The square numbers are the values which are produced when we multiply a number by itself. Some of the properties are:
In other words, a perfect square leaves remainder 0 or 1 on division by 3.
Verification: The above property can be easily verified from the following computations:
Square number | Remainder when divided by 3 |
1 | |
0 | |
1 | |
1 | |
0 | |
1 | |
1 |
Application: If a number when divided by 3 leaves remainder 2, then it is not a perfect square.
In other words, a perfect square leaves remainder 0 or 1 on division by 4.
We have,
Sum of first 1 odd natural number,
Sum of first 2 odd natural numbers,
Sum of first 3 odd natural numbers.
Sum of first 4 odd natural numbers.
The sum 1 + 3 + 5 + 7 + 9 is _________________ .
| |||
Right Option : A | |||
View Explanation |
Find the square of -15. | |||
Right Option : B | |||
View Explanation |
Find the square of . | |||
Right Option : A | |||
View Explanation |
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
It was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.