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Is the positive integer x evenly divisible by at least two integers

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Is the positive integer x evenly divisible by at least two integers  [#permalink]

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New post 26 Jun 2018, 05:09
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Difficulty:

  45% (medium)

Question Stats:

66% (01:13) correct 34% (01:51) wrong based on 43 sessions

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Re: Is the positive integer x evenly divisible by at least two integers  [#permalink]

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New post 26 Jun 2018, 06:01
Bunuel wrote:
Is the positive integer x evenly divisible by at least two integers, each of which is greater than 1?

(1) x is even.

(2) 40 < x < 50


So what are we looking for..
Evenly divisible by at least two integers, which are >1 MEANS composite number.
So we are looking if x is prime or not..

1) X is even..
If x is 2, Ans is NO
Otherwise always YES as all even numbers except 2 are not prime..
Insufficient

2) 40<X<50
If 41, a prime number NO
If 42, 45 etc, YES
Insufficient

combined
We are looking at even numbers between 40 and 50..
All these will not be prime, so Ans is always YES
Sufficient

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is the positive integer x evenly divisible by at least two integers  [#permalink]

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New post 26 Jun 2018, 14:03
Question is asking whether x is prime?

1. X =2 doesn't work
X any other even number - works
- Not Suff

2. Odd numbers -- Works for everything but 41
Even numbers are good
Not Suff

Both together
42, 44, 46, 48 - All Not prime. SUff

C it is
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Re: Is the positive integer x evenly divisible by at least two integers &nbs [#permalink] 26 Jun 2018, 14:03
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Is the positive integer x evenly divisible by at least two integers

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