Average Questions Answers

• 15. Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.

  1. 70
  2. 76
  3. 78
  4. 80

  Answer And Explanation

  Answer: Option B

  Explanation:

  Average after 11 innings should be 36
  
  So, Required score = (11 * 36) - (10 * 32)
  = 396 - 320 = 76

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• 16. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is

  1. 54.48
  2. 54.68
  3. 54.60
  4. 54.58

  Answer And Explanation

  Answer: Option B

  Explanation:

  \begin{aligned}
  \frac{(55 \times 50) +(60 \times 55) +(45 \times 60) }{55 + 60 + 45}
  \end{aligned}
  
  \begin{aligned}
  \frac{8750}{160} = 54.68
  \end{aligned}

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• 17. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is

  1. 40
  2. 35
  3. 45
  4. 55

  Answer And Explanation

  Answer: Option A

  Explanation:

  Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3) years = 90 years.
  
  Sum of the present ages of wife and child = (20 * 2 + 5 * 2) years = 50 years.
  
  Husband's present age = (90 - 50) years = 40 years

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• 18. The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is z, then

  1. x = y + z
  2. 2x = y + z
  3. x = 2y + z
  4. x = y + 2z

  Answer And Explanation

  Answer: Option B

  Explanation:

  X =((3y+3z)/6)
  or
  2X= y + z

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• 19. A motorist travel to a place 150 km away at an avearge speed of 50 km/hr and returns ar 30 km/hr.His average speed for the whole jouney in km/hr is

  1. 36.5 km/hr
  2. 37.5 km/hr
  3. 35.5 km/hr
  4. 34.5 km/hr

  Answer And Explanation

  Answer: Option B

  Explanation:

  Average speed will be
  
  \begin{aligned}
  
  \frac{2xy}{x+y} km/hr
  
  
  = \frac{2(50)(30)}{50+30} km/hr
  \end{aligned}
  
  = 37.5 km/hr

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• 20. The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother

  1. 40
  2. 41
  3. 42
  4. 43

  Answer And Explanation

  Answer: Option C

  Explanation:

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• 21. The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is

  1. 45
  2. 50
  3. 55
  4. 60

  Answer And Explanation

  Answer: Option A

  Explanation:

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