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Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :___________?

Correct answer: C. 18

  • A. 6
  • B. 12
  • C. 18
  • D. None of these

Explanation

Write the numbers as 3k, 4k and 6k. Their product is 3k x 4k x 6k = 72k^3 = 1944, so k^3 = 27 and k = 3; the largest number is 6k = 18. The likely wrong choice is 12, which is the middle number rather than the largest one.

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About Ratio and Proportion

Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.

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