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How many two-digit numbers are divisible by 8?
1. 19
2. 14
3. 11
4. None of these

1 Answer

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Best answer
Correct Answer - Option 3 : 11

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 8 are 16, 24 . . . . 96

Series of AP 16, 24 . . . . 96

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

⇒ 96 = 16 + ( n - 1 ) 8 

⇒ 80 = ( n- 1 ) 8 

⇒ 10 = n - 1 

n = 11. 

The correct option is 1

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