1000 DS Sec-4, Q-11

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1000 DS Sec-4, Q-11

by akg_gmat » Wed Aug 06, 2008 8:15 pm
Plz explain... :(
According to me, the answer is A

What is the value of x?
(1) When x is multiplied by 8, the result is between 50 and 60.
(2) When x is doubled, the result is between 10 and 15.

OA: E

Thanx in advance...[/spoiler]

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by P_mashru » Wed Aug 06, 2008 9:55 pm
question ask about value of X, without any specification (non zero, +ve, -ve, fraction)

1) is suff only if x is given as positive integer but same condition is not given. not suff

2) is not suff even if x is given as positive integer b'se of ambiguity, weather x=6 or 7. not suff

combining 1) & 2) is not suff b'se 1) says 6 & 7 while 1) wants 8

Answer E
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Re: 1000 DS Sec-4, Q-11

by Ian Stewart » Thu Aug 07, 2008 4:16 am
akg_gmat wrote:Plz explain... :(
According to me, the answer is A

What is the value of x?
(1) When x is multiplied by 8, the result is between 50 and 60.
(2) When x is doubled, the result is between 10 and 15.

OA: E

Thanx in advance...[/spoiler]
If you answered A, I'm sure you fell into one of the more common traps in Data Sufficiency- you assumed x was a positive integer. Unless you're told that, you cannot assume that. From 1), all we know is that:

50 < 8x < 60
50/8 < x < 60/8
6.25 < x < 7.5

So x might be 6.88, or x might be 7. Insufficient.

From 2), all we know is that
10 < 2x < 15
5 < x < 7.5

Together, we still only know that 6.25 < x < 7.5. So the answer is E.
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by akg_gmat » Thu Aug 07, 2008 8:41 am
thanx Ian....

it's totally unbelievable how i could fall into such a trap.

thanx again! :)