Number Properties Puzzle – Challenge 6
This is a great math puzzle for high ability learners. This is for those who love critical thinking problems. Let's see if you can solve it!
Challenge:
In a children’s game, students count from 1 to 100 and applaud every time that they find either a multiple of 3 or a number ending with 3. How many times are they supposed to applaud?
A- 30
B- 33
C- 36
D- 39
E- 40
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The correct answer is D.
There are 33 numbers that are multiple of 3 less than 100 (3, 6, 9, 12, 15, …) and there are 10 numbers that are ending with 3 (3, 13, 23, 33, 43, …). From those numbers, 4 numbers (3, 33, 63, 93) are also the multiple of 3. Therefore, there are 39 numbers that are either a multiple of 3 or ending with 3:
33 + 10 – 4 = 39
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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