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ExamsIBPS POQuantitative Aptitude

Directions (55-57): Read the following passage carefully and answer the questions given below. p men can do a work in q days and q women can do the same work in p days. If 20 men & 16 women can do the work together, they can complete the whole work in 53 1/3 days. (z+24) girls and 10 men & 14 women together can do the same work in 16 days. If z girls worked together the same work completed in 26 days, then find the value of z.

  1. 55
  2. 80
  3. 95
  4. 100

Correct answer: 80

Solution

The first condition shows men and women have equal efficiency, so the work can be treated in one common unit. Using the two time-based conditions, we form two equations in z and solve them together to get z = 80.

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