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    Question

    The average of 10 numbers is 30. What will be the new average if one of the numbers is increased by 30 and five of the rest decreased by 4 each?

    A 30 Correct Answer Incorrect Answer
    B 31 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 33 Correct Answer Incorrect Answer

    Solution

    ATQ, Let's denote the sum of the original 10 numbers as 'S', and the average as 'A'. Original average:-  A = 30 Original Sum =  S = A × Number of terms = 30 × 10 = 300 Now, let's consider the change in the numbers: 1) One number is increased by 30. 2) Five numbers are decreased by 4 each. Therefore, new average is 31.

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