If √((x-1)(y+2))=7, x and y being positive whole numbers, then the values of x and y respectively are · ABC26GN1383

Subject: General Aptitude · Chapter: Square Roots and Cube Roots

If $\sqrt{(x-1)(y+2)}=7, x$ and $y$ being positive whole numbers, then the values of $x$ and $y$ respectively are
(a)8, 5
(b)15, 12
(c)22, 19
(d)None of these
Answer
Answer (as printed): A
Explanation
$$\sqrt{(x-1)(y+2)}=7 \Rightarrow(x-1)(y+2)=(7)^{2} \Rightarrow(x-1)=7$$ and $(y+2)=7 \Rightarrow x=8$ and $y=5$.

Explanation as extracted from the printed page; notation may be imperfect.

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