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 mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Q:

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?

A) 23 B) 37
C) 24 D) 29
 
Answer & Explanation Answer: A) 23

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Q:

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

 

 

A) 55 B) 56
C) 54 D) 53
 
Answer & Explanation Answer: B) 56

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Q:

The mean of marks secured by 30 students in division-A of class X is 67, 55 students of division-B is 63 and that of 40 students of division-C is 61. What is the mean of marks of the students of three divisions of Class X?

A) 63.32 B) 62.62
C) 61.92 D) 64.72
 
Answer & Explanation Answer: A) 63.32

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Q:

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

A) 65.5 B) 64.8
C) 64.1 D) 66.9
 
Answer & Explanation Answer: A) 65.5

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Q:

The average marks obtained by a group of 16 students was 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 20.5. What was the average marks obtained by the student who left and the one who joined?

A) 10 B) 11
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

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Q:

The average revenues of 13 consecutive years of a company is Rs 78 lakhs. If the average of first 7 years is Rs 73 lakhs and that of last 7 years is Rs 85 lakhs, what is the revenue for the 7th year?

A) Rs 94 lakhs B) Rs 90 lakhs
C) Rs 88 lakhs D) Rs 92 lakhs
 
Answer & Explanation Answer: D) Rs 92 lakhs

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Q:

A line cuts the x­axis at the point (­3,0) and the y­axis at the point (0,6). What is the equation of the line?

A) x = 2y + 6 B) y = 2x ­- 6
C) x = 2y -­ 6 D) y = 2x + 6
 
Answer & Explanation Answer: D) y = 2x + 6

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