1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider three decision problems $${P_1},$$ $${P_2}$$ and $${P_3}.$$ It is known that $${P_1}$$ is decidable and $${P_2}$$ is un-decidable. Which of the following is TRUE?
A
$${P_3}$$ is decidable if $${P_1}$$ is reducible to $${P_3}$$
B
$${P_3}$$ is in-decidable if $${P_3}$$ is reducible to $${P_2}$$
C
$${P_3}$$ is un-decidable if $${P_2}$$ is reducible to $${P_3}$$
D
$${P_3}$$ is decidable if $${P_3}$$ is reducible to $${P_2}'s$$ complement
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