Find the number of integers between 50 and 500 which are divisible by 7.
(Arithmetic Progression)
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Answer:
64
Step-by-step explanation:
Interval of numbers: 50 to 500
The smallest number divisible by 7 in the given interval is 56=7*8
The greatest number is: 497= 7*71
Count of those divisible by 7 from 0 to 500 is 71 as 497 is the greatest number to satisfy the condition.
Count of those divisible by 7 from 0 to 50 is 7 as 7*7=49
The number of those within 50-500 interval is: 71-7=64
Answer is 64 numbers
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