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:

Starting with 8000 workers, the company increases the number of workers by 5%, 10% and 20% at the end of first, second and third year respectively. The number of workers in the fourth yearwas

A) 10188 B) 11088
C) 11008 D) 11808
 
Answer & Explanation Answer: B) 11088

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Q:

The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is

A) 78 B) 49
C) 72 D) 90
 
Answer & Explanation Answer: B) 49

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Q:

The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years)?

A) 11.25 B) 11.5
C) 11.75 D) 12.25
 
Answer & Explanation Answer: C) 11.75

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Q:

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

A) Rs 432 B) Rs 442
C) Rs 420 D) Rs 400
 
Answer & Explanation Answer: C) Rs 420

Explanation:

Let the original avg expenditure be x

Total expenditure = 35x

⇒35x + 42 = (x-1) X 42

⇒35x + 42 = 42x –42

⇒7x = 84

⇒x = 12

So, initial expenditure = 12 X 35 = 420

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Q:

In a class of 65 students there are 39 girls. The average weight of these girls is 60 Kg and average weight of the full class is 64 kgs. What is the average weight of the boys of the class?

A) 69 B) 66
C) 68 D) 70
 
Answer & Explanation Answer: D) 70

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Q:

The average of 19 consecutive even integers is 50. The highest of these integers is

A) 88 B) 68
C) 126 D) 100
 
Answer & Explanation Answer: B) 68

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Q:

A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

A) 35 B) 34
C) 33 D) 36
 
Answer & Explanation Answer: D) 36

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Q:

The average of 12 numbers is 35. If four numbers 20, 27, 15 and 29 are removed then what will be the average of remaining numbers?

A) 41.125 B) 49.5
C) 52.5 D) 38.375
 
Answer & Explanation Answer: A) 41.125

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