The square of numbers may end with any one of the digits \(0, 1, 5, 6\), or \(9\). Also, a perfect square has even number of zeroes at the end of it.
(i) \(1057\) has its unit place digit as \(7\).
Therefore, it cannot be a perfect square.
(ii) \(23453\) has its unit place digit as \(3\).
Therefore, it cannot be a perfect square.
(iii) \(7928\) has its unit place digit as \(8\).
Therefore, it cannot be a perfect square.
(iv) \(222222\) has its unit place digit as \(2\).
Therefore, it cannot be a perfect square.
(v) \(64000\) has three zeros at the end of it.
However, since a perfect square cannot end with odd number of zeroes, it is not a perfect square.
(vi) \(89722\) has its unit place digit as \(2\).
Therefore, it cannot be a perfect square.
(vii) \(222000\) has three zeroes at the end of it.
However, since a perfect square cannot end with odd number of zeroes, it is not a perfect square.
(viii) \(505050\) has one zero at the end of it.
However, since a perfect square cannot end with odd number of zeroes, it is not a perfect square.
Look at picture 1 and recall the opening lines of the original song in Hindi. Who is the singer? Who else do you see in this picture?
Fill in the blanks using the correct form of the verbs in brackets.
My little sister is very naughty. When she ____ (come) back from school yesterday, she had _____(tear) her dress. We _____(ask) her how it had _____(happen). She ______(say) she _____ _____ (have, quarrel) with a boy. She _____ _____ (have, beat) him in a race and he _____ ____ (have, try) to push her. She _____ ____ (have, tell) the teacher and so he _____ _____ (have, chase) her, and she _____ _____ (have, fall) down and _____ _____ (have, tear) her dress.