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The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?

Correct answer: D. 6

  • A. 16
  • B. 12
  • C. 8
  • D. 6

Explanation

Interpreting the damaged text as a combined average age of 15 years, let the number of women be w. Then (16 children x 8 years + w x 22 years) ÷ (16 + w) = 15 years, so 128 + 22w = 240 + 15w and w = 16 women. After 10 married women, the unmarried women number 16 - 10 = 6, while the likely mistake is option c from confusing the number of children with the number of women.

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