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 mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Q:

In a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

A) 55 B) 54.2
C) 53.4 D) 53
 
Answer & Explanation Answer: A) 55

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Q:

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

A) 20 B) 50
C) 25 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

A) 65.5 B) 64.8
C) 64.1 D) 66.9
 
Answer & Explanation Answer: A) 65.5

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Q:

The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. The 11th observation is

 

A) 16 B) 8
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

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Q:

a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?

A) 1.5 B) 3
C) 3.5 D) 4.5
 
Answer & Explanation Answer: C) 3.5

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Q:

In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B's score now?

A) 235 B) 230
C) 240 D) 225
 
Answer & Explanation Answer: C) 240

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Q:

A factory buys 10 machines. 1 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 90000, Rs 40000 and Rs 40000 respectively. Calculate the average cost of these machines?

A) 56666.6 B) 68333.3
C) 45000 D) 43500
 
Answer & Explanation Answer: C) 45000

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