Average also is one of the topics which is being given some considerable weight age in the Scholarship Aptitude Test preparation and Competitive examinations.Problems on avg. will not be difficult to be solved if the students know some important formula and tricks.Students who are to develop their aptitude skills have to learn this topic.Questions are being asked in this topic in aptitude test which is commonly conducted by the software companies for the purpose of placement.
The main formula to be remembered:
This is the formula which is always applied to find avg.
1.The avg. age of 30 children is 9 years. If the teacher’s age is included, the average age becomes 10 years. What will be the age of teacher?
Avg. = Total age of 30 children/30
9 = Total age of 30 children/30
9x30= Total age of children
Total age of 30 children = 270
Avg. age of 30children + 1 teacher = (Total age of 30 children +1 teacher)/31
10 = (Total age of 30 children+1 teacher)/31
10x31 = Total age of 30 children + 1 teacher
310 = Total age of 30 children + 1 teacher
Total age of 30 children+1 teacher = 310
270+ Age of one Teacher = 310
Age of one Teacher = 310-270
Therefore, Age of one Teacher = 40
2. The avg. of 6 numbers is 8. What will be the 7th number, so that the avg. becomes 10?
Let "x" be the 7 th number
Avg. of six numbers = Total of six numbers /6
8 = Total of six numbers /6
8x6 = Total of six numbers
48 = Total of six numbers
Avg. of 7 nos = (Total of six numbers+x) /7
10 = (48+x)/7
10x7 = 48 + x
70 = 48 + x
70-48 = x
22 = x
Therefore x = 22
Hence the seventh number is 22
These are the examples in the topic average
Quote on Mathematics
“Mathematics, without this we can do nothing in our life. Each and everything around us is math.
Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:
It subtracts sadness and adds happiness in our life.
It divides sorrow and multiplies forgiveness and love.
Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?
Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”