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Match Enrollment of Students

CMAT 2022 · Quantitative Techniques & Data Interpretation · Medium · Data Interpretation

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Match List I with List II. The following table embodies the details about the enrollment of students in five different activities namely Swimming, Singing, Drawing, Dancing and Handicraft in a School during the session 2020-21. A total number of 3000 students including 1750 girls have been enrolled in various activities in the school. Based on the data in the table, match the following:

Activity-wise Enrollment of Students

ActivityPercentage (%) of students enrolled (Out of 3000)Percentage (%) of Girls enrolled (Out of 1750)
Swimming16%14%
Singing21%28%
Drawing14%16%
Dancing24%20%
Handicraft25%22%
List IList II
(A) Boys enrolled in Singing and Handicraft taken together(I) 735
(B) Girls enrolled in Swimming and Drawing taken together(II) 525
(C) Girls enrolled in Singing and Drawing taken together(III) 505
(D) Girls enrolled in Dancing and Handicraft taken together(IV) 770

Choose the correct answer from the options given below:

Activity-wise Enrollment of Students
  1. A.

    (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

  2. B.

    (A)-(I), (B)-(IV), (C)-(III), (D)-(II)

  3. C.

    (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

  4. D.

    (A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Answer

D

Explanation

Let's calculate the values:

  1. Girls:

    • Swimming: 14% of 1750=24514\% \text{ of } 1750 = 245
    • Singing: 28% of 1750=49028\% \text{ of } 1750 = 490
    • Drawing: 16% of 1750=28016\% \text{ of } 1750 = 280
    • Dancing: 20% of 1750=35020\% \text{ of } 1750 = 350
    • Handicraft: 22% of 1750=38522\% \text{ of } 1750 = 385

  2. Total Students & Boys:

    • Singing total: 21% of 3000=630  ⟹  Boys in Singing=630−490=14021\% \text{ of } 3000 = 630 \implies \text{Boys in Singing} = 630 - 490 = 140
    • Handicraft total: 25% of 3000=750  ⟹  Boys in Handicraft=750−385=36525\% \text{ of } 3000 = 750 \implies \text{Boys in Handicraft} = 750 - 385 = 365

  3. Matching:

    • (A) Boys in Singing + Handicraft = 140+365=505140 + 365 = 505 (III)
    • (B) Girls in Swimming + Drawing = 245+280=525245 + 280 = 525 (II)
    • (C) Girls in Singing + Drawing = 490+280=770490 + 280 = 770 (IV)
    • (D) Girls in Dancing + Handicraft = 350+385=735350 + 385 = 735 (I)

Thus, the correct mapping is (A)-(III), (B)-(II), (C)-(IV), (D)-(I).

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