Jayashri Bhattacharya and Tarika Dhawan Solutions for Exercise 6: Googly

Three persons take $3$ minutes $20$ seconds, $3$ minutes $40$ seconds and $4$ minutes to run on a round track. If the three start together at $12$ noon, when will they meet next?

Can two numbers have $15$ as their HCF and $220$ as their LCM?

Write two numbers whose LCM is $4$ and sum is $5$.

Write the common factors of  $24$ and $36$.

Write the common factors of $36$ and $63$.

I am an odd composite number; the smallest one that has two different primes in its tree. Who am I?

What is the HCF of two co-prime numbers?

Sarah makes chocolates and sells them during Christmas. This year she made $162$ dark, $216$ fruit and nut and $306$ strawberry chocolates. She wanted to pack them in such a way that each type of chocolate will be in a separate packet. But she also wanted each packet to contain the same number of chocolates. What is the maximum number that can be put in one packet if all the chocolates have to be packed?