If 2 < x < 6, what is the value of x? (1) 15 is a multiple of x. (2) 2

Has it been mentioned anywhere that x is an integer?? I guess the correct answer should be E.

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As x is not an integer, correct answer should be C

Could someone please explain how can B be the answer? It's not mentioned anywhere that x is an integer.

Cheers!

pankajpatwari Diwakar003
We are told 21 is a multiple of x, in the range 2 < x < 6, only 3 satisfies the condition.
Hope that's clear.

Hi Sreyosi,

Thanks for your quick reply. Yes, we are told 21 is a multiple of x but not an integral multiple of x. Do both multiple and integral multiple mean the same? If yes, then the answer could very well be B.

Cheers!

Hi Sreyoshi007
It is nowhere mentioned that X is an integer. Then dont you think that answer should be E?

Regards,
Tamal

I think answer is E is as well. Condition “integer” isn’t mentioned anywhere.

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Quite a few people are confused that answer should be E because its not mentioned that 'x' is an integer.

But the thing is, that when we talk about factors/multiples, then both factor and multiple being talked about have to be integers only, otherwise the words 'factors' and 'multiples' will not make sense.

Eg, if we say that x is a factor of 15, then we have to assume that x is a positive integer and a factor of 15, so x can only be 1 or 3 or 5 or 15.
Similarly if we say that Y is a multiple of 15, then Y has to be an integer which is a multiple of 15, eg, Y can be 15*4 (60) or 15*15 (225) or 15*578 and so on.. But Y cannot be 15*-2 (-30) and Y also cannot be 15*2.5 etc.

Can someone please explain whether we will always assume x to be a integer when it is given that x is a multiple?

chetan2u
gmatbusters
VeritasKarishma
daagh

Hi
Yes if X is given to be a multiple, it is an integer.

Multiple is defined for integer only.

"A multiple of a number is that number multiplied by an integer."



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Yes, whenever we talk of a multiple or a factor, we talk of an integer..

5 will not be a multiple of 2.5..
Mutiple means integers that come in a multiplication table

1) 15=A* x

c could be 3 or 5 insufficient. If A is 5 then x is 3. If A is 3 then x is 5.

2) 21 = B*x

x can be 3 or 7, since it cannot be 7 then it is 3.

Sufficient.

Answer choice B.

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