Q14 of 67 Page 168

What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?

To find the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11:


L.C.M. of 7 and 11 = 77


Then, required number is of the form = 77x + 1 where x = 1, 2, 3, 4, and so on.



342 = 1156


Hence, 1156 is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11.


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