List of top Questions asked in NIT MCA Common Entrance Test

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:

Region \( R \) is defined as the region in the first quadrant satisfying the condition \( x^2 + y^2<4 \). Given that a point \( P = (r, s) \) lies in \( R \), what is the probability that \( r>s \)?

In a certain language, HEART is written as 2018010508, and LUNGS is written as 1907142112. If BRAIN is written in that language, what will be the last number?

After allowing 20% cash discount, a trader still earns a profit of 11.11%. How much above the cost price did the trader mark his goods?

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?

What is the value of \( x^2 + y^2 = ? \)
Statement I: \( xy = 5 \)
Statement II: \( x + y = 10 \)

In a recent survey of 500 employees in a company, it was found that 60% of the employees prefer coffee over tea, 25% prefer tea over coffee, and the remaining 15% have no preference. If 20% of the employees who prefer coffee are also tea drinkers, how many employees prefer only tea?

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?

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?

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?

Directions: A, B, C, D, and E are five different integers. When written in the 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 A and B 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:

The Boolean expression for the following truth table is: