Asish Kumar Solutions for Chapter: Playing with Numbers, Exercise 4: Exercise

Find the LCM of $82$ and $92$.

Find the LCM using prime factorization:

$15,30$ and $45$

Find the LCM using prime factorization:

$125,175$ and $200$

In a long jump, three boys jump together from a particular spot. One boy covers a distance of $10 \mathrm{cm}$, second covers $50 \mathrm{cm}$ and third covers $70 \mathrm{cm}$. If the minimum distance is $\mathrm{k} \mathrm{cm}$, each should cover so that all can cover the distance in complete steps. Find the value of $k$

The length, breadth and height of a room are $60 \mathrm{cm},40 \mathrm{cm}$ and $50 \mathrm{cm}$. If the greatest length of the tape which can measure the room exactly is $k \mathrm{cm}$, find the value of $k$.

Find the greatest number which will divide $45,72$ and $999$ leaving remainder as $5,2$ and $9$.

A boy completes a $100 \mathrm{m}$ circular track race in $5$ minutes. Another boy runs in the same direction completes the race in $6$ minutes. After $a$ minutes both the boys will meet at the starting point. Find the value of $a$.

Find the smallest $3$ digit number which is exactly divisible by $5,10$ and $20$.