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24 Apr 2020, 21:11
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:40) correct
31%
(01:20)
wrong
based on 42
sessions
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Not Attempted Yet
P > Q > R > S, and all of them are integers. S is positive, is \(\frac{PQ}{RS} \)an integer?
1. P and Q are prime numbers.
2. R and S are prime numbers.
1. P and Q are prime numbers.
2. R and S are prime numbers.
24 Apr 2020, 21:41
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Evo23
Since S is positive, all other integers are also positive.....P>Q>R>S>0..
is \(\frac{PQ}{RS} \)an integer? ------------- Only if R and S are factors of P or Q.
Now P and Q are greater than both R and S so R and s can be factors of P and Q
1. P and Q are prime numbers.
So P and Q have only 1 factor less than itself, and that is 1. So, it is possible that S =1, but what about R.
R cannot be 1, as it is > S, so R>1. As P and Q are Prime and >R, R cannot be a factor of either P or Q.
Thus our answer will always be NO, as R cannot evenly divide PQ.
Sufficient
2. R and S are prime numbers.
Say 6>5>3>2...so \(\frac{6*5}{3*2}=5\)..Yes
say 7>5>3>2....so \(\frac{7*5}{3*2}\) is not an integer
Insufficient
A
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