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Decimals

by saidov.mikhail » Mon Jul 22, 2013 3:22 am
If d denotes a decimal, is d ≥ 0.5 ?
(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.

OG12 states that correct answer is B. Why if 0,49 rounded to the nearest integer is 1 and 0,62 rounded to the nearest integer is 1 as well?
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by GMATGuruNY » Mon Jul 22, 2013 4:45 am
saidov.mikhail wrote:If d denotes a decimal, is d ≥ 0.5 ?
(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.
On the number line:
When we reach HALFWAY between two values, we round UP.
Any value below the HALFWAY point is rounded DOWN.

Statement 1: When d is rounded to the nearest tenth, the
result is 0.5.
.4-----.45-----.5-----.55-----.6
Any value in the red portion above is rounded to .5.
Since it's possible that d<.5 or that d≥.5, INSUFFICIENT.

Statement 2: When d is rounded to the nearest integer, the
result is 1.
0-----.5-----1-----1.5-----2
Any value in the red portion above is rounded to 1.
Since every value in the red portion is greater than or equal to .5, SUFFICIENT.

The correct answer is B.
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by saidov.mikhail » Mon Jul 22, 2013 5:31 am
Thanks. However with statement 2 it's still unclear. If D is 0,46 and we round it to the nearest integer we get 1 as well, don't we?
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by GMATGuruNY » Mon Jul 22, 2013 9:11 am
saidov.mikhail wrote:Thanks. However with statement 2 it's still unclear. If D is 0,46 and we round it to the nearest integer we get 1 as well, don't we?
I suspect that you're using the following reasoning to round 0.46 to the nearest integer:
0.46 rounded to the nearest tenth = 0.5.
0.5 rounded to the nearest integer = 1.

This is NOT how rounding works.
When we round to the nearest integer, any value LESS THAN HALFWAY between the two integers is rounded DOWN.
Halfway between 0 and 1 is 0.5.
Since 0.46 is less than 0.5, 0.46 is rounded DOWN.
Thus, 0.46 rounded to the nearest integer = 0.
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