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How many numbers between 11 and 90 are divisible by 7?
1. 10
2. 9
3. 13
4. 12
5. None of the Above/ More than one of Above

1 Answer

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Correct Answer - Option 5 : None of the Above/ More than one of Above

GIVEN:

A number between 11 and 90 that is divisible by 7 are 14, 21, 28 .............84

FORMULA USED:

Last term(l) = a + (n - 1)d, where a = 1st term, n = Number of terms and d = Common difference(difference between two consecutive term)

CALCULATION:

All the numbers are in the Arithmetic series

⇒ a = 14, d = (14 - 7) = 7 and l = 84

⇒ Last term(l) = a + (n - 1)d

⇒ 84 = 14 + (n - 1)7

⇒ 84 - 14 = (n - 1)7

⇒ 70 = (n - 1)7

⇒ 10 = (n -1)

⇒ 10 + 1 = n

⇒ 11 = n

∴ There are total 11 numbers that is divisbile by 7 between 11 and 90

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