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 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$A = \{ x \in R:{x^2} + 6x - 7 < 0\} $$ and $$B = \{ x \in R:{x^2} + 9x + 14 > 0\} $$, then which of the following is/are correct?

I. $$A \cap B = \{ x \in R: - 2 < x < 1\} $$

II. $$A/B = \{ x \in R: - 7 < x < - 2\} $$

Select the correct answer using the code given below.
A
Only I
B
Only II
C
Both I and II
D
Neither I not II
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let R be a relation from A = {1, 2, 3, 4} to B= {1, 3, 5} such that R = {(a, b) : a < b, where a$$\in$$A and b$$\in$$B}. What is RoR$$-$$1 equal to?
A
{(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
B
{(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
C
{(3, 3), (3, 5), (5, 3), (5, 5)}
D
{(3, 3), (3, 4), (4, 5)}
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor 25?
A
860
B
854
C
840
D
824
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Suppose, there is a relation * between the positive numbers x and y given by x * y if and only if x $$\le$$ y2. Then, which one of the following is correct?
A
* is reflexive but not transitive and symmetric
B
* is transitive but not reflexive and symmetric
C
* is symmetric and reflexive but not transitive
D
* is symmetric but not reflexive and transitive