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The sum of all 2 – digit numbers divisible by 19 will be __________(a) 345(b) 245(c) 275(d) 285I got this question during an interview for a job.Enquiry is from Sum of N Terms of Arithmetic Progression topic in division Arithmetic Progressions of Mathematics – Class 10

Answer»

The CORRECT option is (c) 275

For EXPLANATION I would say: The AP ACCORDING to the given data will be 19, 38, 57, …, 95

Here a = 19 and d = 19

Tn = a + (n – 1)d = 95

19 + (n – 1)19 = 95

19 + 19n – 19 = 95

19n = 95

n = 5

We know that, Sn = \(\frac {n}{2}\) (a + l)

Sn = \(\frac {5}{2}\) ((19) + 95)

Sn = 285



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