Question

Shantha goes to the supermarket to buy vegetables once in 3days to buy fruits once in 5days and to buy cleaning materials once in 20days. if she buys all the three necessities onmarch 4, which is the earliest date she will buy all the three together again? in venn diagram

Answer 1

On 3rd May she will buy all three together again.

Step-by-step explanation:

Shantha buys vegetables once in 3 days, fruits once in 5 days and cleaning materials once in 20 days.

We will take LCM of these numbers

Factors of 3, 5, 20 = 3 × 5 × 4

LCM of 3, 5, 20 = 60

So she buys all the three necessities together after 60 days.

If she buys all three products on March, 4 so after 60 days the next date would be :

As March has 31 days remaining days in March + April

= (31 - 4)+30 = 57 days + 3 days of May = May 3

On 3rd May she will buy all three together again.

Learn more about LCM : https://brainly.in/question/1183985