📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      How many numbers in the range from 100 to 800 are

      divisible by 8, 12, and 16?
      A 37 Correct Answer Incorrect Answer
      B 22 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 14 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      If a number is a multiple of 8, 12, and 16, then the number is a multiple of the L.C.M of 8, 12, and 16.

      L.C.M of 8, 12, and 16 = 48

      Smallest multiple of 48 between 100 and 800 = 144

      Largest multiple of 48 between 100 and 800 = 768

      Common difference = 48

      Let the required number of terms be 'n'.

      So, 144 + (n - 1) × 48 = 768

      Or, n - 1 = (768 - 144) ÷ 48 = 13

      So, n = 13 + 1 = 14

      So, there are 14 numbers between 100 and 800 which are multiples of 8, 12, and 16.

      Practice Next
      More ESIC Part B Questions
      ask-question