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:

In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was

A) 50 B) 52
C) 60 D) 74
 
Answer & Explanation Answer: D) 74

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Q:

The mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7 B) 10
C) 17 D) 70
 
Answer & Explanation Answer: B) 10

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Q:

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?

A) 10.6 B) 11.2
C) 10 D) 9.4
 
Answer & Explanation Answer: C) 10

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Q:

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

A) 320 sq cm B) 160 sq cm
C) 240 sq cm D) 360 sq cm
 
Answer & Explanation Answer: A) 320 sq cm

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Q:

If a+1a=2 then the vealue of a5+1a5 will be

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: B) 1

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Q:

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?

 

A) 21 : 1   B) 23 : 2
C) 19 : 11 D) 9 : 2
 
Answer & Explanation Answer: A) 21 : 1  

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Q:

An engineering student has to secure 25% marks to pass. He gets 45 and fails by 45 marks. Find the maximum marks.

A) 385 marks B) 410 marks
C) 435 marks D) 360 marks
 
Answer & Explanation Answer: D) 360 marks

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Q:

19 personswentto a hotel for a combineddinner party. 13 of them spent Rs 79 each on their dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) 1628.4 B) 1534
C) 1492 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let the average expenditure of 19 people be x

⇒19x = 13 X 79 + 6 X (x+4)⇒19x = 13 X 79 + 6x +24

⇒x = 80.84

So, total money spent by them = 1536.07

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