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:

A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

A) 28 B) 32
C) 36 D) 42
 
Answer & Explanation Answer: C) 36

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Q:

In the first 38 overs of a cricket match, the run rate was 4.5 runs/over. Calculate the required run rate in the remaining 12 overs to reach the target of 288 runs?

A) 10.35 B) 10.95
C) 9.75 D) 9.15
 
Answer & Explanation Answer: C) 9.75

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Q:

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

A) 30 B) 32
C) 40 D) 56
 
Answer & Explanation Answer: C) 40

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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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Q:

The average cost of 4 items in a shopping list is Rs 1,250. If one more item whose cost is Rs 2,000 is added to the list what will be the new average (in
Rs)?

A) 1100 B) 1500
C) 1400 D) 1250
 
Answer & Explanation Answer: C) 1400

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Q:

In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?

A) 6.7 B) 6.5
C) 6.3 D) 4.9
 
Answer & Explanation Answer: D) 4.9

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Q:

Mahesh buys 3 shirts at an average price of Rs 1250. If he buys 2 more shirts at an average price of Rs 1450 what will be the average price (in Rs) of all the 5 shirts he buys?

A) 1370 B) 1330
C) 1310 D) 1390
 
Answer & Explanation Answer: B) 1330

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Q:

The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:

A) 39 B) 39.7
C) 40.3 D) 42.7
 
Answer & Explanation Answer: B) 39.7

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