If square of x end in 9 then which digit does cube of x ends in

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Solution

square of x ends in 9.
It means the unit digit of x is either 7 or 3.
So, the cube of x can have either 3 or 7 in unit place.

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(ii) A perfect cube does not end with two zeros.

(iii) If square of a number ends with $5$ , then its cube ends with $25$ .

(iv) There is no perfect cube which ends with $8$ .

(v) The cube of a two digit number may be a three digit number.

(vi) The cube of a two digit number may have seven or more digits.

(vii) The cube of a single digit number may be a single digit number.

If a square ends with even number of zeros then a cube ends in odd number of zeros true or false

5

25

5

25

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