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Properties of Square Numbers

A non-perfect...

Question

A non-perfect square ends in 2, 3, 7 or ___.

A

4

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B

5

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C

0

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D

8

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Solution

The correct option is C 8
A non-perfect square ends in 2, 3, 7 or 8.

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Similar questions

A natural number is called a perfect square, if it is the square of some other natural number.

Note: Perfect squares are not going to end in 2, 3, 7 or 8 and they won't be of the form in

4 n + 2 o r i n + 3.

Let n be a product of four consecutive positive integers then which answer is not true.

Q. Write true (T) or false (F) for the following statements:
(i) 392 is a perfect cube.
(ii) 8640 is not a perfect cube.
(iii) No cube can end with exactly two zeros.
(iv) There is no perfect cube which ends in 4.
(v) For an integer a, a³ is always greater than a².
(vi) If a and b are integers such that a² > b², then a³ > b³.
(vii) If a divides b, then a³ divides b³.
(viii) If a²ends in 9, then a³ ends in 7.
(ix) If a² ends in 5, then a³ ends in 25.
(x) If a² ends in an even number of zeros, then a³ ends in an odd number of zeros.

Statement 1: Square numbers can never end with 2, 3, 7 or 8.

Statement 2: If a number ends with 0, 1, 4, 5, 6 or 9, it must be a square number.

Which of these statement(s) is/are right?

Q. Find all positive integers

n

3^{2 n} + 3 n^{2} + 7

is a perfect square.

a^{2}

is a perfect square and

b^{3}

is a perfect cube, then

a^{2} \times b^{3}

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