Subject Experts Solutions for Chapter: Number System and Simplification, Exercise 1: Practice Exercise

The unit digit in the product $(784\times 618\times 917\times 463)$ is :

Find the value of $x$, if $5^{x-3}\times 3^{2x-8}=225$

Along a road lie on odd number of stones placed at intervals of $10 \mathrm{m}$. These stones have to be assembled around the middle stone. A person can carry only one stone at a time.

A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of $4.8 \mathrm{km}$. Then, the number of stones is

What is the value of (x) in the following equation.?

${\mathrm{x}}^{0.4}÷16=32÷{\mathrm{x}}^{2.6}$

Simplify $\left[\frac{(0.333{)}^3}{(0.111{)}^2}-\frac{(0.222{)}^4}{(0.111{)}^3}\right]$

The traffic lights at three different signal points change after every $45 \mathrm{s}, 75 \mathrm{s} \text{and} 90\mathrm{s}$, respectively. If all change simultaneously at $7: 20 : 15 \mathrm{h}$, then they will change again simultaneously at

The number of 'three-digit numbers' which are multiples of $9$are

A piece of cloth costs ₹ $75$. If the piece in ₹ $4$meters longer and each meter costs ₹ $5$ less, the cost remains unchanged what in the length of piece?