MCA Entrance Previous Year Question Bank

Match the following columns:

In university there are total 100 students. 15 offered mathematics only, 12 offered statistics only, 8 offered physics only, 40 offered physics and mathematics, 20 offered physics and statistics, 10 offered mathematics and statistic, 65 offered physics. Tell the number of students not offered any of three.

The set of positive integers is

The difference between two sets {1,2,3} and {1,2,5} is the set

In a class there are 400 students, the following table shows the number of students studying one or more of the subjects:

A. The number of students who study only MATHSematics is 100.

B. The number of students who study only Physics is 40.

C. The number of students who study only Chemistry is 40.

D. The number of students who do not study MATHSematics, Physics and Chemistry is 70.

Choose the correct answer from the options given below.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: In a class of 40 students, 22 drink sprite, 10 drink Sprite but not Pepsi.

Then the number of student who drink both Sprite and Pepsi is 15.

Reason R: For any two finite sets A $ \text{ and } B,\;n(A) = n(A - B) + n(A \cap B) $

In the light of the above statements, choose the most appropriate answer from the options given below:

Consider the diagram given below and the following two statements:

Statement I:
Events $ A $ and $ B $ can be expressed as:

$ A = (A \cap \overline{B}) \cup Y $
$ B = (A \cap B) \cup Z $

Statement II:
Events $ A $ and $ B $ can be expressed as:

$ A = X - Y $
$ B = Y + Z $

In the light of the above statements, choose the most appropriate answer from the options given below:

If A,B and C are any three sets, then (a) $ A-(B\cap C)=(A\cap B)-(A\cap C) $ (b) $ A-(B\cup C)=(A-B)\cap(A-C) $ (c) $ n(A-B)=n(A)-n(A\cap B) $ (d) $ A\cap(B-C)=(A\cap B)\cap(A-C) $

Choose the most appropriate answer from the options given below:

There are 200 students in a school out which 120 students play football, 50 students play cricket and 30 students play both football and cricket. The number of students who play one game only is:

From the given sets, which is an infinite set: