Question

Taylor wishes to travel to 15 different countries. If she wants to spend same number of days in each country then which of the following can be the total number of days she requires for her plan?

• A. 324
• B. 250
• C. 252
• D. 240

Answer 1

The correct option is D 240

We know: If a number is divisible by 5 and 3 then the number is also divisible by 15.
324 is divisible by 3 but not by 5
250 is divisible by 5 but not by 3
252 is divisible by 3 but not by 5

240 is divisible by 3 because its sum of the digits $(2+4+0=6)$ is a multiple of 3.
240 is also divisible by 5 because 240 ends with a 0 .
Now, As 240 is divisible by both 3 and 5, according to divisibility rule of 15, the number is also divisible by 15.


$⟹$Taylor needs 240 days for her plan to travel to 15 different countries so that she gets to spend an equal number of days in all 15 countries.