1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is$f\circ f\circ f\circ f\circ f(0)$ equal to?
1
0
2
1
3
5
4
10
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is the inverse of the function?
1
$\log _{10}(2x-1)$
2
$\frac{1}{2}\log _{10}(2x-1)$
3
$ \frac{1}{4}\log _{10}(\frac{2x}{2-x})$
4
$\frac{1}{2}\log _{10}(\frac{1+x}{1-x})$
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is the degree of the differential equation
$(\frac{d^{2}y}{dx^{2}})^{\frac{3}{2}}=(\frac{dy}{dx})^{\frac{5}{2}}$
1
3
2
2
3
5/2
4
3/2
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is $\int _{n}^{n+1}(x-[x])dx$, where [.] is the greatest integer function and n is natural number?
1
$\frac{4n+1}{2}$
2
$\frac{2n+1}{2}$
3
1/2
4
1