Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.

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Solution

The numbers are 100, 101, 104, 105, 106 and 109.

There are other possibilities too, e.g. 110, 111, 124, 115, 116 and119.

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Similar questions

Column I	Column II
Greatest 3 digit perfect square	$1, 024$
Smallest 5 digit perfect square	$9, 801$
Smallest 3 digit perfect square	$961$
Greatest 4 digit perfect square	$10, 000$
Smallest 4 digit perfect square	$100$

State true or false.

(i) Cube of any odd number is even.

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

(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.

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