Arihant Expert Team Solutions for Exercise 1: Practice Questions

In a morning walk, three person step off together. Their steps measure $\mathrm{}$$80 \mathrm{cm}$, $85 \mathrm{cm}$ and $\mathrm{}$$90 \mathrm{cm}$ respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

Mayank, Manoj and Ankit begin to jog around a circular stadium. They complete their revolutions in $42 \mathrm{seconds}$, $56 \mathrm{seconds}$ and $63$ $\mathrm{seconds}$ respectively. After how many $\mathrm{seconds}$ will they be together at the starting point?

Find the LCM of $4^5, 4^{-18}, 4^{12}$ and $4^7$.

Find the HCF of $\mathrm{Rs} 1.20, \mathrm{Rs} 3.40$and $\mathrm{Rs} 4.80.$

The HCF and LCM of the two numbers are $21$and $4641$, if one number lies between $200$and $300$. Find the two numbers:

Find the largest number which divides $62, 132$and $237$ to leave the same remainder in each case.

Five bells first begin to toll together and then at intervals of $3, 5, 7, 8$ and $10$ seconds. Find after what intervals they will again toll together. How many times do they toll together in one hour?

Find the LCM of $\left(16-{\mathrm{x}}^2\right)$ and $\left({\mathrm{x}}^2-\mathrm{x}+6\right)$.