A) an Even number
B) an odd number
C) an odd prime number
D) a prime number
Correct Answer: A
Solution :
\[{{P}_{1}}^{2}-{{P}_{2}}^{2}=:\left( \underset{\begin{smallmatrix} \downarrow - \\ odd \end{smallmatrix}}{\mathop{{{p}_{1}}}}\,-\underset{odd}{\mathop{\underset{\downarrow }{\mathop{{{p}_{2}}}}\,}}\, \right)\left( \underset{\begin{smallmatrix} \downarrow \\ odd \end{smallmatrix}}{\mathop{{{p}_{1}}}}\,+\underset{odd}{\mathop{\underset{-\downarrow }{\mathop{{{p}_{2}}}}\,}}\, \right)\] (\[\because \]odd - odd = Evan) \[(5-3=2)\] \[Even\times Even=Even\]
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