The numbers x and y are not integers. The value of x

[jnelson0612]

Whoa.. I all along thought "6.5 results when x is rounded to nearest tenth" rephrase is "6.45 ≤ x < 6.55"

Thank you Joe :)

Supratim

Glad that you were helped! :-)

[supratim7]

here's an example:

what number results if the number x is rounded to the nearest hundred?
(1) the multiple of 20 that is closest to x is 140.
(2) x is within ten units of 140.

here, statement (1) means that 130 < x < 150. that's a strict inequality, which doesn't apply to 130 and 150 themselves (since 130 is just as close to 120 as to 140, and 150 is just as close to 160 as to 140).
all of these numbers give 100 when rounded to the nearest hundred, so this statement is sufficient.

So, you mean, as far as the term "rounding" is concerned in GMAT, no ≤ & ≥ are involved, only strict < & > are applicable.

So, "6.5 results when x is rounded to nearest tenth"
Rephrase "6.45 ≤ x < 6.55" INCORRECT
Rephrase "6.45 < x < 6.55" CORRECT
Am I right??

Many thanks | Supratim

Supratim,

That's correct. The GMAT isn't trying to trick you with their language. They're trying to be very explicit and won't choose numbers where your understanding of how to round (traditional vs banking) changes the answer. As Ron pointed out, the original question doesn't even use the words rounding or estimating: "The value of x is closest to which integer"

Hi Joe, you confirmed that as far as the term "rounding" is concerned in GMAT, no ≤ & ≥ are involved, only strict < & > are applicable. But in this (viewtopic.php?f=30&t=4311&view=next) post I see Ron using ≤ & ≥.

I understand that "closest, etc." refers to "< & >" but my question was about "rounding". What am I supposed to infer when the term "rounding" is used??

Many thanks | Supratim

[jlucero]

Hi Joe, you confirmed that as far as the term "rounding" is concerned in GMAT, no ≤ & ≥ are involved, only strict < & > are applicable. But in this (viewtopic.php?f=30&t=4311&view=next) post I see Ron using ≤ & ≥.

I understand that "closest, etc." refers to "< & >" but my question was about "rounding". What am I supposed to infer when the term "rounding" is used??

Many thanks | Supratim

I would say to assume that the GMAT isn't out to trap you with which type of rounding you are using, but from that GMAT Prep question, I guess you can safely assume that 0.4550 rounds up to 0.46, otherwise the answer would be E. Great point, supratim.