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:

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?

A) 21 B) 22
C) 20 D) 19
 
Answer & Explanation Answer: A) 21

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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

A) 216 B) 297
C) 661 D) 431
 
Answer & Explanation Answer: A) 216

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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:

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:

What is the average of all the one digit, two digit and three digit natural numbers?

A) 300 B) 500
C) 1000 D) 1250
 
Answer & Explanation Answer: B) 500

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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 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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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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