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 runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A) 15 B) 32
C) 35 D) 53.5
 
Answer & Explanation Answer: B) 32

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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:

A canteen requires 56 kgs of rice for seven days . The quantity of rice required for the months of April and May together is

A) 468 kg B) 488 kg
C) 498 kg D) 508 kg
 
Answer & Explanation Answer: B) 488 kg

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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:

The average of three numbers is 40. First number is 4/3 of the third number. If third number is 20 less than second number, then what is the value of second number?

A) 60 B) 50
C) 10 D) 20
 
Answer & Explanation Answer: B) 50

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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:

3 numbers whose average is 112, the first number is 1/6th the sum of other 2. What is the first number?

A) 45 B) 30
C) 15 D) 48
 
Answer & Explanation Answer: D) 48

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Q:

The mean of 10 observations is 13. Two more observations are included and the new mean becomes 14. The mean of two new observations is

 

A) 19 B) 18
C) 17 D) 16
 
Answer & Explanation Answer: A) 19

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