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integer problem

Expert replies
by divya23 » Tue May 31, 2011 12:14 pm
Is x an integer?

(1) x + 5 is an integer.

(2) x / 1/4 is an integer.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT SUFFICIENT
[spoiler]
OA = A
my doubt here is 1.5 + 5 = 2 integer but here x is not integer den how ???[/spoiler]
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Source: — Data Sufficiency |

by Stuart@KaplanGMAT » Tue May 31, 2011 12:54 pm
divya23 wrote: OA = A
my doubt here is 1.5 + 5 = 2 integer but here x is not integer den how ???
Hi,

1.5 + 5 = 6.5, not 2. Since 6.5 isn't an integer, x=1.5 is not permitted for statement one.

Here's a good rule to remember regarding integers:

whenever you add, multiply or subtract two integers, the result will always be an integer.

Looking at (1):

x + 5 = int

x = int - 5

Since x is one integer minus another integer, x MUST be an integer.

On the other hand, looking at (2):

x / (1/4) = int
x * 4 = int
x = int/4

Since the rule cited above doesn't apply to division, we have no way of knowing whether x is an integer.
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by divya23 » Tue May 31, 2011 1:05 pm
Holy Shit!!!!!!!! what a stupid mistake....dats y my mum says never give mocks while u r half asleep....m deleting dis post :) lol
stupid girl me
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