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How many three-digit numbers are divisible by 13?
1. 68
2. 69
3. 71
4. 70

1 Answer

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Best answer
Correct Answer - Option 2 : 69

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:

Three-digit numbers are divisible by 13 are 104, 117 . . . . 988

Last number is 988

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

⇒ 988 = 104 + ( n - 1 )13 

⇒ 884 = ( n- 1 )13

⇒ 68 = n - 1 

 n = 68 + 1 = 69. 

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