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.