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Combined average of groups given each group's size and average

This type of question, asked 17 times: 21 Jul 2023 S4, 24 Jul 2023 S2, 26 Jul 2023 S4, 11 Sep 2024 S1, 11 Sep 2024 S3, 13 Sep 2024 S3, 17 Sep 2024 S2, 19 Sep 2024 S2, 19 Sep 2024 S3, 23 Sep 2024 S3, 24 Sep 2024 S3, 25 Sep 2024 S2, 25 Sep 2024 S3, 26 Sep 2024 S1, 12 Sep 2025 S3, 14 Sep 2025 S2, 24 Sep 2025 S1. All 17 questions below, oldest first.

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  1. Question 1

    21 Jul 2023 S4

    73
    College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.

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  2. Question 2

    24 Jul 2023 S2

    51
    In a class of 60 students, 20 are girls. The average weight of the boys in the class is 40 kg, while that of all the girls is 35 kg. What is the average weight (in kg) of the entire class (correct to two decimal places)?

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  3. Question 3

    26 Jul 2023 S4

    65
    In an examination of 7 papers of 100 marks each, there were 3 mathematics papers, 2 English papers and 2 Hindi papers. D gets average marks of 45, 55 and 60 in mathematics, English and Hindi, respectively. What are the average marks per paper?

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  4. Question 4

    11 Sep 2024 S1

    52
    A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 62. What is the average score of the group?

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  5. Question 5

    11 Sep 2024 S3

    59
    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 74. What is the average score of the class?

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  6. Question 6

    13 Sep 2024 S3

    58
    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 72. What is the average score of the class?

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  7. Question 7

    17 Sep 2024 S2

    70
    A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 76. What is the average score of the group?

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  8. Question 8

    19 Sep 2024 S2

    67
    The average score of a batsman in twenty matches is 15 and in twenty-five other matches is 24. Find the average score in all the forty-five matches.

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  9. Question 9

    19 Sep 2024 S3

    57
    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 68. What is the average score of the class?

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  10. Question 10

    23 Sep 2024 S3

    60
    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 60. What is the average score of the class?

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  11. Question 11

    24 Sep 2024 S3

    68
    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 78. What is the average score of the class?

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  12. Question 12

    25 Sep 2024 S2

    51
    In the 8th8^{\text{th}} class, consisting of 30 students, a Mathematics test was taken. 10 students had an average score of 90. The other students had an average score of 75. What is the average score of the whole class?

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  13. Question 13

    25 Sep 2024 S3

    70
    A class of 30 students appeared in a test. The average score of 12 students is 60, and that of the rest is 80. What is the average score of the class?

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  14. Question 14

    26 Sep 2024 S1

    52
    In a class of 150 students (boys and girls only), the girls are 60. The average weight of boys is 52 kg and that of girls is 48 kg. What is the average weight (in kg) of the whole class?

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  15. Question 15

    12 Sep 2025 S3

    58
    Three groups of students have average ages 18, 20, and 22 respectively. If the number of students in the three groups is in the ratio 2:3:5, what is the overall average age?

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  16. Question 16

    14 Sep 2025 S2

    60
    A company has 80 employees, of whom 35 %35\ \% are women. The average monthly salary of the women is ₹72,000, while that of the men is ₹68,000. What is the overall average monthly salary (in ₹ 000) of the whole workforce?

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  17. Question 17

    24 Sep 2025 S1

    68
    In a company, the average salary of 5 junior employees is Rs. 30,000, and that of 4 senior employees is Rs. 60,000. What is the combined average salary?

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