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Quantitative Aptitude

AVERAGES MCQs

Averages

Total Questions : 3752 | Page 1 of 376 pages
Question 1.

  1. The average of first 10 odd numbers is

  1.    9
  2.    10
  3.    11
  4.    12
 Discuss Question
Answer: Option B. -> 10
Question 2.

  1. The average of first 10 prime numbers is

  1.    12
  2.    12.3
  3.    12.6
  4.    12.9
 Discuss Question
Answer: Option D. -> 12.9
Question 3.

  1. The average of first 10 natural numbers is

  1.    5
  2.    5.5
  3.    6
  4.    6.5
 Discuss Question
Answer: Option B. -> 5.5
Question 4.

  1. The average of first 10 prime numbers which are odd is

  1.    14.8
  2.    15.8
  3.    16.8
  4.    none of thes
 Discuss Question
Answer: Option B. -> 15.8
Question 5.

  1. The average of first 10 even numbers is

  1.    9
  2.    10
  3.    11
  4.    12
 Discuss Question
Answer: Option C. -> 11
Question 6.

  1. The average of  \(31\frac{1}{2},32\frac{1}{4},31\frac{2}{3},33\frac{3}{4}\)   is

  1.    \(31\frac{1}{2}\)
  2.    \(32\frac{7}{24}\)
  3.    \(16\frac{1}{2}\)
  4.    none of these
 Discuss Question
Answer: Option C. -> \(16\frac{1}{2}\)
Question 7.

  1. The average of 9 observations was 9, that of the first 5 being 10 and that of the last 5 being 8. What was the 5th observation?

  1.    7
  2.    8
  3.    9
  4.    10
 Discuss Question
Answer: Option C. -> 9
Question 8.

  1. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4, the sixth number is

  1.    11.1
  2.    11.3
  3.    11.5
  4.    11.7
 Discuss Question
Answer: Option C. -> 11.5
Question 9.
  1. The average of Meenu’s marks in 7 subjects is 68. Her average in 6 subjects excluding English is 70. How many marks did she get in English?

  1.    48
  2.    52
  3.    56
  4.    60
 Discuss Question
Answer: Option C. -> 56

Average is the mean of a given set of data. The average of a set of data is calculated by adding all the values and dividing it by the number of values. Mathematically, it can be expressed as,

Average = (Sum of data)/(Number of data)

In the given question, Meenus average marks in 7 subjects is 68.
Therefore,

Average = (Sum of data)/7

68 = (Sum of data)/7

Sum of data = 68*7 = 476

Meenus average in 6 subjects excluding English is 70.
Therefore,

Average = (Sum of data)/6

70 = (Sum of data)/6

Sum of data = 70*6 = 420

Subtracting the two equations,

476 - 420 = 56

Thus, Meenus marks in English is 56.

Hence, option C. 56 is the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .

Question 10.

A cricketer’s average for 15 matches is 24 runs. In the next five matches played by him, he scored 75, 40, 12, 36 and 57 runs. Find his new average for the 20 matches.

  1.    29 run
  2.    31 run
  3.    33 run
  4.    35 run
 Discuss Question
Answer: Option A. -> 29 run
To find the new average for the cricketer after 20 matches, we need to first find the total runs he scored in all 20 matches, and then divide by 20. Let's break down the problem and solve it step by step:
  • The cricketer's average for 15 matches is 24 runs. Therefore, his total runs in 15 matches would be 15 x 24 = 360 runs.
  • In the next five matches, he scored 75, 40, 12, 36, and 57 runs. Therefore, his total runs in these five matches would be 75 + 40 + 12 + 36 + 57 = 220 runs.
  • His total runs in all 20 matches would be 360 + 220 = 580 runs.
  • To find the new average, we divide the total runs (580) by the total number of matches (20): 580 / 20 = 29 runs.
Therefore, the cricketer's new average for the 20 matches is 29 runs.
Now, let's look at some relevant definitions and formulas:
  • Average (also known as mean) is a statistical measure that represents the central value of a dataset. It is calculated by summing up all the values in the dataset and dividing by the number of values.
  • To calculate the average of a set of numbers, we use the formula: Average = (Sum of values) / (Number of values)
  • In this problem, we are given the average (24 runs) and the number of matches (15). We use the formula to find the total runs (360 runs) in those matches.
  • We are then given the runs scored in the next five matches, and we add them up to find the total runs (220 runs) in those matches.
  • We add the total runs from both sets of matches to find the total runs (580 runs) in all 20 matches.
  • Finally, we use the formula to find the new average (29 runs) for all 20 matches.
In conclusion, the correct answer is option A, which is 29 runs.

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