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:

An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft 9 3/4 inches. Then the number of Indians in the army is ?

A) 3000 B) 4000
C) 5500 D) 2700
 
Answer & Explanation Answer: A) 3000

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Q:

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

A) 7 and 8 B) 6 and 7
C) 8 and 7 D) 6 and 8
 
Answer & Explanation Answer: C) 8 and 7

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Q:

The average of fruits offered in a temple in a week was 75. The average of fruits offered in six days excluding Tuesday was 72. How many fruits were offered on Tuesday?

A) 90 B) 93
C) 72 D) 92
 
Answer & Explanation Answer: B) 93

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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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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:

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:

The average of a,b,c is 20 and that of b,c,d is 25; if d=30, then the value of a is

A) 25 B) 45
C) 30 D) 15
 
Answer & Explanation Answer: D) 15

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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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