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:

A batsman makes 100 runs in the 25th match of his career. His average runs per match increases by 1.4. Find his average before the 25th match.

A) 65 B) 55
C) 75 D) 45
 
Answer & Explanation Answer: A) 65

Explanation:
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Q:

Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is

A) Rs. 70 B) Rs. 50
C) Rs. 100 D) Rs. 120
 
Answer & Explanation Answer: A) Rs. 70

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Q:

What is the average of first 39 even numbers ?

A) 39 B) 40
C) 20 D) 68
 
Answer & Explanation Answer: B) 40

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Q:

What is the average of first 93 natural numbers?

A) 45 B) 46
C) 47 D) 49
 
Answer & Explanation Answer: C) 47

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Q:

Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?

A) 3.5 B) 7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

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Q:

The average of X, Y, Z is 24. Also, X:Y = 2:3 and X+Y = 60, then find the value of (X-Z)?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

X+Y+Z = 24*3 = 72 X:Y = 2:3 (Given)
Let ‘X’ to be 2a & ‘Y’ to be 3a
X+Y = 60 (Given)
2a+3a = 60
5a = 60
a = 12
Hence, X = 24 & Y = 36
From equation (1)...
Z = 72 - 60
Z = 12
Hence, X - Z = 24-12 = 12.

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0 1954
Q:

What is the average of first 19 odd numbers?

A) 9.5 B) 15.5
C) 19 D) 38
 
Answer & Explanation Answer: C) 19

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Q:

A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.

A) 45 B) 46
C) 44 D) 43
 
Answer & Explanation Answer: A) 45

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