If square of a number ends with 5,then its cube ends with 25 . Is the statement correct ?
If n^2 ends with 5, then n is a multiple of 5. (why?)
Thus, n = 10k+5
So, n^3 = 1000k^3 + 1500k^2 + 750k + 125
Looks like It will end in either 25 (even k) or 75 (odd k).
Check:
15^3 = 3375
25^3 = 15625
Thank you sir.
No, the statement is not correct. When the square of a number ends with 5, it does not necessarily mean that its cube will end with 25.
To check if the square of a number ends with 5, we can simply look at the units digit of the number. If the units digit is either 5 or 0, then the square of that number will indeed end with 5.
However, when it comes to the cube of a number, we need to consider the pattern of the units digit. The units digit of a perfect cube can be determined by taking the units digit of the original number and finding its cube.
For example, let's take the number 5. The square of 5 is 25, which does end with 5. But when we calculate the cube of 5 (5 * 5 * 5), we get 125, which does not end with 25. Instead, it ends with 5.
So, in general, it cannot be concluded that if the square of a number ends with 5, then its cube will end with 25.