R S Aggarwal Solutions for Chapter: Factors and Multiples, Exercise 5: EXERCISE 2E

Find the least number divisible by $15, 20, 24, 32$ and$36$.

Find the least number which when divided by $25, 40$ and $60$ leaves $9$ as the remainder in each case.

Find the least number of five digits that is exactly divisible by $16, 18, 24$ and $30$.

Find the greatest number of five digits exactly divisible by $9, 12, 15, 18$ and $24$.

Three bells toll at intervals of $9, 12, 15$ minutes. If they start tolling together, after what time will they next toll together? ( find in hour)

Three measuring rods are $45 \mathrm{cm}, 50 \mathrm{cm}$ and $75 \mathrm{cm}$ in length. What is the least length (in meters) of a rope that can be measured by the full length of each of these three rods?

An electronic device makes a beep after every $15$ minutes. Another device makes a beep after every $20$ minutes. They beeped together at $6 \mathrm{a}.\mathrm{m}$. At what time will they next beep together?

The circumferences of four wheels are $50 \mathrm{cm}, 60 \mathrm{cm}, 75 \mathrm{cm}$ and $100 \mathrm{cm}$. They start moving simultaneously. What is the least distance should they cover so that each wheel makes a complete number of revolutions?