Question : What is the smallest value that must be added to 709, so that the resultant is a perfect square?
Option 1: 8
Option 2: 12
Option 3: 20
Option 4: 32
Correct Answer: 20
Solution : 709 + $x$ = perfect square The perfect square nearest to 709 is 729 = 272 $\therefore x$ = 729 – 709 = 20 Hence, the correct answer is 20.
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Question : What smallest value must be added to 508, so that the resultant is a perfect square?
Option 1: 4
Option 2: 9
Option 3: 18
Option 4: 21
Question : What the least value should be added to 2505 so that it becomes a perfect square?
Option 1: 5
Option 2: 20
Option 3: 70
Option 4: 96
Question : The term that should be added to ($4x^2+8x$) so that the resulting expression be a perfect square, is:
Option 1: $2$
Option 2: $4$
Option 3: $2x$
Option 4: $1$
Question : What is the smallest perfect square number that is completely divisible by 4, 6, 9, 12, and 15?
Option 1: 784
Option 2: 900
Option 3: 961
Option 4: 841
Question : What is the simplified value of $(2+1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$?
Option 1: $2^{8}-1$
Option 2: $2^{16}-1$
Option 3: $2^{32}-1$
Option 4: $2^{64}-1$
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