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Q: The product of two positive numbers is 1344 and their ratio is 7 : 12. The smaller of these numbers is:
  • A. 16
  • B. 28
  • C. 112
  • D. 48
Correct Answer: Option B - Let smallest number be 7x and greatest number be 12x. According to the question, 7x × 12x = 1344 x² = 16 x = 4 Hence, the smallest number = 7x = 7 × 4 = 28
B. Let smallest number be 7x and greatest number be 12x. According to the question, 7x × 12x = 1344 x² = 16 x = 4 Hence, the smallest number = 7x = 7 × 4 = 28

Explanations:

Let smallest number be 7x and greatest number be 12x. According to the question, 7x × 12x = 1344 x² = 16 x = 4 Hence, the smallest number = 7x = 7 × 4 = 28