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3. Squares and Square Roots
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Q6 of 114 Page 3

Find the least number of six digits which is a perfect square.

We know that,

Least 6 digit number = 100000



The remainder is 144


Therefore,


(316)2 < 100000


Hence, the next perfect square


(317)2 = 100489 > 100000


Hence, 100489 is the required number


More from this chapter

All 114 →
4

Find the greatest number of 5 digits which is a perfect square.

5

Find the least number of 4 digits which is a perfect square.

7

Find the greatest number of 4 digits which is a perfect square.

8

A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.

Questions · 114
3. Squares and Square Roots
1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
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