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:

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 of 40 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 73 instead of 37. What is the value of correct average?

A) 24.3 B) 24.1
C) 24.5 D) 24.7
 
Answer & Explanation Answer: B) 24.1

Explanation:
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Q:

The average of 10 numbers is X and one of the number is 38. If 38 is replaced with 19, then what will be the new average?

A) X– (1/2)   B) X – (1/19)  
C) X – (19/10)   D) X – (19/9)
 
Answer & Explanation Answer: C) X – (19/10)  

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Q:

In a one day match of 50 overs in an innings the team A had a run rate of 5.3 runs per over. Team B is playing and 5 overs are left and the required run rate to tie the match is 7.2 per over to match the score of Team A. What is team B's score?

A) 265 B) 238
C) 254 D) 229
 
Answer & Explanation Answer: D) 229

Explanation:
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Q:

The average cost of 5 items in a shopping list is Rs 650. If one more item whose cost is Rs 1400 is added to the list what will be the new average (in Rs)?

A) 775 B) 875
C) 725 D) 825
 
Answer & Explanation Answer: A) 775

Explanation:
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Q:

The value of (2+32-3-342) is 

A) 36 B) 336
C) 49 D) 49+3
 
Answer & Explanation Answer: C) 49

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Q:

Average of 14 numbers is 32. If the average of last 5 numbers is 26, then what is the average of the remaining numbers?

A) 35.33 B) 41.33
C) 27.5 D) 44.5
 
Answer & Explanation Answer: A) 35.33

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Q:

If a+1a=2 then the vealue of a5+1a5 will be

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: B) 1

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