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The square of which of the following numbers would be an odd number/an even number?

Why?

(i) 727 (ii) 158 (iii) 269 (iv) 1980


(i) 727

Since 727 is an odd number.

 ∴ It square is also an odd number.

(ii) 158

Since 158 is an even number.

 ∴ Its square is also an even number.

(iii) 269

Since 269 is an odd number.

 ∴ Its square is also an odd number.

(iv) 1980

Since 1980 is an even number.

 ∴ Its square is also an even number.

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What will be the number of zeros in the square of the following numbers?

(i) 60 (ii) 400


What will be the “one’s digit” in the square of the following numbers?

(i) 1234 (ii) 26387 (iii) 52698

(iv) 99880 (v) 21222 (vi) 9106


How many natural numbers lie between 92 and 102? Between 112 and 122?


How many non-square numbers lie between the following pairs of numbers:

(i) 1002 and 1012 (ii) 902 and 912

(iii) 10002 and 10012


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