📢 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 200 to 800 are

      divisible by 4, 8, and 16?
      A 37 Correct Answer Incorrect Answer
      B 28 Correct Answer Incorrect Answer
      C 55 Correct Answer Incorrect Answer
      D 75 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      If a number is a multiple of 4, 8, and 16, then the number is a multiple of the L.C.M of 4, 8, and 16.

      L.C.M of 4, 8, and 16 = 16

      Smallest multiple of 16 between 200 and 800 = 208

      Largest multiple of 16 between 200 and 800 = 784

      Common difference = 16

      Let the required number of terms be 'n'.

      So, 208 + (n - 1) × 16 = 784

      Or, n - 1 = (784 - 208) ÷ 16 = 36

      So, n = 36 + 1 = 37

      So, there are 37 numbers between 200 and 800 which are multiples of 4, 8, and 16.

      Practice Next
      More No. System Questions
      ask-question