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:

Among three numbers, the first is twice the second and thrice the third, If the average of three numbers is 517, then what is the difference between the first and the third number?

A) 564 B) 759
C) 485 D) 799
 
Answer & Explanation Answer: A) 564

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Q:

The sum of a non-zero number and ten times its reciprocal is 7. Find the number.

A) 4 B) 3
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

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Q:

Of the three numbers, the average of the first number and the second number is 37 more than the average of second number and third number. What is the difference between the first and the third number?

A) 74 B) 73
C) 37 D) cannot be determined
 
Answer & Explanation Answer: A) 74

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Q:

The average weight of P, Q and R is 71 kg. If the average weight of P and Q be 66 kg and that of Q and R be 76.5 kg, then the weight (in kg) of Q is.

A) 60 B) 72
C) 81 D) 75
 
Answer & Explanation Answer: B) 72

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Q:

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

A) 2 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: D) 28

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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:

For the data given below. find the sum of mode. median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4.

A) 13.5 B) 13
C) 14 D) 14.5
 
Answer & Explanation Answer: C) 14

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Q:

The mean of marks secured by 60 students in division A of class X is 66, 45 students of division B is 62 and that of 75 students of division C is 60. Find the mean of marks of the students of three divisions of Class X.

A) 61.8 B) 62.5
C) 61.1 D) 63.9
 
Answer & Explanation Answer: B) 62.5

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