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A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

Correct answer: D. 12

  • A. 50
  • B. 36
  • C. 24
  • D. 12

Explanation

The largest equal box capacity is the HCF of the three quantities because each quantity must be divided into whole boxes without mixing. HCF(408, 468, 516) = 12 kg, so each box can hold 12 kg. The likely mistake is option c, 24 kg, which does not divide 468 kg exactly.

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