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:

In the first 39 overs of a cricket match, the run rate was 4.6 runs/over. Calculate the required run rate in the remaining 11 overs to reach the target of 252 runs?

A) 7.2 B) 5.7
C) 6.3 D) 6.6
 
Answer & Explanation Answer: D) 6.6

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Q:

The average weight of 100 students is 32 kg. The average weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is the weight (in kg) of the 50th student?

A) 25 B) 30
C) 32 D) 33
 
Answer & Explanation Answer: B) 30

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Q:

In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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Q:

The average marks of 18 students in an examination was 60. It was later found that the marks of one student had been wrongly entered as 63 instead of 36. The correct average is:

A) 59 B) 59.5
C) 58 D) 58.5
 
Answer & Explanation Answer: D) 58.5

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Q:

In a match of 50 overs, team A’s average runs for first thirty overs was 4.5 runs/over while for the remaining 20 overs the average was 5.5 runs/over. Team B chased the target and lost by 10 runs. Find the average runs per over scored by team B. (team B played all the 50 overs). 

A) 4.4 B) 5.2
C) 4.7 D) 4.6
 
Answer & Explanation Answer: C) 4.7

Explanation:

Total runs scored by team

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3 1425
Q:

The simple interest on a sum for 20 years is 5/4 of the principal. What is the per annum rate (in percentage) of interest?

A) 6.25 B) 12.5
C) 2.5 D) 5
 
Answer & Explanation Answer: A) 6.25

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Q:

In a class there were 28 boys and some girls. In a test the mean score obtained by the boys was 12.5 while that obtained by the girls was 14.5. If the overall average was 13.1, what was the total number of students in the class?

A) 42 B) 44
C) 40 D) 38
 
Answer & Explanation Answer: C) 40

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Q:

In a class of 60 students there are 20 girls who scored an average of 40 marks in the test, what is the average marks of the boys if the class average is 60 marks?

A) 60 B) 70
C) 50 D)
 
Answer & Explanation Answer: B) 70

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