Arihant Expert Team Solutions for Exercise 2: Practice Exercise

The least number which when divided by $16,18,20$ and $25$ leaves $4$ as the remainder in each case but when divided by $7$ leaves no remainder is?

The smallest number, which divided by $12$ and $16$ leaves remainder $5$ and $9$ respectively, is?

The least perfect square which is divisible by each of $21,36$ and $66$ is?

The $\mathrm{HCF}$ and $\mathrm{LCM}$ of two numbers are $45$ and $270$ respectively. If the ratio of the two numbers is $2:3$ and smaller of the two numbers is $x$, then find $x^2$.

Three men step off together from the same spot. Their steps measures $63 cm,70 cm$ and $77 cm$ respectively. The minimum distance each should cover so that all can cover the distance in complete steps is:

The LCM of two consecutive even numbers is $144$, find the numbers?

Three bells ring at intervals of $15, 20$ and $30$ minutes respectively. If they all ring at $11.00 a.m.$ together, at what time will they next ring together?

What is the smallest number of $5$ digits which is exactly divisible by $12$, $24$, $48$, $60$ and $96$?