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:

If the average age of 20 students in Class-I is 10 years and average age of 25 students in Class II is 12 years, find the average age (in years) of all students.

A) 11 B) 11.111
C) 10.50 D) 10.85
 
Answer & Explanation Answer: B) 11.111

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Q:

Two students appeared for an examination. One of them secured 21 marks more than the other and his marks were 80% of the sum of their marks. The marks obtained by them are

A) 88 and 67 B) 89 and 68
C) 28 and 7 D) 98 and 77
 
Answer & Explanation Answer: C) 28 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:

In a class of 60 students there are 33 girls. The average weight of these girls is 62 Kg and average weight of the full class is 66.5 kg. What is the average weight of the boys of the class?

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

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Q:

In a class of 39 students there are 26 girls. The average weight of these girls is 42 Kgs and average weight of the full class is 48 kgs. What is the average weight (in kgs) of the boys of the class?

A) 54 B) 66
C) 60 D) 62
 
Answer & Explanation Answer: C) 60

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Q:

A factory buys 7 machines. 2 Machine A, 2 Machine B and rest Machine C. Prices of the machines are Rs 95000, Rs 75000 and Rs 43000 respectively. Calculate the average cost of these machines?

A) 71000 B) 67000
C) 75000 D) 65500
 
Answer & Explanation Answer: B) 67000

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Q:

The average weight of P, Q and R is 45 kg. If the average weight of P and Q be 36.5 kg and that of Q and R be 52 kg, then what is the weight (in kgs) of Q?

A) 42 B) 44
C) 46 D) 48
 
Answer & Explanation Answer: A) 42

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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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