 2y + 2z = 5, \quad x + 2y + 3z = 6, \quad x + 2y + \lambda z = \mu \] has infinitely many solutions if:
The two parabolas \( y^2 = 4a(x + c) \) and \( y^2 = 4bx \), \( a>b>0 \) cannot have a common normal unless:
If \( |\vec{F}|=40 \) N (Newtons), \( |D|=3 \) m, and \( \theta=60^{\circ} \), then the work done by \( \vec{F} \) acting from P to Q is:
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:
Out of a group of 50 students taking examinations in Mathematics, Physics, and Chemistry, 37 students passed Mathematics, 24 passed Physics, and 43 passed Chemistry. Additionally, no more than 19 students passed both Mathematics and Physics, no more than 29 passed both Mathematics and Chemistry, and no more than 20 passed both Physics and Chemistry. What is the maximum number of students who could have passed all three examinations?
The equation \( 3x^2 + 10xy + 11y^2 + 14x + 12y + 5 = 0 \) represents:
If \( f(x) = \cos([\pi^2] \cdot x) + \cos([-\pi^2] \cdot x) \), where \([ \cdot ]\) denotes the greatest integer function, then \( f\left(\frac{\pi}{2}\right) = \)
The value of \( \tan\left(\frac{\pi}{4} + \theta\right) \times \tan\left(\frac{3\pi}{4} + \theta\right) \) 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:
For what values of \( \lambda \) does the equation \( 6x^2 - xy + \lambda y^2 = 0 \) represent two perpendicular lines and two lines inclined at an angle of 45°?