Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are subsets of a universal set, then which one the following is not correct?

where, A' is the complement of A
A
A $$\cup$$ (B $$\cap$$ C) = (A $$\cup$$ B) $$\cap$$ (A $$\cup$$ C)
B
A' $$\cup$$ (A $$\cup$$ B) = (B' $$\cap$$ A)' $$\cup$$ A
C
A' $$\cup$$ (B $$\cup$$ C) = (C' $$\cap$$ B)' $$\cup$$ A'
D
(A $$\cap$$ B) $$\cup$$ C = (A $$\cup$$ C) $$\cap$$ (B $$\cup$$ C)
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.
How many students like to play all the three games?
A
14
B
21
C
28
D
35
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.
How many students like to play exactly only one game?
A
196
B
228
C
254
D
268
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let A = {x $$\in$$ R :- 1 $$\le$$ x $$\le$$ 1}, B = {y$$\in$$R :- 1 $$\le$$ y $$\le$$ 1} and S be the subset of A $$\times$$ B, defined by S = {(x, y) $$\in$$ A $$\times$$ B : x2 + y2 = 1}. Which one of the following is correct?
A
S is a one-one function from A into B
B
S is a many-one function from A into B
C
S is a bijective mapping from A into B
D
S is not a function