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:

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:

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

Explanation:
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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

Explanation:
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Q:

The average height of 40 sticks is 154 cm. Some sticks of average height 160 cm are taken out. If the new average height is 150 cm, then how many sticks are remaining?

 

A) 12 B) 16
C) 24 D) 28
 
Answer & Explanation Answer: C) 24

Explanation:
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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

Explanation:
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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

Explanation:
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Q:

The standard deviation of the set {10, 10, 10, 10, 10} is

A) 0 B) 1
C) 5 D) 10
 
Answer & Explanation Answer: A) 0

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