How to solve any question of Averages in Aptitude Test

Averages is a popular topic asked in Quantitative Aptitude Tests. The topic is pretty simple, but sometimes the questions asked are difficult to understand and decode. In this post, we will show you how to understand, decode and solve any question of Averages easily.

Remember the Golden Formula of Average

The best part about the topic Averages is that there is only one formula that you need to know.

It is Average = (Sum of all numbers) / (Count of numbers)

For example, the Average of 24, 25, 26 is (24+25+26)/3 = 75/3 = 25

This is the only formula you need for any question of Averages. Simple, right? However, the questions can be tricky at times, which makes it difficult to solve, although we know the formula. Let us see one example question.

You can Watch this video to understand how to solve any question of the topic Averages for Quantitative Aptitude Test OR you can continue reading below.

Example Question of Averages

Have a look at the below question generated by our Aptitude Practice Exercise.

Averages Question for Aptitude Test

The question says the average of 5 numbers is 37. If a number is excluded, the average becomes 31. The excluded number is? Tricky right?

Let us try to solve this question with the below tip.

Convert to Sum and Calculate

For any question of averages, convert to sum and calculate.

For example, in the above question, the average of 5 numbers was 37. So, the total sum of 5 numbers will be 37 x 5 = 185.

Remember, that in any question if you have average mentioned, then you also have the total sum available with you!

Now, the next part of the question is that one number is excluded after which the average becomes 31.

So, since one number is excluded we now have 4 numbers (instead of 5) whose average is 31. Thus, the total sum of 4 numbers is 4 x 31 = 124.

Now, the total of 5 numbers was 185 and the total of 4 numbers after excluding a number is 124. Thus, the 5th number that was excluded is 185 – 124 = 61.

Check the complete solution below:

Solution

So, as you have seen in this question, you can convert averages to the total sum to solve any question of the Averages chapter for Aptitude.

Practice Averages with Meritstore

We would suggest you try this technique immediately by solving questions using Meritstore’s free practice tool: Averages for Aptitude Preparation.