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If x is a positive integer, which of the following is not necessarily

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If x is a positive integer, which of the following is not necessarily  [#permalink]

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New post 19 Sep 2018, 07:21
2
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A
B
C
D
E

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Question Stats:

32% (01:23) correct 68% (01:12) wrong based on 19 sessions

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If x is a positive integer, which of the following is not necessarily a divisor of x(x+1)(x+2)x(x+1)(x+2)?

a)x
b)2
c)3
d)4
e)6

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Re: If x is a positive integer, which of the following is not necessarily  [#permalink]

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New post 19 Sep 2018, 08:33
sahilkak wrote:
If x is a positive integer, which of the following is not necessarily a divisor of x(x+1)(x+2)x(x+1)(x+2)?

a)x
b)2
c)3
d)4
e)6



IMO, Answer should be "C". Please explain how OA is "D".

My solution:

If x= Odd:
Then => x(x+1)(x+2)x(x+1)(x+2)= Even
If x=Even:
Then => x(x+1)(x+2)x(x+1)(x+2)= Even

In both the cases, expression yields Even no. hence This expression can be divisible by all mentioned in the above options except "C" i.e. 3.

Please correct me if i am wrong.
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Re: If x is a positive integer, which of the following is not necessarily  [#permalink]

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New post 19 Sep 2018, 08:43
Question seems wrong. x(x+1)(x+2) is this suppose to be twice ?
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Re: If x is a positive integer, which of the following is not necessarily  [#permalink]

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New post 19 Sep 2018, 08:48
AnupamKT wrote:
sahilkak wrote:
If x is a positive integer, which of the following is not necessarily a divisor of x(x+1)(x+2)x(x+1)(x+2)?

a)x
b)2
c)3
d)4
e)6



IMO, Answer should be "C". Please explain how OA is "D".

My solution:

If x= Odd:
Then => x(x+1)(x+2)x(x+1)(x+2)= Even
If x=Even:
Then => x(x+1)(x+2)x(x+1)(x+2)= Even

In both the cases, expression yields Even no. hence This expression can be divisible by all mentioned in the above options except "C" i.e. 3.

Please correct me if i am wrong.


i was also mistaken in this question:
Here is official explanation


We’ll go for ALTERNATIVE since we’re asked about an expression with variables.

When looking at the answers, xx is definitely a divisor, since it is a multiplier in the expression itself. But what about the rest of the answers? Since this is an expression with only letters, we can pick a number: x=1x=1 gives us 1×2×3=61×2×3=6. So 2, 3, and 6 are all divisors of 6, but 4 isn’t.
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Re: If x is a positive integer, which of the following is not necessarily  [#permalink]

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New post 19 Sep 2018, 08:49
pandeyashwin wrote:
Question seems wrong. x(x+1)(x+2) is this suppose to be twice ?



Keep in mind, the question reads: "which of the following is not NECESSARILY a divisor of x(x+1)(x+2)x(x+1)(x+2)?" That means there will be some answer choices where they all work. But you need to find the one where one of them doesn't work. Even though 4 is divisible when X=4, it is not divisible when X=1. The other answer choices will be divisible regardless of what X is equal to. So if you try X=4 and can't determine the correct answer, try incrementing your X value by one until you find the correct answer
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Re: If x is a positive integer, which of the following is not necessarily &nbs [#permalink] 19 Sep 2018, 08:49
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