Divisibility of Numbers

Q. A number of the form $2^{(p-1)}(2^p-1)$ is an even perfect number if 'p' and $2^{(p-1)}$ are prime numbers.

1. False
2. True

Q. If the function $f:R\to R$ be defined by $f\left(x\right)=2x-3$ and $g:R\to R$ by $g\left(x\right)=x^3+5$, then find the value of $\left(fog{)}^{-1}\right(x)$.

Q. If ${}^{11}{P}_{r-1}{:}^{11}{P}_{r-2}=14:3$ then find $r$.

Q. Simplify:
$\frac{x^2-5x-24}{(x+3)(x+8)}\times \frac{x^2-64}{(x-8{)}^2}$

Q. A teacher can divide 10 books equally among 5 students.

1. False
2. True

Q.

All the numbers that are divisible by 8 are also divisible by 4 and 2.

1. False

2. True

Q.

The number 98754256 is divisible by:

Select all that apply.

1. 4

2. 8

3. 3

4. 2

Q. There is no relationship between division and multiplication.

1. True
2. False

Q. Which is the common factor of 20 and 25?

1. 5
2. 4
3. 3
4. 7

Q. Which of the following is a multiple of 9?

1. 123
2. 451
3. 819
4. 235