Average


  1. The average of 7 consecutive numbers is 20. The largest of these numbers is :









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    Average of 7 consecutive numbers is 20.
    Since the numbers are consecutive, they form an arithmetic series with common difference 1.
    Since, 7 is odd, 20 must be the middle number.
    We can write the series as below,
    17, 18, 19, 20, 21, 22, 23

    Correct Option: B

    Average of 7 consecutive numbers is 20.
    Since the numbers are consecutive, they form an arithmetic series with common difference 1.
    Since, 7 is odd, 20 must be the middle number.
    We can write the series as below,
    17, 18, 19, 20, 21, 22, 23
    ∴ The largest of these numbers is 23.


  1. The average of 25 consecutive odd integers is 55. The highest of these integers is









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    Here , Average of 25 consecutive odd numbers = 55
    ∴ Mid number i.e. 13th number = 55

    Correct Option: A

    Here , Average of 25 consecutive odd numbers = 55
    ∴ Mid number i.e. 13th number = 55
    ∴ 25th number = 55 + 2 × 12
    25th number = 55 + 24 = 79



  1. The average monthly income of A and B is ₹ 14000, that of B and C is ₹ 15600 and A and C is ₹ 14400. The monthly income of C is









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    Given , The average monthly income of A and B = ₹ 14000
    ⇒ A + B = 28,000 ...(i)
    The average monthly income of B and C = ₹ 15600
    ⇒ B + C = 31,200 ...(ii)
    The average monthly income of A and C = ₹ 14400
    ⇒ C + A = 28,800 ...(iii)
    Adding, 2(A + B + C) = 88000
    ⇒ A + B + C = 44000

    Correct Option: A

    Given , The average monthly income of A and B = ₹ 14000
    ⇒ A + B = 28,000 ...(i)
    The average monthly income of B and C = ₹ 15600
    ⇒ B + C = 31,200 ...(ii)
    The average monthly income of A and C = ₹ 14400
    ⇒ C + A = 28,800 ...(iii)
    Adding, 2(A + B + C) = 88000
    ⇒ A + B + C = 44000
    From equation (i),
    28000 + C = 44000
    ⇒ C = 44000 – 28000 = 16000


  1. The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is









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    Given , Sum of 9 numbers = 9 × 50 = 450
    Sum of the first 5 numbers = 5 × 54 = 270
    and Sum of the last 3 numbers = 3 × 52 = 156
    ∴ The sixth number = Sum of 9 numbers - Sum of the first 5 numbers - Sum of the last 3 numbers

    Correct Option: C

    Given , Sum of 9 numbers = 9 × 50 = 450
    Sum of the first 5 numbers = 5 × 54 = 270
    and Sum of the last 3 numbers = 3 × 52 = 156
    ∴ The sixth number = Sum of 9 numbers - Sum of the first 5 numbers - Sum of the last 3 numbers
    The sixth number = 450 – 270 – 156 = 24



  1. If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is









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    Let Numbers = y , y + 2, ...., y + 10
    ∴ Required difference = largest number - smallest number

    Correct Option: B

    Let Numbers = y , y + 2, ...., y + 10
    ∴ Required difference = largest number - smallest number
    Required difference = y + 10 – y = 10