Jim has 100 cards. There is a whole number from 1 to 100 on each card.
No cards have the same number.
Jim puts a star on every card that has a multiple of 3 on it.
He puts a circle on every card that has a multiple of 7 on it.
What numbers are on the cards that have both a star and a circle on them?
The final line of your answer must list only these numbers.

Given:

Number cards from 1 to 100

star for every multiple of 3s

circle for every multiples of 7s

To FInd:

The cards that would ave both star and circle

Solution

Find the LCM of 3 and 7

LCM = 3 x 7 = 21

Identify the cards that will have both stars and circles

⇒ All cards that are multiples of 21

List the cards that are multiples of 21 between 1 to 100:

The cards are 21, 42, 63, 84

There are 4 cards that have both stars and circles. They are 21, 42, 63 and 84

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