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01 Jul 2016, 04:06
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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?
A. Q(P+1)
B. 2P+3Q
C. P*Q^2
D. P^2*Q^3
E. None of the above.
A. Q(P+1)
B. 2P+3Q
C. P*Q^2
D. P^2*Q^3
E. None of the above.
01 Jul 2016, 04:39
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Given: P is an integer divisible by 4 and Q is an integer divisible by 3
A. Q(P+1)
Let us take Q=6 (divisible by 3) and P=4 (divisible by 4). Q(P+1) is even.
False.
B. 2P+3Q
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). 2P+3Q is even.
False.
C. P*Q^2
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). P*Q^2 is even.
False.
D. P^2*Q^3
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). P^2*Q^3 is even.
False.
E. None of the above.
E is the answer
----------------------------------------------------
P.S. Don't forget to give kudos
A. Q(P+1)
Let us take Q=6 (divisible by 3) and P=4 (divisible by 4). Q(P+1) is even.
False.
B. 2P+3Q
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). 2P+3Q is even.
False.
C. P*Q^2
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). P*Q^2 is even.
False.
D. P^2*Q^3
Let us again take Q=6 (divisible by 3) and P=4 (divisible by 4). P^2*Q^3 is even.
False.
E. None of the above.
E is the answer
----------------------------------------------------
P.S. Don't forget to give kudos
28 May 2017, 17:35
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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?
A. Q(P+1)
B. 2P+3Q
C. P*Q^2
D. P^2*Q^3
E. None of the above.
Solution:
Let us take P & Q to be 12 each, since both numbers are divided by 4 & 3 respectively.
A. Q(P+1)
12*13=even
B. 2P+3Q
24*36=even
C. P*Q^2
(12*12)^2= 144^2= even
D. P^2*Q^3
12^2*12^3 = even
Hence, ANSWER E.
Concept used: When multiplied by EVEN numbers, result will ALWAYS be even. Also when an EVEN number is raised to any power, result will ALWAYS be even.
A. Q(P+1)
B. 2P+3Q
C. P*Q^2
D. P^2*Q^3
E. None of the above.
Solution:
Let us take P & Q to be 12 each, since both numbers are divided by 4 & 3 respectively.
A. Q(P+1)
12*13=even
B. 2P+3Q
24*36=even
C. P*Q^2
(12*12)^2= 144^2= even
D. P^2*Q^3
12^2*12^3 = even
Hence, ANSWER E.
Concept used: When multiplied by EVEN numbers, result will ALWAYS be even. Also when an EVEN number is raised to any power, result will ALWAYS be even.
