Find the total numbers between 100 and 200 which are divisible by 12.1

1.	Find the total numbers between 100 and 200 which are divisible by 12.1. 62. 163. 84. 12
Answer» Correct Answer - Option 3 : 8 Calculation: The total number between 1 and 100 divisible by 12 = 100/12 = 8.33 ⇒ 8 (Taking proper number) The total number between 1 and 200 divisible by 12 = 200/12 = 16.67 ⇒ 16 (Taking proper number) The total number between 100 and 200 which are divisible by 12 = 16 – 8 = 8 ∴ The total number between 100 and 200 which are divisible by 12 is 8. Alternate Solution Numbers divisible by 12 in between 100 and 200 are 108, 120, ... , 192 We know. Last number = First number + (Number of terms - 1) × Common difference ⇒ 192 = 108 + (n - 1) × 12 ⇒ 84 = (n - 1) × 12 ⇒ 7 = n - 1 ⇒ n = 8 ∴ The total number between 100 and 200 which are divisible by 12 is 8.

Find the total numbers between 100 and 200 which are divisible by 12.1. 62. 163. 84. 12

Answer» Correct Answer - Option 3 : 8

Calculation:

The total number between 1 and 100 divisible by 12 = 100/12 = 8.33

⇒ 8 (Taking proper number)

The total number between 1 and 200 divisible by 12 = 200/12 = 16.67

⇒ 16 (Taking proper number)

The total number between 100 and 200 which are divisible by 12 = 16 – 8 = 8

∴ The total number between 100 and 200 which are divisible by 12 is 8.

Alternate Solution

Numbers divisible by 12 in between 100 and 200 are 108, 120, ... , 192

We know.

Last number = First number + (Number of terms - 1) × Common difference

⇒ 192 = 108 + (n - 1) × 12

⇒ 84 = (n - 1) × 12

⇒ 7 = n - 1

⇒ n = 8

∴ The total number between 100 and 200 which are divisible by 12 is 8.

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