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P is an integer divisible by 4 and Q is an integer divisible by 3. Which of the following must be odd?
P can be 4,8,12,16,20....
Q can be 3,6,9,12,15,18,21,24....
So, let P=4 and Q=6

A. Q(P+1); 6(4+1)=30 even
B. 2P+3Q ; 2(4)+3(6)=26 even
C. P*Q^2 ; 4*(36)=even
D. P^2*Q^3 : (16)*(216)= even
E. None of the above.

Answer: E
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Given P divisible by 4 and Q divisible by 3. Lets evaluate all options one by one


A. Q(P+1); Q can be 12 and P will be odd (Even + 1); Hence even
B. 2P+3Q ; Even + 3 x (12 for eg) => Even
C. P*Q^2 ; Even x 6^2 => Even
D. P^2*Q^3 : Even x (6^3) => Even

Hence Option E (None of above)
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