1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Let $R$ be a relation on the open interval $(-1, 1)$ and is given by $R = \{(x, y) : |x + y| < 2\}$. Then which one of the following is correct?

A

$R$ is reflexive but neither symmetric nor transitive

B

$R$ is reflexive and symmetric but not transitive

C

$R$ is reflexive and transitive but not symmetric

D

$R$ is an equivalence relation

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

For any three non-empty sets $A, B, C$, what is $$(A \cup B - \{(A - B) \cup (B - A) \cup (A \cap B)\})$$ equal to?

A

Null set

B

$A$

C

$B$

D

$(A \cup B) - (A \cap B)$

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Let $A = \{1, 2, 3, 4, 5\}$ and $B = \{6, 7\}$. What is the number of onto functions from $A$ to $B$?

A

10

B

20

C

30

D

32

4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
A set S contains (2n + 1) elements. There are 4096 subsets of S which contain at most n elements. What is n equal to?
A
5
B
6
C
7
D
8
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