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# Average Methods Example 4

Shortcut Tricks are very important things in competitive exam. Competitive exams are all about time. If you manage your time then you can do well in those exams. Most of us miss this thing. Here in this page we give few examples on Average shortcut tricks. All tricks on average are provided here. Visitors are requested to carefully read all shortcut examples. You can understand shortcut tricks on Average by these examples.

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now go through our page for average shortcut trick. After finishing this do remaining questions using Average shortcut tricks. Again keep track of the time. This time you will surely see improvement in your timing. But this is not enough. You need more practice to improve your timing more.

You all know that math portion is very much important in competitive exams. That doesn’t mean that other topics are less important. But if you need a good score in exam then you have to score good in maths. A good score comes with practice and practice. You should do your math problems within time with correctness, and this can be achieved only by using shortcut tricks. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may have that potential that you may do maths within time without using any shortcut tricks. But so many other people may not do the same. So Average shortcut tricks here for those people. We always try to put all shortcut methods of the given topic. But we may miss few of them. If you know anything else rather than this please do share with us. Your little help will help so many needy.

Average Methods Example 4
The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average. This is the basic theory of average which applied in questions to obtain answers here is Average Methods of example 4 and shortcut tricks in different form of examples.

This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

Example #1
A bought 86 pens, B bought 124 pens, C bought 132 pens and D bought 150 pens. What is the average number of pens bought by them?

1. 123
2. 125
3. 127
4. 136

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How to Solve
(86 + 124 + 132 + 150 / 4) = 492 / 4 = 123
Rough Workspace

Example #2
The average weight of 40 fruit is 4kgs. If the weight of fruit container is to be include so the average will would be increase by 0.05kgs. Find the weight of container.

1. 7.05 Kg.
2. 6.05 Kg.
3. 6.85 Kg.
4. 7.40 Kg.

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How to Solve
So, weight of container is = ( 41 x 4.05 ) – ( 40 x 4 )
= 166.05 – 160
= 6.05 kgs.
Rough Workspace

Example #3
The average of six numbers is 62. If the average of first five numbers is 59, What is the value of the sixth number?

1. 67
2. 72
3. 77
4. 83

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How to Solve
Sum of six numbers = 62 x 6 = 372
Sum of first five number = 59 x 5 = 295
So, the 6th number is ( 372 – 295 ) = 77.
Rough Workspace

Example #4
Find the average of the following set of scores?
357, 854, 214, 648, 478

1. 509.2
2. 503.2
3. 501.2
4. 510.2

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How to Solve
(357 + 854 + 214 + 648 + 478 ) / 5
= 2551 / 5
= 510.2
So, the average of the following set is 510.2.
Rough Workspace

Example #5
If average of two numbers is 77.5 and a number is 5.5 less than the average, then what is the second number?

1. 83
2. 88
3. 78
4. 69

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How to Solve
Sum of both the number is ( 77.5 x 2 ) = 155
One of them is ( 77.5 – 5.5 ) = 72
So, the second number is ( 155 – 72 ) = 83.
Rough Workspace

Example #6
The average of six numbers is 25 and if one number of that average is taken out then the average become 26. Find the taken number?

1. 16
2. 20
3. 22
4. 26

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How to Solve
Average of six number is = (25 X 6) = 150 and average five number without taken number is = (26 X 5) = 130.
So, the taken number is = ( 150 – 130 ) = 20.
Rough Workspace

Example #7
Find the average of the following set of numbers?
192, 324, 275, 784, 529, 678, 421, 892

1. 521.875
2. 502.785
3. 511.875
4. 514.857

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How to Solve
( 192 + 324 + 275 + 784 + 529 + 678 + 421 + 892 ) / 8
= 4095 / 8
= 511.875
So, the average of the following set is 511.875.
Rough Workspace

Example #8
What is the average of the following set of numbers?
252, 333, 622, 525, 445, 710, 875

1. 537.42
2. 573.42
3. 542.39
4. 552.39

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How to Solve
( 252 + 333 + 622 + 525 + 445 + 710 + 875 ) / 7
= 3762 / 7
= 537.42
So, the average of the following set is 537.42.
Rough Workspace

Example #9
The average of 40 numbers is 20. If two numbers 36 and 30 are rejected then Find the average of the remaining numbers?

1. 18.31
2. 29.31
3. 19.31
4. 28.31

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How to Solve
Sum of total 40 numbers is ( 40 x 20 ) = 800.
Two numbers 38 and 30 are rejected.
So, the sum of remaining 38 numbers is ( 800 – ( 36 + 30 )) = 734.
So, the required average is = 734 / 38 = 19.31.
Rough Workspace

### Few Examples of Average Shortcut Tricks

1. 