Average


  1. Out of 4 numbers, whose average is 60, the first one is onefourth of the sum of the last three. The first number is









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    Let the first number be p,

    then, p =
    240 - x
    = 48
    4

    ⇒ 4p = 240 – p

    Correct Option: C

    Let the first number be p,

    then, p =
    240 - x
    = 48
    4

    ⇒ 4p = 240 – p
    ⇒ 5p = 240
    ⇒ p = 240 ÷ 5 = 48


  1. The average of first three numbers is thrice the fourth number. If the average of all the four numbers is 5, then find the fourth number.









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    Let the numbers be a, b, c.
    According to question ,

    a + b + c
    = 3d
    3

    &trArr; a + b + c = 9d .........( 1 )
    Again,
    a + b + c + d
    = 5
    4

    Correct Option: C

    Let the numbers be a, b, c.
    According to question ,

    a + b + c
    = 3d
    3

    &trArr; a + b + c = 9d .........( 1 )
    Again,
    a + b + c + d
    = 5
    4

    ⇒ a + b + c + d = 20
    ⇒ 9d + d = 20 { ∴ from eq. ( 1 ) }
    ⇒ 10d = 20
    ⇒ d = 2



  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 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. 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