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:

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

Explanation:
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Q:

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?

A) 66 B) 61
C) 62 D) 64
 
Answer & Explanation Answer: A) 66

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Q:

19 personswentto a hotel for a combineddinner party. 13 of them spent Rs 79 each on their dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) 1628.4 B) 1534
C) 1492 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let the average expenditure of 19 people be x

⇒19x = 13 X 79 + 6 X (x+4)⇒19x = 13 X 79 + 6x +24

⇒x = 80.84

So, total money spent by them = 1536.07

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Q:

The average marks in science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?

A) 68.5 B) 69
C) 69.5 D) 70
 
Answer & Explanation Answer: B) 69

Explanation:

Difference of marks = 72 + 61 –48 –65 = 20∴Correct average marks = 68 +20/20= 69

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Q:

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

A) 564 B) 759
C) 485 D) 799
 
Answer & Explanation Answer: A) 564

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Q:

The average revenues of 11 consecutive years of a company is Rs 77 lakhs. If the average of first 6 years is Rs 72 lakhs and that of last 6 years is Rs 84 lakhs, What is the revenue for the Sixth year.

A) Rs 91 lakhs B) Rs 87 lakhs
C) Rs 85 lakhs D) Rs 89 lakhs
 
Answer & Explanation Answer: D) Rs 89 lakhs

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Q:

The average marks of 45 students is shown as 65. It includes a wrong entry of 84 marks instead of 48 marks. The correct average is:

A) 65.8 marks B) 67.4 marks
C) 62.6 marks D) 64.2 marks
 
Answer & Explanation Answer: D) 64.2 marks

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Q:

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

A) 57.1 B) 56.4
C) 59.2 D) 57.8
 
Answer & Explanation Answer: D) 57.8

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