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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x Updated on: 06 Jul 2006, 01:27
Originally posted by kevincan on 05 Jul 2006, 16:21.
Last edited by kevincan on 06 Jul 2006, 01:27, edited 1 time in total.
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x . If x is a positive integer, how many different non-integer quotients can be generated if the dividend and divisor are both members of W?

(1) x is an even number.
(2) 30<x<35



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MA
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 05 Jul 2006, 19:03
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kevincan
Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x. If (xxx) is a positive integer, how many different non-integer quotients can be generated if the dividend and divisor are both members of W?

(1) x is an even number.
(2) 30<x<35
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this is a good question but i guess the red part should be x, which you are missing. make sure i am correct or not...

i go with B. no matter whether it is even or odd, nothing is evenly divided by the members of set W except 1.
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 00:21
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MA
kevincan
Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x. If (xxx) is a positive integer, how many different non-integer quotients can be generated if the dividend and divisor are both members of W?

(1) x is an even number.
(2) 30<x<35

this is a good question but i guess the red part should be x, which you are missing. make sure i am correct or not...

i go with B. no matter whether it is even or odd, nothing is evenly divided by the members of set W except 1.
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I agree.
when 30<x<35........ doesnot matter whether it is even or odd. No number is even divide.

whereas 1) is ambigous........ it can be a number like 2 or 50 both will have different number of non-integer quotients
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 04:12
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amansingla4
D...
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Could you please explain how it is D
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GMATT73
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 07:23
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I`ll guess (B) too. Statement 1 is too broad and can result is several positive divisors like 6, 10, 26, etc...

Statement narrows the range to a set of non-divisible integers, both even and odd.
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 12:32
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B...but plz explain how it can be B
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 19:26
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jeunesis
B...but plz explain how it can be B
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Lets see.
1. is not suff, because depending of the value of x the number of non-int quotients will be different. If x is 10 then 10/5 is not a non-int quotient, but if x is lets say 34 then 5/34 or 34/5 are both non-int quotients. So again, it depends on the value of x.
2. is suff, since it doesnt matter if x is even or odd, the number of non-int quotients will be same.

Hope this helps.
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Set W is comprised of the numbers 1, 5, 9, 13, 21, 25 and x 06 Jul 2006, 19:36
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shampoo
jeunesis
B...but plz explain how it can be B

Lets see.
1. is not suff, because depending of the value of x the number of non-int quotients will be different. If x is 10 then 10/5 is not a non-int quotient, but if x is lets say 34 then 5/34 or 34/5 are both non-int quotients. So again, it depends on the value of x.
2. is suff, since it doesnt matter if x is even or odd, the number of non-int quotients will be same.

Hope this helps.
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Good explanation. Chosing the second element 5, we can easily see that the number of non-integer results would be dependent on the fact whether x is a multiple of 5 or not. So the number of such results can vary. Hence invalid.

For (II) x belongs to {31,32,33,34}. Since all of these numbers are greater than all other numbers in W, the number of non-integer results can be precisely determined. So B.



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