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Railways PYQCBT 1 2016

RRB NTPC · Question 87

If R019 is divisible by 11, find the value of the smallest natural number R. A. 5 B. 6 C. 7 D. 8

  1. B

  2. A

  3. C

  4. D

Show answer & explanation

Answer: (D) D

Explanation

A number is divisible by 11 when the difference between the sums of alternate digits is 0 or a multiple of 11. In R019: (R + 1) − (0 + 9) = R − 8. This is 0 when R = 8, so the smallest such R is 8 (8019 = 11 × 729).