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:

Of the 5 subjects, the average marks of Rakesh in first 3 Subjects was 79 and the average marks in the last 3 subjects was 86. If his marks in the third subject was 80, then what was his average marks in all the 5 subjects?

A) 81 B) 82
C) 83 D) 85
 
Answer & Explanation Answer: C) 83

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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:

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 mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

A) 50.3 B) 49.6
C) 51 D) 52.4
 
Answer & Explanation Answer: C) 51

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Q:

The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?

A) 15.25 years B) 14 years
C) 14.75 years D) Cannot be determined
 
Answer & Explanation Answer: A) 15.25 years

Explanation:

Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age = 15.25 years

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Q:

The average (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is

A) 3250 B) 3450
C) 3650 D) 3850
 
Answer & Explanation Answer: B) 3450

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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:

The average weight of Shivshankar, Gopesh and Reena is 97 kg. If the average weight of Shivshankar and Gopesh is 93 kg and that of Gopesh and Reena is 82 kg, then the weight of Gopesh is

A) 72 B) 56
C) 59 D) 63
 
Answer & Explanation Answer: C) 59

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