1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {x \over 2} - 1$$, then on the interval [0, $$\pi$$] which one of the following is correct?
A
tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both continuous.
B
tan[f(x)], where [ . ] is the greatest integer function, and f$$-$$1(x) are both continuous.
C
tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both discontinuous.
D
tan[f(x)], where [ . ] is the greatest integer function is discontinuous but $${1 \over {f(x)}}$$ is continuous
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following graph represents the function $$f(x) = {x \over x},x \ne 0$$ ?
A
NDA 2017 Paper 2 Mathematics - Functions Question 44 English Option 1
B
NDA 2017 Paper 2 Mathematics - Functions Question 44 English Option 2
C
NDA 2017 Paper 2 Mathematics - Functions Question 44 English Option 3
D
None of the above
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(n) = \left[ {{1 \over 4} + {n \over {1000}}} \right]$$, where [x] denote the integral part of x. Then the value of $$\sum\limits_{n = 1}^{1000} {f(n)} $$ is
A
251
B
250
C
1
D
0
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{4x + {x^4}} \over {1 + 4{x^3}}}$$ and $$g(x) = \ln \left( {{{1 + x} \over {1 - x}}} \right)$$, then what is the value of $$(fog)\left( {{{e - 1} \over {e + 1}}} \right)$$ equal to ?
A
2
B
1
C
0
D
$${1 \over 2}$$
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