FACTS  AND  FORMULAE  FOR  AVERAGE QUESTIONS

 

 

1. Average =Sum of observationsNo. of observations

2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is2xyx+yKmph

Q:

The average of 9 observations was found to be 35. Later on, it was detected that an observation 81 was misread as 18. The correct average of the observations is

A) 28 B) 42
C) 35 D) 45
 
Answer & Explanation Answer: B) 42

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Q:

The average weight of Shivshankar, Gopesh and Reena is 97 kg. If the average weight of Shivshankar and Gopesh is 93 kg and that of Gopesh and Reena is 82 kg, then the weight of Gopesh is

A) 72 B) 56
C) 59 D) 63
 
Answer & Explanation Answer: C) 59

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Q:

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?

A) 66 B) 61
C) 62 D) 64
 
Answer & Explanation Answer: A) 66

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Q:

In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?

A) 6.7 B) 6.5
C) 6.3 D) 4.9
 
Answer & Explanation Answer: D) 4.9

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Q:

A boy buys 5 pencils at Rs 3 each, 3 erasers at Rs 2 each and 3 sharpeners at Rs 5 each. What is the average expenditure (in Rs) per article?

A) 3.27 B) 3.5
C) 4 D) 5
 
Answer & Explanation Answer: A) 3.27

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Q:

The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

A) 16 B) 20
C) 24 D) 30
 
Answer & Explanation Answer: B) 20

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Q:

The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?

A) 15.25 years B) 14 years
C) 14.75 years D) Cannot be determined
 
Answer & Explanation Answer: A) 15.25 years

Explanation:

Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age = 15.25 years

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Q:

Of the four numbers whose average is 91, the first is 3/10 times the sum of other three. The first number is:

A) 126 B) 56
C) 168 D) 84
 
Answer & Explanation Answer: D) 84

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