Introduction and Value of Pi

Q.

$\pi$ is the ratio of circumference to __ of the circle.

Q. What is the number that should be added to $132$ to make it exactly divisible by $2$?

1. $1$
2. $5$
3. $0$
4. $9$

Q. What is the number that should be added to $9753193$ to make it exactly divisible by $8$?

1. $7$
2. $5$
3. $6$
4. $1$

Q.

Evaluate the following:

$(\frac{a^m}{a^{-n}}{)}^{m-n}\times (\frac{a^n}{a^{-l}}{)}^{n-l}\times (\frac{a^l}{a^{-m}}{)}^{l-m}$

1. 1

2. a

3. 0

4. 2

Q. If in an A.P., $T_m=n,T_n=m$, prove $d=-1$

Q.

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z$ and find it's value when $x=-1,y=1$ and $z=2$.

1. 4

2. 0

3. 3

4. -3

Q.

The total weight of $1,523$ cubical boxes is $11,98,078$kg. Estimate the weight of each box to the nearest thousands

Q. Which of the following number is equivalent to pi?

1. 22/17
2. 17/22
3. 22/7
4. 7/22

Q. If the circumference and the area of a circle are numerically equal, then what is the radius of the circle?

1. 2 units
2. π units
3. 4 units
4. 6 units

Q. $\text{If}(\frac{5}{4}{)}^3\times (\frac{12.5}{10}{)}^7\times (\frac{4}{5}{)}^2=(\frac{5}{4}{)}^{3x-1}$ then find the value of $x.$

1. 6
2. 1
3. 3
4. 4

Q. Arrange the values of the following expressions in increasing order from bottom to top.

1. $2^3\times 2^2$
2. $2^3\times 3^3$
3. $2^3÷2^2$
4. ${\left(2^3\right)}^2$