Average


  1. The average weight of 21 boys was recorded as 64kg. If the weight of the teacher was added, the average increased by one kg. What was the teacher's weight?











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    Here, n = 21, a = 64, b = 65
    Weight of teacher = n(b - a) + b

    Correct Option: A

    Here, n = 21, a = 64, b = 65
    Weight of teacher = n(b - a) + b
    = 21( 65 - 64) + 65
    = 21 + 65
    = 86 kg


  1. The average age of 14 girls and their teacher's age is 15 yr. If teacher's age is excluded then the average reduced by 1. What is the teacher's age?









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    Teacher's age = (Sum of 14 girls and teacher age ) - (Without teacher's age sum of 14 girls age)

    Correct Option: A

    Sum of 14 girls and teacher age = 15 x 15 = 225
    Without teacher's age sum of 14 girls age = 14 x 14 = 196
    ∴ Teacher's age = 225 -196 = 29 year



  1. The average of class in 35 yr. 6 new students with an average age of 33 yr. joined in that class, there by decreasing the average by half year. The original strength of the class was









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    Let the number of students in the class = N
    According to the question,
    (35N + 6 x 33) / (N + 6) = 35 - (1/2)

    Correct Option: B

    Let the number of students in the class = N
    According to the question,
    (35N + 6 x 33) / (N + 6) = 35 - (1/2)
    ⇒ 35N + 198 = 34.5 (N + 6)
    ⇒ 35N +198 = 34.5N + 207
    ⇒ 0.5N = 207 -198N = 9/0.5 = 18
    ∴ N = 18 days


  1. The average age of 5 member of a family is 25 yr. If the servant of the family is included the average age increased by 40% .What is the age of servant?









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    Total age of 5 members = 25 x 5 = 125 yr
    Total age of 5 member and the servant
    = (25 + 25 x 40/100) x 6

    Correct Option: A

    Total age of 5 members = 25 x 5 = 125 yr
    Total age of 5 member and the servant
    = (25 + 25 x 40/100) x 6
    = 35 x 6 = 210 yr
    ∴ Age of the servant = 210 - 125 = 85 yr



  1. The average age of the 30 woman decreases by 3 month if a new person Priyanka is included in place of 25 yr old woman. Calculate the age of Priyanka.











  1. View Hint View Answer Discuss in Forum

    Here, average decreases by 3 months of 3/12 yr.
    Sum of ages decreased
    = 30 x 3/12 = 15/2 = 7.5 yr
    ∴ Age of priyanka = (25 - 7.5) = 17.5 yr.

    Correct Option: A

    Here, average decreases by 3 months of 3/12 yr.
    Sum of ages decreased
    = 30 x 3/12 = 15/2 = 7.5 yr
    ∴ Age of priyanka = (25 - 7.5) = 17.5 yr.