1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
A function satisfies $f(x-y)=\frac{f(x)}{f(y)}$, where f(y) ≠ 0. If f(1) = 0.5, then what is f(2) + f(3) + f(4) + f(5) + f(6) equal to ?
A
$\frac{15}{32}$
B
$\frac{17}{32}$
C
$\frac{29}{64}$
D
$\frac{31}{64}$
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

Which one of the following is a possible expression for g(x)?
A
$ \sqrt{x+1}-\sqrt[4]{x+1} $
B
$ \sqrt{x+1}-\sqrt[4]{x+1}+1 $
C
$ \sqrt{x+1}+\sqrt[4]{x+1} $
D
$ x+1-\sqrt{x+1}+1$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

What is g(15) equal to ?
A
1
B
2
C
3
D
4
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

A function is defined by f(x) = π + sin2 x.

What is the range of the function?
A
[0, 1]
B
[π, π + 1]
C
[π - 1, π + 1]
D
[π - 1, π - 1]
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