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 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let X be the set of all persons living in Delhi. The persons a an b in X are said to be related, if the difference in their ages is almost 5 hr. The relation is
A
an equivalence relation
B
reflexive and transitive but not symmetric
C
symmetric and transitive but not reflexive
D
reflexive and symmetric but not transitive
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A = {x$$\in$$ R : x2 + 6x $$-$$ 7 < 0} and B = {x$$\in$$ R : x2 + 9x + 14 < 0}, then which of the following is/are correct?

1. (A $$\cap$$ B) = ($$-$$2, 1)

2. (A $$-$$ B) = ($$-$$7, $$-$$2)

Select the correct answer using the code given below
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A, B, C and D are four sets such that A $$\cap$$ B = C $$\cap$$ D = $$\phi$$.

Consider the following

1. A $$\cup$$ C and B $$\cup$$ D are always disjoint.

2. A $$\cap$$ and B $$\cap$$ D are always disjoint.

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In an examination, 70% students passed in Physics, 80% students passed in Chemistry, 75% students passed in Mathematics and 85% students passed in Biology, and x% students failed in all the four subjects. What is the minimum value of x?
A
10
B
12
C
15
D
None of these