Average
- 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) + bCorrect Option: A
Here, n = 21, a = 64, b = 65
Weight of teacher = n(b - a) + b
= 21( 65 - 64) + 65
= 21 + 65
= 86 kg
- 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
- 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
- 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 6Correct 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
- 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.
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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.