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:

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:

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 396, then what is the difference between the first and the third number?

A) 594 B) 448
C) 432 D) 453
 
Answer & Explanation Answer: C) 432

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Q:

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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Q:

The median of the numbers 14, 12, 12, 16, 13 and 18 is

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

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Q:

There are a total of 200 students in a school, of which 7/10th are boys. Find the number of girls in the school.

A) 80 B) 60
C) 40 D) 120
 
Answer & Explanation Answer: B) 60

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Q:

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

A) 65.5 B) 64.8
C) 64.1 D) 66.9
 
Answer & Explanation Answer: A) 65.5

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Q:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

A) 9 B) 12
C) 1 D) 7
 
Answer & Explanation Answer: A) 9

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