1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let f(x) = sin[π2]x + cos[-π2]x where [.] is a greatest ‘integer function

What is $f\left(\frac{\pi}{4}\right)$ equal to ? 
A
$- \frac{1}{\sqrt 2}$
B
-1
C
1
D
$ \frac{1}{\sqrt 2}$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = x2 + 2 and g(x) = 2x - 3, then what is (fog)(1) equal to ?
A
3
B
1
C
-2
D
-3
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the range of the function f(x) = x + |x| if the domain is the set of real numbers ?  
A
(0, ∞)
B
[0, ∞)
C
(-∞, ∞)
D
[1, ∞)
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

What is $\displaystyle\sum_{x=1}^5$f(2x − 1) equal to ?

A
341
B
682
C
1023
D
1364
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