How many numbers between 11 and 90 are divisible by 7?1. 102. 93. 134.

1.	How many numbers between 11 and 90 are divisible by 7?1. 102. 93. 134. 125. None of the Above/ More than one of Above
Answer» 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

How many numbers between 11 and 90 are divisible by 7?1. 102. 93. 134. 125. None of the Above/ More than one of Above

Answer» 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