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AFCAT Quantitative Aptitude — practice by topic

Browse 53 questions across 15 Quantitative Aptitude topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Quantitative Aptitude topics

Averages (9)Interest (9)Profit and Loss (9)Ratio and Proportion (9)Simple & Compound Interest (9)Simple Interest (9)Time and Work (9)Analogies (8)Blood Relations (8)Classification (8)Number Series (8)Number Series, Coding and Decoding and Odd Man Out (8)Reasoning & Aptitude (8)Seating Arrangements (8)Series (8)

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The mean of a set of observations is found by:Read the answer and worked solution →The three measures of central tendency are:Read the answer and worked solution →The average of the first 10 natural numbers is:Read the answer and worked solution →The average of 10 numbers is 45. A new number, 100, is added to the set. The new average is:Read the answer and worked solution →

Worked practice questions

The mean of a set of observations is found by:

  1. Taking the middle value after sorting them
  2. Dividing the sum of the values by how many there are
  3. Taking the value that occurs most often
  4. Subtracting the smallest value from the largest
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Correct answer: B. Dividing the sum of the values by how many there are

1. The mean, also called the average, summarises a whole set with one number. 2. It is the sum of the values of all the observations divided by the total number of observations. 3. So both the total and the count are needed before it can be worked out. 4. The middle value after sorting is the median, and the most frequent value is the mode. 5. Largest minus smallest is the range, which measures spread rather than centre. _Source: syllabus Maths, Ch 13 'Statistics', S13.2 Mean of Grouped Data_

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The three measures of central tendency are:

  1. Mean, range and mode
  2. Median, range and total
  3. Mean, median and mode
  4. Mode, range and frequency
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Correct answer: C. Mean, median and mode

1. A measure of central tendency is a single number standing in for a whole data set. 2. The three studied are mean, median and mode. 3. The mean is the arithmetic average, the median the middle value, the mode the most frequent value. 4. Range is a measure of spread, not of centre, so any option containing it is wrong. _Source: syllabus Maths, Ch 13 'Statistics', S13.1 Introduction_

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The average of the first 10 natural numbers is:

  1. 5.5
  2. 5
  3. 6
  4. 6.5
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Correct answer: A. 5.5

1. The first 10 natural numbers are 1 through 10. 2. Their sum is 10 x 11 / 2 = 55. 3. The average is the sum divided by the count, so 55 / 10. 4. That gives 5.5. 5. Answering 5 would be taking the middle of 1 to 10 carelessly; with an even count the mean falls between 5 and 6. _Source: syllabus Maths, Ch 13 'Statistics', S13.2 Mean of Grouped Data_

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How to practise

  1. Choose a Quantitative Aptitude question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
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