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 marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wronglyentered as 65 instead of 56 and another as 24 instead of 50. The correct average is

A) 70 B) 71
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

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0 2059
Q:

The average revenues of 9 consecutive years of a company is Rs 80 lakhs. If the average of first 5 years is Rs 75 lakhs and that of last 5 years is Rs 87 lakhs, find the revenue for the 5th year.

A) Rs 90 lakhs B) Rs 92 lakhs
C) Rs 88 lakhs D) Rs 86 lakhs
 
Answer & Explanation Answer: A) Rs 90 lakhs

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0 2050
Q:

In a class of 60 students there are 30 girls. The average weight of these girls is 58 Kg and average weight of the full class is 63 kgs. What is the average weight of the boys of the class?

A) 67 B) 66
C) 68 D) 65
 
Answer & Explanation Answer: C) 68

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1 2033
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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2 2015
Q:

A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What is his average before the 17th match?

A) 58 B) 60.5
C) 63 D) 55.5
 
Answer & Explanation Answer: D) 55.5

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0 2007
Q:

The average of 44 consecutive odd numbers is 144.What is the largest number?

A) 189 B) 191
C) 187 D) 193
 
Answer & Explanation Answer: C) 187

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1 1990
Q:

The average revenues of 11 consecutive years of a company is Rs 69 lakhs. If the average of first 6 years is Rs 64 lakhs and that of last 6 years is Rs 76 lakhs, what is the revenue for the 6th year?

A) Rs 83 lakhs B) Rs 79 lakhs
C) Rs 77 lakhs D) Rs 81 lakhs
 
Answer & Explanation Answer: D) Rs 81 lakhs

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0 1984
Q:

The average temperature of Monday ,Tuesday , Wednesday and Thursday is 60°, The average for Tuesday, Wednesday, Thursday and Friday is 63°; If the ratio of temperature for Monday and Friday is 21 : 25, then what is the temperature of Friday ?

A) 70° B) 73°
C) 75° D) 78°
 
Answer & Explanation Answer: C) 75°

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2 1981