Entry fee is Re. 1. There are 3 rides, each costing Re. 1. A total of 3000…

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Entry fee is Re. 1. There are 3 rides, each costing Re. 1. A total of 3000 students enter. Total income is Rs. 7200. 800 students go on all 3 rides. 1400 students go on at least 2 rides. No student repeats the same ride. How many students do not go on any ride?

Answer: C. 1000This is a part-whole word problem: the total number of students splits into disjoint groups by how many rides each took, and the total income splits into a…

  1. A.

    600

  2. B.

    900

  3. C.

    1000

  4. D.

    1100

Attempted by 31 students.

Show answer & explanation

Correct answer: C

This is a part-whole word problem: the total number of students splits into disjoint groups by how many rides each took, and the total income splits into a fixed part (entry fees, paid by every student) plus a variable part (ride fees, paid per ride). Subtracting the fixed part isolates the total number of rides taken, which can be distributed across the known rider-groups to solve for any missing group size.

  1. Entry fee income = 3000 students × Re. 1 = Rs. 3000.

  2. Ride income = Total income − Entry income = 7200 − 3000 = Rs. 4200, which equals the total number of rides taken (since each ride costs Re. 1).

  3. Students who took all 3 rides = 800, so rides consumed by them = 800 × 3 = 2400.

  4. Students who took at least 2 rides = 1400, so students who took exactly 2 rides = 1400 − 800 = 600, and rides consumed by them = 600 × 2 = 1200.

  5. Rides accounted for so far = 2400 + 1200 = 3600. Remaining rides = 4200 − 3600 = 600; since no student repeats a ride, these belong to 600 different students who took exactly 1 ride.

  6. Students who went on at least one ride = 800 + 600 + 600 = 2000.

  7. Students who went on no ride = 3000 − 2000 = 1000.

Check: total income = entry income + ride income = 3000 + (2400 + 1200 + 600) = 3000 + 4200 = 7200, matching the given total; and the four groups 800 + 600 + 600 + 1000 = 3000, matching the total student count.

So 1000 students did not go on any ride.

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