Q2 of 67 Page 168

The number of perfect squares from 1 to 500 is:

Let us write the square of numbers starting with the square of 1:


1, 4, 9,16,25,36,49,64,81,100


121,144,169,196,225,256,289,324,361,400, 441,484, 529


We see that 484 is the last square that appears from 1 to 500. Also, (22)2 = 22 × 22 = 484.


Hence, the number of perfect squares from 1 to 500 is 22.

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(i) 331776


(ii) 46656


(iii) 373248

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