Multiple choice

Passage

Directions: In the following item, quantity I and quantity II are given. Determine the relationship between the quantities and choose the appropriate option. (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I = Quantity II or the relationship cannot be established from the information given (5) If Quantity I ≤ Quantity II

The average weight of a class of 16 students is 25. Quantity I: The average weight of the class, if 8 students joined with an average weight of 26. Quantity II: The average weight of the class, if 10 students joined with an average weight of 25.5.

  1. (1)

  2. (2)

  3. (3)

  4. (4)

  5. (5)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial total weight = 16 * 25 = 400. Quantity I: (400 + 8 * 26) / 24 = 608 / 24 = 25.33. Quantity II: (400 + 10 * 25.5) / 26 = 655 / 26 = 25.19. Since 25.33 > 25.19, Quantity I > Quantity II.

AI explanation

Quantity I is calculated by adding the new students: (16 * 25 + 8 * 26) / 24 = 588 / 24 = 24.5. Quantity II is calculated the same way: (16 * 25 + 10 * 25.5) / 26 = 655 / 26 = 25.19. Comparing the two, 24.5 is less than 25.19, so Quantity I < Quantity II.

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