1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

If A and B are non-empty subsets of a set, and $A ^ c$ and $ B ^ c$ represent their complements, then which of the following is/are correct?

I. A - B = $B ^ c - A ^ c$

II. $A - B ^ c = A ^ c - B$

Select the answer using the code given below.

1
I only
2
II only
3
Both I and II
4
 Neither I nor II
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
In a class of 45 students, 34 like to play cricket and 26 like to play football. Further, each student likes to play at least one of the two games. How many students like to play exactly one game?
 
1
45
2
30
3
25
4
15
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X - Y) × (Y-X) have?
1
$5n ^ 2$
2
$ 4n ^ 2$
3
$3n ^ 2$
4
$2n ^ 2$
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let A = {- 3, - 2, - 1, 0, 1, 2, 3} and B = {0, 1, 4, 9} How many elements does the subset of AB corresponding to the relation R = {(x, y) : |x| < y} have, where x $\in$ A and y $\in$ B?
1
9
2
12
3
15
4
16