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How many natural numbers between 300 to 500 are multiples of 7?
  • a)
    29
  • b)
    28
  • c)
    27
  • d)
    30
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
How many natural numbers between 300 to 500 are multiples of 7?a)29b)2...
The series will be 301, 308, …….. 497
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How many natural numbers between 300 to 500 are multiples of 7?a)29b)2...
Solution:

Multiples of 7 between 300 to 500 can be found by the following formula:

First multiple of 7 greater than or equal to 300 = 42 × 8 = 336

Last multiple of 7 less than or equal to 500 = 71 × 7 = 497

Therefore, the number of natural numbers between 300 and 500 that are multiples of 7 is:

= (497 - 336)/7 + 1

= 29

Hence, the correct option is (a) 29.
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Community Answer
How many natural numbers between 300 to 500 are multiples of 7?a)29b)2...
The series will be 301,308,....497
then a=301 , d=7and an=497 n=?
now an=497
a+(n - 1)d=497
301+ (n-1)7=497
7n-7=497-301
7n-7=196
7n=196+7
7n=203
n=203/7=29 ans
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How many natural numbers between 300 to 500 are multiples of 7?a)29b)28c)27d)30Correct answer is option 'A'. Can you explain this answer?
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