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:

A factory buys 8 machines. 3 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 45000, Rs 25000 and Rs 35000 respectively. Calculate the average cost (in Rs) of these machines?

A) 33750 B) 35000
C) 36250 D) 32250
 
Answer & Explanation Answer: A) 33750

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Q:

The average of 7 numbers is 30. If the average of first three numbers is 25 and that of last three numbers is 35, then what is the fourth number?

A) 30 B) 35
C) 37.5 D) 40
 
Answer & Explanation Answer: A) 30

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Q:

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

A) 7 and 8 B) 6 and 7
C) 8 and 7 D) 6 and 8
 
Answer & Explanation Answer: C) 8 and 7

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Q:

The average marks of 10 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 34 instead of 43. What is the correct average?

A) 25.5 B) 24.1
C) 24.5 D) 25.9
 
Answer & Explanation Answer: D) 25.9

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Q:

What will be the average of all the prime numbers before 19?

A) 8.28 B) 11.5
C) 5.34 D) 9.63
 
Answer & Explanation Answer: A) 8.28

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Q:

The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

 

A) 14 B) 15
C) 16 D) 23
 
Answer & Explanation Answer: A) 14

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Q:

The mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

A) 60.3 B) 59.6
C) 61 D) 62.4
 
Answer & Explanation Answer: C) 61

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Q:

Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

 

A) 301 : 60   B) 7 : 3  
C) 39 : 11   D) 60 : 207
 
Answer & Explanation Answer: A) 301 : 60  

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