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 of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

A) 16 B) 20
C) 24 D) 30
 
Answer & Explanation Answer: B) 20

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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:

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

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Q:

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

A) 100 B) 99
C) 199 D) 101
 
Answer & Explanation Answer: C) 199

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Q:

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

 

 

A) 55 B) 56
C) 54 D) 53
 
Answer & Explanation Answer: B) 56

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Q:

In a cricket match, the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 then the variance is

 

A) 12 B) 8
C) 16 D) 4
 
Answer & Explanation Answer: C) 16

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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:

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?

A) 21 B) 22
C) 20 D) 19
 
Answer & Explanation Answer: A) 21

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