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A
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Difficulty:
95%
(hard)
Question Stats:
48% (02:26) correct
52%
(02:56)
wrong
based on 124
sessions
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An operator \(<>\) is defined on letters, and the table above shows a few results of the operation. For example, \(QS = 75\) and \(RQ = 26\). Is \(PQ + RQ + SR\) odd?
(1) \(QP + PR + RS\) is odd.
(2) \(PQ + QR + RS\) is even.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Attachment:
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28 Jun 2022, 01:46
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Pre-thinking
PQ+RQ+SR = m+26+n = 26 + (m+n)
In order to answer the question "is PQ+RQ+SR odd", we just need to know whether (m+n) is odd.
(1)Only
m+n+69 is odd
=> m+n is even.
Sufficient. The answer is "No".
(2)Only
m+26+69 is even
m + 95 is even
So m is odd.
But we do not know whether n is odd.
Not sufficient.
The answer is thus (A).
PQ+RQ+SR = m+26+n = 26 + (m+n)
In order to answer the question "is PQ+RQ+SR odd", we just need to know whether (m+n) is odd.
(1)Only
m+n+69 is odd
=> m+n is even.
Sufficient. The answer is "No".
(2)Only
m+26+69 is even
m + 95 is even
So m is odd.
But we do not know whether n is odd.
Not sufficient.
The answer is thus (A).
02 Jul 2022, 00:33
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Bunuel
Ques - PQ+RQ+SR = odd?
=PQ+RQ+SR
=m+26+69
= m + odd (m has to be even to get the sum odd)
is m even?
1) m+n+n=odd
m + 2n = odd, meaning m has to be odd, because n cannot be odd.
therefore answer is no - m is not even. Sufficient
2) m + 26 + n = even
m+n can be either odd+odd or even+even. Insufficient.
Answer - A
