Multiple choice

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 3,000 students including 1,750 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: Activity-wise Enrollment of Students Activity Percentage (%) of students enrolled (Out of 3,000) Percentage (%) of girls enrolled (Out of 1,750) Swimming 16% 14% Singing 21% 28% Drawing 14% 16% Dancing 24% 20% Handicraft 25% 22% List I List II (A) Boys enrolled in Singling 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:

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

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

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

  4. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate totals: Singing (21% of 3000 = 630), Handicraft (25% of 3000 = 750). Girls in Singing (28% of 1750 = 490), Girls in Handicraft (22% of 1750 = 385). Boys in Singing = 630-490=140. Boys in Handicraft = 750-385=365. Total boys = 140+365=505. This matches (A)-(III).

AI explanation

We calculate the total number of students for each activity to find the number of boys by subtracting the enrolled girls from the total students. For item A, boys in Singing and Handicraft together equal 505, calculated as (21 plus 25) percent of 3000, which is 1380, minus (28 plus 22) percent of 1750, which is 875. For item B, girls in Swimming and Drawing equal 525, calculated as (14 plus 16) percent of 1750. For item C, girls in Singing and Drawing equal 770, calculated as (28 plus 16) percent of 1750. For item D, girls in Dancing and Handicraft equal 735, calculated as (20 plus 22) percent of 1750. This gives the matching sequence as A with III, B with II, C with IV, and D with I.

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