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JEE Main Maths: Number Theory questions with solutions

1 questions with worked solutions.

Questions

Q1. How many positive divisors does the number 25 * 36 have? (Here 25 * 36 means the product of twenty-five and thirty-six.)

  1. 8
  2. 27
  3. 24
  4. 30

Answer: 27

25 * 36 = 900 = 2² * 3² * 5², so the number of positive divisors is (2+1)(2+1)(2+1) = 27.

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