Average
- The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?
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According to question ,
Total correct marks of 35 children = 35 × 35 + 35 – 65 = 1225 – 30 = 1195Required average = 1195 = 34.14 35
Second method to find the required average ,
Diffference = – 65 + 35 = – 30
Correct Option: B
According to question ,
Total correct marks of 35 children = 35 × 35 + 35 – 65 = 1225 – 30 = 1195Required average = 1195 = 34.14 35
Second method to find the required average ,
Diffference = – 65 + 35 = – 30Required average = 35 – 30 35
Required average = 35 – 0.857 = 34.143
- The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).
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Here, N = 15, T = 42, t = 1.6
We can find required answer with the help of given formula ,
Weight of new oarsman = ( N + T × t )
Weight of new oarsman = (42 + 15 × 1.6) kg.Correct Option: C
Here, N = 15, T = 42, t = 1.6
We can find required answer with the help of given formula ,
Weight of new oarsman = ( N + T × t )
Weight of new oarsman = (42 + 15 × 1.6) kg.
∴ Weight of new oarsman = (42 + 24) kg. = 66 kg.
- The average of all the numbers between 6 and 50 which are divisible by 5 is
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Given , Numbers are : 10, 15, 20, 25, 30, 35, 40, 45
Sum of given numbers = 220Average = Sum of given numbers Total numbers
Correct Option: A
Given , Numbers are : 10, 15, 20, 25, 30, 35, 40, 45
Sum of given numbers = 220Average = Sum of given numbers Total numbers Average = 220 8
Average = 27.5
- The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.
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Given , The average of 8 numbers = 27
If each item is multiplied by 8, their average gets multiplied by 8.
∴ Required average = 8 × The average of 8 numbersCorrect Option: D
Given , The average of 8 numbers = 27
If each item is multiplied by 8, their average gets multiplied by 8.
∴ Required average = 8 × The average of 8 numbers
Required average = 8 × 27 = 216
- The average monthly salary of all the employees in an industry is ₹ 12,000. The average salary of male employees is ₹ 15,000 and that of female employees is ₹ 8,000. What is the ratio of male employees to female employees ?
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Let Male employees = p
Female employees = q
∴ (p + q) 12000 = p × 15000 + q × 8000
⇒ (p + q) × 12 = 15p + 8q
⇒ 12p + 12q = 15p + 8q
⇒ 3p = 4qCorrect Option: C
Let Male employees = p
Female employees = q
∴ (p + q) 12000 = p × 15000 + q × 8000
⇒ (p + q) × 12 = 15p + 8q
⇒ 12p + 12q = 15p + 8q
⇒ 3p = 4q⇒ p = 4 q 3
⇒ p : q = 4 : 3