Logical Reasoning - Venn Diagrams
Study the diagram given below and answer each of the following questions.
Study the diagram given below and answer each of the following questions.
Study the diagram given below and answer each of the following questions.
9. How many numbers are there between 1 and 100 that are not divisible by 3 and 5?
- Option : C
- Explanation : Let us draw a Venn diagram with the information
given in the question.
Numbers divisible by 3 (3, 6, 9 and so on) = 33
Numbers divisible by 5 (5, 10, 15 and so on) = 20
Numbers which are divisible by both 3 and 5 (15, 30, 45, 60, 75 and 90) = 6
Numbers divisible by 3 or 5 or both 3 and 5 = 27 + 6 + 14 = 47 (alternatively, 33 + 20 − 6 = 47)
Numbers neither divisible by 3 nor by 5 = 100 − 47 = 53
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