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 (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is

A) 3250 B) 3450
C) 3650 D) 3850
 
Answer & Explanation Answer: B) 3450

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Q:

The average of 100 items was found to be 30 . If at the time of calculation , two items were wrongly taken as 32 and 12 instead of 23 and 11 , then the correct average is

A) 29.8 B) 29
C) 29.9 D) 29.5
 
Answer & Explanation Answer: C) 29.9

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Q:

What is the average of all numbers between 11 and 80 which are divisible by 6?

A) 46 B) 47
C) 44 D) 45
 
Answer & Explanation Answer: D) 45

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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:

What is the average of all numbers between 100 and 200 which are divisible by 13?

A) 147.5 B) 145.5
C) 143.5 D) 149.5
 
Answer & Explanation Answer: D) 149.5

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Q:

A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was

A) Rs 84 B) Rs 83
C) Rs 68 D) Rs 100
 
Answer & Explanation Answer: D) Rs 100

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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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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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