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      Question

      The smallest number 'Z' which when divided by 16, 24,

      and 48 leaves 3 as the remainder in each case. Find the value of ('4Z' + 7).
      A 429 Correct Answer Incorrect Answer
      B 211 Correct Answer Incorrect Answer
      C 375 Correct Answer Incorrect Answer
      D 541 Correct Answer Incorrect Answer

      Solution

      ATQ,

      As we know the least number which is divisible by 'a', 'b', and 'c' is the LCM of 'a', 'b', and 'c'.

      So, the number which is completely divisible by 16, 24, and 48 = LCM of
      16, 24, and 48 = 48

      So, 'Z' = 48 + 3 = 51

      Now,

      (4Z + 7) = (51 × 4) + 7 = 204 + 7 = 211

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