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 four consecutive odd numbers is 64. What is the value of largest number?

A) 65 B) 69
C) 71 D) 67
 
Answer & Explanation Answer: D) 67

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Q:

The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is

A) 35 B) 45
C) 55 D) 65
 
Answer & Explanation Answer: B) 45

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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 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:

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?

A) 1.04 B) 1.08
C) 1.4 D) 1.8
 
Answer & Explanation Answer: A) 1.04

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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:

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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Q:

What is the average of all numbers between 9 and 90 which are divisible by 8?

A) 53 B) 52
C) 51 D) 50
 
Answer & Explanation Answer: B) 52

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