In a department, 3/5 of the workers are men and the rest are women. If 1/2 of the men and 3/7 of the women in the department are over 35, what fraction of all the workers in the department are over 35 ?
Solution
Correct Answer: Option A
Solution: LCM of 5, 2 & 7 = 70
So, men = 70 \( \times \) 3/5 = 42
Women = 70 - 42 = 28
Now, men over 35 = 42 \( \times \) 1/2 = 21
Women 35 = 28 \( \times \) 3/7 = 12
Total men & women 35 = 21+12 = 33
Required fraction = 33/70
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