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 of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

 

A) 16 B) 8
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

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Q:

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?

 

A) 21 : 1   B) 23 : 2
C) 19 : 11 D) 9 : 2
 
Answer & Explanation Answer: A) 21 : 1  

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Q:

The mean score in a test of the 10 boys in a class was 15 while the overall mean of the 25 students in the class was 16.2. What was the mean score of the girls?

A) 16.8 B) 17
C) 16.5 D) 17.5
 
Answer & Explanation Answer: B) 17

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Q:

The average monthly salary of 19 members of a group is Rs. 16000. If one more members whose monthly salary is Rs. 20000 has joined the group, then the average salary of the group is

A) Rs.18250 B) Rs.16200
C) Rs.18000 D) Rs.16250
 
Answer & Explanation Answer: B) Rs.16200

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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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Q:

The average revenues of 9 consecutive years of a company is Rs 65 lakhs. If the average of first 5 years is Rs 60 lakhs and that of last 5 years is Rs 72 lakhs, find the revenue for the 5th year.

A) Rs 77 lakhs B) Rs 75 lakhs
C) Rs 73 lakhs D) Rs 71 lakhs
 
Answer & Explanation Answer: B) Rs 75 lakhs

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Q:

A boy spends Rs 20 to purchase toffees at Rs 1 each. Next day, he purchased some toffees for Rs 40 with a discount of 50 paise per toffee. What is the average price per toffee (in paise)?

A) 45 B) 60
C) 40 D) 55
 
Answer & Explanation Answer: B) 60

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Q:

Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

A) 63 B) 95
C) 42 D) 126
 
Answer & Explanation Answer: A) 63

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