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 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let R be a relation on the set N of natural numbers defined by 'nRm $$\Leftrightarrow$$ n is a factor of m'. Then, which one of the following is correct?
A
R is reflexive, symmetric but not transitive.
B
R is transitive, symmetric but not reflexive
C
R is reflexive, transitive but not symmetric
D
R is an equivalence relation
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If E is the universal set and A = B $$\cup$$ C, then the set E $$-$$ (E $$-$$ (E $$-$$ (E $$-$$ (E $$-$$A)))) is same as the set
A
B' $$\cup$$ C'
B
B $$\cup$$ C
C
B' $$\cap$$ C'
D
B $$\cap$$ C
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A = {x : x is a multiple of 2}, B = {x : x is a multiple of 5} and C = {x : x is a multiple of 10}, then A $$\cap$$ (B $$\cap$$ C) is equal to
A
A
B
B
C
C
D
{x : x is a multiple of 100}
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If we define a relation R on the set N $$\times$$ N as (a, b) R (c, d) $$ \Leftrightarrow $$ a + d = b + c for all (a, b), (c, d) $$\in$$N $$\times$$ N, then the relation is
A
symmetric only
B
symmetric and transitive only
C
equivalence relation
D
reflexive only