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If x is the least number which must be added to 955 to make it a perfect square, then value of \(3x + 2\) is equal to :

  • A.20
  • B.14
  • C.11
  • D.5

Answer: A

The value of \(3x + 2\) is 20.

\[ \begin{aligned} 30^2 &= 900, \quad 31^2 = 961 \\ x &= 961 - 955 = 6 \\ 3x + 2 &= 18 + 2 = 20 \end{aligned} \]

The next perfect square above 955 is 961, so the least number to add is 6. 14, 11 and 5 come from wrong values of x.

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