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
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