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GATE 2025 EE – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?

P22895045786039
Q35656056814550
  1. Average score of P is less than the average score of Q.
  2. Median score of P is same as the median score of Q.
  3. Difference between the maximum and minimum scores of P is greater than the difference between the maximum and minimum scores of Q.
  4. Median score and the average score of Q are same.

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Show answer and explanation

Correct answer: (B) Median score of P is same as the median score of Q.

Explanation

P: sum 383, average 54.7, sorted 22, 39, 45, 50, 60, 78, 89 so median 50, range 67. Q: sum 392, average 56, sorted 35, 45, 50, 56, 60, 65, 81 so median 56, range 46. (A) 54.7<56: true. (B) medians 50 and 56 differ: false. (C) 67>46: true. (D) median 56 = average 56: true. The incorrect statement is (B).