1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are subsets of a given set, then which one of the following relations is not correct?
A
A $$\cup$$ (A $$\cap$$ B) = A $$\cup$$ B
B
A $$\cap$$ (A $$\cup$$ B) = A
C
(A $$\cap$$ B) $$\cup$$ C = (A $$\cup$$ C) $$\cap$$ (B $$\cup$$ C)
D
(A $$\cup$$ B) $$\cap$$ C = (A $$\cap$$ C) $$\cup$$ (B $$\cap$$ C)
2
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.
3
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
4
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
$$\left[ {{{1 + \sqrt 3 i} \over 2},{{1 - \sqrt 3 i} \over 2}} \right]$$
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