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Squares And Square Roots

Question
CBSEENMA8002413
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Which of 1232, 772 822, 1612, 1092 would end with digit 1?

Solution

The squares of those numbers end in 1 which end in either 1 or 9. The squares of 161 and 109 would end in 1.

Property 3. When a square number ends in 6, then the number whose square it is, will have 4 or 6 in its unit place.

Some More Questions From Squares and Square Roots Chapter

Which of 1232, 772 822, 1612, 1092 would end with digit 1?

Which of the following numbers would have digit 6 at unit place.

(i) 192 (ii) 242 (iii) 262

(iv) 362 (v) 342

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

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

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

(i) 60 (ii) 400

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

Find whether each of the following numbers is a perfect square or not?

(i) 121 (ii) 55 (iii) 81

(iv) 49 (v) 69

Do you think the reverse is also true, i.e. is the sum of any two consecutive positive integers is perfect square of a number? Give example to support your answer.

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