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How many two-digit numbers are divisible by 12?
1. 8
2. 9
3. 7
4. 10

1 Answer

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Correct Answer - Option 1 : 8

Concept:

nth  term of A.P are a, a + d , a + 2d,  . . . .  ,a + (n-1)d .

Tn = a + ( n - 1 ) d 

Where a = first term and d = common difference

Calculation:

Two-digit numbers are divisible by 12 are 12, 24 . . . . 96

Last number is 96

As we know that , Tn = a + ( n - 1 ) d

⇒ 96 = 12 + ( n - 1 )12 

⇒ 84 = ( n- 1 )12

⇒ 7 = n - 1 

 n = 7 + 1 = 8. 

The correct option is 1

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