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 graduate people out of the total people in five different towns.

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Find the ratio between the total number of females in A, D and E together to the total number of non-graduates in B and C together.

  1. A.

    33:7

  2. B.

    32:9

  3. C.

    31:4

  4. D.

    34:5

  5. E.

    36:11

Attempted by 2 students.

Show answer & explanation

Correct answer: B

Concept: In a table-based data-interpretation ratio question, first isolate the exact sub-population each part of the question asks for from the given row data — a Males : Females ratio splits a town's total into parts (one part = total ÷ sum of ratio parts), and the graduate/total relationship gives non-graduates as total minus graduates. Only after extracting every required quantity separately should the values be combined into the asked ratio and reduced to lowest terms.

  1. Town A: total = 400, Males:Females = 3:5, so the ratio splits the total into 8 parts; one part = 400 ÷ 8 = 50, giving females = 5 × 50 = 250.

  2. Town D: total = 360, Males:Females = 11:7, so 18 parts; one part = 360 ÷ 18 = 20, giving females = 7 × 20 = 140.

  3. Town E: total = 550, Males:Females = 6:5, so 11 parts; one part = 550 ÷ 11 = 50, giving females = 5 × 50 = 250.

  4. Total females in A, D and E together = 250 + 140 + 250 = 640.

  5. Town B: total = 250, graduates = 130, so non-graduates = 250 − 130 = 120.

  6. Town C: total = 180, graduates = 120, so non-graduates = 180 − 120 = 60.

  7. Total non-graduates in B and C together = 120 + 60 = 180.

  8. Required ratio = 640 : 180. Dividing both terms by their HCF, 20, gives 32 : 9.

Cross-check: using the same splits, males work out to 150 (A), 220 (D) and 300 (E); adding each town's males and females reproduces its given total exactly — 150 + 250 = 400, 220 + 140 = 360, 300 + 250 = 550 — confirming the Males:Females splits used above were applied correctly.

Hence the ratio of the total number of females in A, D and E together to the total number of non-graduates in B and C together is 32 : 9.

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