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 revenues of 9 consecutive years of a company is Rs 80 lakhs. If the average of first 5 years is Rs 75 lakhs and that of last 5 years is Rs 87 lakhs, find the revenue for the 5th year.

A) Rs 90 lakhs B) Rs 92 lakhs
C) Rs 88 lakhs D) Rs 86 lakhs
 
Answer & Explanation Answer: A) Rs 90 lakhs

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Q:

The average of fruits offered in a temple in a week was 75. The average of fruits offered in six days excluding Tuesday was 72. How many fruits were offered on Tuesday?

A) 90 B) 93
C) 72 D) 92
 
Answer & Explanation Answer: B) 93

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1 1603
Q:

Average of two numbers is 8 and average of other three numbers is 3 ; the average of the five numbers is

A) 2 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

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Q:

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

A) Rs 432 B) Rs 442
C) Rs 420 D) Rs 400
 
Answer & Explanation Answer: C) Rs 420

Explanation:

Let the original avg expenditure be x

Total expenditure = 35x

⇒35x + 42 = (x-1) X 42

⇒35x + 42 = 42x –42

⇒7x = 84

⇒x = 12

So, initial expenditure = 12 X 35 = 420

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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:

An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft 9 3/4 inches. Then the number of Indians in the army is ?

A) 3000 B) 4000
C) 5500 D) 2700
 
Answer & Explanation Answer: A) 3000

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Q:

In a class of 60 students there are 33 girls. The average weight of these girls is 62 Kg and average weight of the full class is 66.5 kg. What is the average weight of the boys of the class?

A) 72 kg B) 71 kg
C) 70 kg D) 73 kg
 
Answer & Explanation Answer: A) 72 kg

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Q:

The average marks of 56 students is shown as 60. It includes a wrong entry of 92 marks instead of 29 marks. The correct average is _____ .

A) 58.875 marks B) 61.125 marks
C) 63.375 marks D) 56.625 marks
 
Answer & Explanation Answer: A) 58.875 marks

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