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 runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A) 15 B) 32
C) 35 D) 53.5
 
Answer & Explanation Answer: B) 32

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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:

3 numbers whose average is 112, the first number is 1/6th the sum of other 2. What is the first number?

A) 45 B) 30
C) 15 D) 48
 
Answer & Explanation Answer: D) 48

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Q:

The average marks in science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?

A) 68.5 B) 69
C) 69.5 D) 70
 
Answer & Explanation Answer: B) 69

Explanation:

Difference of marks = 72 + 61 –48 –65 = 20∴Correct average marks = 68 +20/20= 69

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Q:

What is the average of all the one digit and two digit natural numbers?

A) 25 B) 40
C) 50 D) 99
 
Answer & Explanation Answer: C) 50

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Q:

The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

A) 41 B) 39
C) 42 D) 45
 
Answer & Explanation Answer: C) 42

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Q:

The average marks of 45 students is shown as 65. It includes a wrong entry of 84 marks instead of 48 marks. The correct average is:

A) 65.8 marks B) 67.4 marks
C) 62.6 marks D) 64.2 marks
 
Answer & Explanation Answer: D) 64.2 marks

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Q:

The average weight of two players P and Q of a football team is 38 kg. The average weight of P, Q and their coach T is 49 kg. What is the weight (in kg) of coach?

A) 71 B) 46
C) 76 D) 91
 
Answer & Explanation Answer: A) 71

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