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Question 824763: What is the result when x is rounded to the nearest hundredth?
(1)When x is rounded to the nearest thousandth the result is 0.455.
(2) The thousandths digit of x is 5
if (1) alone is sufficient to answer the question, answer is A. if (2) alone is sufficient to answer the question, answe is B. if (1) and (2) together are sufficient to answer, then answe is C. if each of (1) and (2) alone is sufficient to answer, answer is D.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! NOT A:
If x, rounded to the nearest thousandth is 0.455,
 ,
because  would be rounded up to  ,
and  would be rounded down to ,
but  would be rounded down to  ,
and  would be rounded up to  .
That is not enough information to find the result when x is rounded to the nearest hundredth,
because when rounding to the nearest hundredth,
 , or  ,
or any number  such that ,
would be rounded down to  ,
but , or  ,
or any number such that  ,
would be rounded up to  .
NOT B (at least not the way I read it):
If  the thousandths digit of x is 5,
but the result when x is rounded to the nearest hundredth is  .
There are many numbers that have a 5 for the thousandths digit
We need to know the other digits too.
If the higher value digits were ,
it could be  , which would round up to .
 = (1) AND (2) TOGETHER:
(1) means that
(1) along with (2) means that  ,
and would round up to for sure.
WARNING:
If by "(2) The thousandths digit of x is 5" we are supposed to assume that we somehow know that the digits to the left of the thousandths digit are ,
then B would be the answer.
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