Read the following table carefully and answer the questions given below. The…

2025

Read the following table carefully and answer the questions given below. The table shows the total number of people, the ratio of males to females, and the number of graduates people out of the total people in five different towns.

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The total number of people in F is 60% that of B, and the number of females in F is 40% less than that of C. Find the average number of males in F and D.

  1. A.

    124

  2. B.

    192

  3. C.

    178

  4. D.

    161

  5. E.

    143

Show answer & explanation

Correct answer: D

When a table gives a row's total headcount together with its Males : Females ratio, the individual counts are obtained by splitting that total in the ratio's proportion — Males = Total × (male ratio part) / (sum of ratio parts) and Females = Total × (female ratio part) / (sum of ratio parts). When a value for one row is defined only as a percentage of another row's already-known figure (for example, a total that is a percentage of a different town's total, or a count that is a stated percentage less than another town's count), that percentage is applied directly to the referenced figure to obtain the new value. The average of two derived quantities is simply their sum divided by two.

Applying this to towns F and D using the table's figures for towns B, C, and D:

  1. Total people in F = 60% of the total people in B = 60% × 250 = 150.

  2. In town C, Males : Females = 5 : 4, so the ratio parts sum to 9; Females in C = (4/9) × 180 = 80.

  3. Females in F is 40% less than Females in C, so Females in F = 80 × (1 − 40%) = 80 × 0.6 = 48.

  4. Males in F = Total in F − Females in F = 150 − 48 = 102.

  5. In town D, Males : Females = 11 : 7, so the ratio parts sum to 18; Males in D = (11/18) × 360 = 220.

  6. Average of the males in F and D = (Males in F + Males in D) / 2 = (102 + 220) / 2 = 322 / 2 = 161.

Checking the intermediate splits against the table: Females in D = (7/18) × 360 = 140, and Males in D + Females in D = 220 + 140 = 360, matching D's given total; similarly Males in F + Females in F = 102 + 48 = 150, matching F's derived total. Both splits are internally consistent, confirming the average of 161.

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