1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Suppose X = {1, 2, 3, 4} and R is a relation on X. If R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (2, 3), (3, 2)}, then which one of the following is correct?
A
R is reflexive and symmetric, but not transitive
B
R is symmetric and transitive, but not reflexive
C
R is reflexive and transitive, but not symmetric
D
R is neither reflexive nor transitive, but symmetric.
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A relation R is defined on the set N of natural numbers as xRy $$\Rightarrow$$ x2 $$-$$ 4xy + 3y2 = 0. Then, which one of the following is correct?
A
R is reflexive and symmetric, but not transitive
B
R is reflexive and transitive, but not symmetric
C
R is reflexive, symmetric and transitive
D
R is reflexive, but neither symmetric not transitive
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$A = \{ x \in Z:{x^3} - 1 = 0\} $$ and $$B = \{ x \in Z:{x^2} + x + 1 = 0\} $$, where, Z is set of complex numbers, then what is A $$\cap$$ B equal to?
A
Null set
B
$$\left[ {{{ - 1 + \sqrt 3 i} \over 2},{{ - 1 - \sqrt 3 i} \over 2}} \right]$$
C
$$\left[ {{{ - 1 + \sqrt 3 i} \over 4},{{ - 1 - \sqrt 3 i} \over 4}} \right]$$
D
$$\left[ {{{1 + \sqrt 3 i} \over 2},{{1 - \sqrt 3 i} \over 2}} \right]$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements for the two non-empty sets A and B.

1. $$(A \cap B) \cup (A \cap \overline B ) \cup (\overline A \cap B) = A \cup B$$

2. $$(A \cup (\overline A \cap \overline B )) = A \cup B$$

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12