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
Correct Answer: 21
Solution : 508 + $x$ = perfect square The perfect square nearest to 508 is 529 = 232 $\therefore x$ = 529 – 508 = 21 Hence, the correct answer is 21.
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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
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 : For what value of N, 270N will be a perfect square, where 270N is a 4-digit number?
Option 1: 1
Option 2: 6
Option 3: 4
Option 4: 9
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
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