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Railways PYQCBT 2 2017

RRB NTPC · Question 90

111 Russian, 407 Chinese and 259 Japanese tourists have assembled at a place. Identical batches containing the same number of persons from each nationality has to be formed without leaving out anybody. Find the total number of persons in each batch.

  1. 18

  2. 37

  3. 10

  4. 14

Show answer & explanation

Answer: (B) 37

Explanation

For identical batches of one nationality each with nobody left out, the batch size must divide 111, 407 and 259. HCF(111, 407, 259) = 37 (111 = 3 × 37, 407 = 11 × 37, 259 = 7 × 37), so each batch has 37 persons.