Q125. Find the difference between the number of non-graduate people in A and D…

2025

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Q125. Find the difference between the number of non-graduate people in A and D together and the number of females in E.

  1. A.

    25

  2. B.

    20

  3. C.

    35

  4. D.

    40

  5. E.

    45

Show answer & explanation

Correct answer: A

Concept

In a data-interpretation table, two standard sub-results are needed here. First, non-graduates = total people − graduates, since every person is either a graduate or a non-graduate. Second, a gender count from a ratio = (that gender's ratio part ÷ sum of ratio parts) × total people. To find the difference between two quantities, compute each one independently first, then subtract the smaller from the larger.

Application

  1. Non-graduates in A = total − graduates = 400 − 290 = 110.

  2. Non-graduates in D = total − graduates = 360 − 245 = 115.

  3. Non-graduates in A and D together = 110 + 115 = 225.

  4. Females in E: the male-to-female ratio is 6 : 5, so females = (5 ÷ 11) × 550 = 250.

  5. Required difference = |225 − 250| = 25.

Cross-check

  • Graduates in A and D = 290 + 245 = 535; total in A and D = 400 + 360 = 760, so non-graduates = 760 − 535 = 225. This matches step 3.

  • Males in E = (6 ÷ 11) × 550 = 300, so females = 550 − 300 = 250. This matches step 4.

  • Hence the difference is 250 − 225 = 25.

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