1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S = (X - Y) ∪ Z. How many proper subsets does S have?
A
255
B
256
C
1023
D
1024
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements in respect of relations and functions:

1. All relations are functions but all functions are not relations.

2. A relation from A to B is a subset of Cartesian product A × B.

3. A relation in A is a subset of Cartesian product A × A.

Which of the above statements are correct?

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Suppose set A consists of first 250 natural numbers that are multiple of 3 and set B consists of first 200 even natural numbers. How many elements does A ∪ B have?
A
342
B
364
C
384
D
400
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x + 1) = x2 - 3x + 2, then what is f(x) equal to?
A
x2 - 5x + 4
B
​x2 - 5x + 6
C
​x2 + 3x + 3
D
​x2 - 3x + 1
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