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    Question

    6 students ‘P’, ‘Q’, ‘R’, ‘S’, ‘T’ and

    ‘U’ took part in a quiz competition. The average score of all 6 was 72 marks. The average score of ‘P’, ‘R’, ‘S’ and ‘T’ was 70 marks. If ‘U’ scored 20 marks more than ‘Q’, then find the marks scored by ‘Q’.
    A 66 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 38 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of marks scored by all 6 students = 72 × 6 = 432

    Sum of marks scored by ‘P’, ‘R’, ‘S’ and ‘T’ = 70 × 4 = 280

    So, sum of marks scored by ‘Q’ and ‘U’ = 432 − 280 = 152

    Let marks scored by ‘Q’ = x

    Then, marks scored by ‘U’ = x + 20

    So, x + x + 20 = 2x + 20 = 152

    => x = (152 − 20) ÷ 2 = 66

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