Multiple choice

Find the value of both quantities and state the correct relationship. Quantity I: Marks of new student, if the average marks of 25 students is 55 and after the marks of new student also taken into consideration, average increases by 2 marks Quantity II: Marks of new student, if the average marks of 20 students is 80 and after the marks of new student also taken into consideration, average increases by 1.5 marks

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Total marks of 25 students = 25 × 55 = 1375. After adding new student, average becomes 57, so total = 26 × 57 = 1482. New student's marks = 1482 - 1375 = 107. Quantity II: Total marks of 20 students = 20 × 80 = 1600. After adding new student, average becomes 81.5, so total = 21 × 81.5 = 1711.5. New student's marks = 1711.5 - 1600 = 111.5. Clearly 111.5 > 107, so Quantity II is greater.

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