What is the no of integers that are not divisible by 7 in the range from 3 to 500?
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Solution:
According to the question,
Total Number from 3 to 500
=> 500 − 3 + 1 = 498
=> 500 −3 + 1 = 498
Numbers that are divisible by 7
First number=7
Last number = 497
Common difference = 7
Hence 497= 7 + (n−1) × 7
=> n = 71497 = 7 + (n−1) × 7
=> n = 71
Therefore, the numbers that are not divisible by 7
=> 498 −71 = 427
[Answer: =427]
According to the question,
Total Number from 3 to 500
=> 500 − 3 + 1 = 498
=> 500 −3 + 1 = 498
Numbers that are divisible by 7
First number=7
Last number = 497
Common difference = 7
Hence 497= 7 + (n−1) × 7
=> n = 71497 = 7 + (n−1) × 7
=> n = 71
Therefore, the numbers that are not divisible by 7
=> 498 −71 = 427
[Answer: =427]
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