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harsh.champ
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What is the value of (2P + Q) if it is divisible by 4? (Here, each of P, Q, R and S are positive integers)
A: P x Q = 2.
B: P + Q + R + S = 6 and R > S.
[spoiler]
Using statement A:
Since each of P, Q, R and S are positive integers and
P x Q = 2, then P and Q are either 1 or 2 respectively.
But since it is given that (2P + Q) is divisible by 4, P and Q
cannot be equal to 2 and 1 respectively.
Therefore, P = 1 and Q = 2.
Hence, statement A alone is sufficient to answer the question.
Using statement B:
Please note that neither of P, Q, R and S can take values 6, 5,
4 or 3. (Since, P + Q + R + S = 6)
Now, since R > S, R should be 2 and S should be 1.
Similarly, P = 1 and Q = 2 as (2P + Q) is divisible by 4.
Hence, statement B alone is sufficient to answer the question.[/spoiler]
A: P x Q = 2.
B: P + Q + R + S = 6 and R > S.
[spoiler]
Using statement A:
Since each of P, Q, R and S are positive integers and
P x Q = 2, then P and Q are either 1 or 2 respectively.
But since it is given that (2P + Q) is divisible by 4, P and Q
cannot be equal to 2 and 1 respectively.
Therefore, P = 1 and Q = 2.
Hence, statement A alone is sufficient to answer the question.
Using statement B:
Please note that neither of P, Q, R and S can take values 6, 5,
4 or 3. (Since, P + Q + R + S = 6)
Now, since R > S, R should be 2 and S should be 1.
Similarly, P = 1 and Q = 2 as (2P + Q) is divisible by 4.
Hence, statement B alone is sufficient to answer the question.[/spoiler]
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Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.
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