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Math Expert V
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If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Question Stats: 74% (01:02) correct 26% (01:09) wrong based on 1992 sessions

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If d denotes a decimal, is $$d\geq{0.5}$$ ?

(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.

Practice Questions
Question: 63
Page: 280
Difficulty: 600

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Math Expert V
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Re: If d denotes a decimal, is d>= ?  [#permalink]

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SOLUTION

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(1) When d is rounded to the nearest tenth, the result is 0.5. This statement implies that $$0.45\leq{d}<0.55$$. Not sufficient.

(2) When d is rounded to the nearest integer, the result is 1. d cannot be less than 0.5 because in this case 1 won't be the nearest integer. Sufficient.

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Re: If d denotes a decimal, is d>= ?  [#permalink]

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5
1) d can be any number between 0.45 to .54 --- >Insufficient
2) d can be any number greater than or equal to 0.5-->Sufficient
##### General Discussion
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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1
These one are always tricky for me

We have to know id d is < = or >= 0,5

1) if the number is 0,45 to 0,54 we have the decimal that cuold be 4 or 5 (0,4 or 0,5)

2) if the numbe must be 1 the number ranging from 0,5 to 0,9 but always the decimal will be >= 0,5

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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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1
so statement 1 (1) When d is rounded to the nearest tenth, the result is 0.5.

so if we pick d=0.48 then in this case the answer to is d>=0.5 is NO

but if we pick d=0.53 then in this case it is YES

2 situations YES / NO ambiguity hence insufficient

When d is rounded to the nearest integer, the result is 1.

so for example if d=0.2 then the decimal would be rounded to nearest integer which is 0

but we have been given that it is rounded to 1 so the range is 0.5 to 1.4 in all of those cases it is rounded to 1 hence B is sufficient

Originally posted by nelz007 on 16 Oct 2012, 05:14.
Last edited by nelz007 on 16 Oct 2012, 19:03, edited 1 time in total.
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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1
Statement 1:
round(d,0.1) = 0.5
=>
0.45<=d<=0.54
Not suff as d can have values less than 0.5 as well as greater than 0.5

Statement 2:
round(d,1) =1
=>
0.5 <=d<=1.49
for any value of d here, it is sufficient to answer.

Ans B
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(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.

Practice Questions
Question: 63
Page: 280
Difficulty: 600

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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Its B.. was confused .49 wud be included in option or not...then i thought no..because .51 to1.49 wud b nearest integer 1..
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
If d denotes a decimal, is $$d\geq{0.5}$$ ?

(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.

Solution:

We are given that d is a decimal, and we need to determine whether d is greater than or equal to 0.5.

Statement One Alone:

When d is rounded to the nearest tenth, the result is 0.5.

Using the information in statement one, we can get a multitude of values for d.

For example, d can be 0.51, and 0.51 is greater than or equal to 0.5.

In another case, d can be 0.49, but 0.49 is not greater than or equal to 0.5.

Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

When d is rounded to the nearest integer, the result is 1.

In order for d to be rounded to 1 (when rounded to the nearest integer), the value of d must be at least 0.5. Statement two is sufficient to answer the question.

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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Top Contributor
Bunuel 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.

Target question: Is d ≥ 0.5?

Statement 1: When d is rounded to the nearest tenth, the result is 0.5.
There are several values of d that satisfy statement 1. Here are two:
Case a: d = 0.51 (we get 0.5 when 0.51 is rounded to the nearest tenth). In this case, the answer to the target question is YES, it IS the case that d ≥ 0.5
Case b: d = 0.49 (we get 0.5 when 0.49 is rounded to the nearest tenth). In this case, the answer to the target question is NO, it is NOT the case that d ≥ 0.5
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: When d is rounded to the nearest integer, the result is 1
If we get 1 when d is rounded to the nearest integer, then we know that 0.5 ≤ d < 1.5[/color]
So, it MUST be the case that d ≥ 0.5
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
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If d denotes a decimal, is d>=0.5 ?  [#permalink]

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When the question says "If d denotes a decimal", can that mean that d is for instance 6.1? Isn't 6.1 a decimal? Or is it only 0.XXXXXXX ? I am confused as to the definition of "a decimal". Thank you!
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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gmat800live wrote:
When the question says "If d denotes a decimal", can that mean that d is for instance 6.1? Isn't 6.1 a decimal? Or is it only 0.XXXXXXX ? I am confused as to the definition of "a decimal". Thank you!

A decimal is a fraction that is written in the form of a dot followed by one or more numbers which represent tenths, hundredths, and so on. For example, 0.1, 5.1, ... So, to answer your question, yes, 6.1 is also a decimal.
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
If d denotes a decimal, is $$d\geq{0.5}$$ ?

(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.

Practice Questions
Question: 63
Page: 280
Difficulty: 600

So 0.499 rounded to integer can't be 1 is it?

Rounding off a number means, only that number not the number after it?
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
SOLUTION

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(1) When d is rounded to the nearest tenth, the result is 0.5. This statement implies that $$0.45\leq{d}<0.55$$. Not sufficient.

(2) When d is rounded to the nearest integer, the result is 1. d cannot be less than 0.5 because in this case 1 won't be the nearest integer. Sufficient.

Hi Bunuel

I am confused with respect to Statement 1, if result is 0.5 when d is rounded to nearest tenth range would be 0.45 to 0.49 (instead of 0.54)

Math Expert V
Joined: 02 Sep 2009
Posts: 62287
Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Anurag06 wrote:
Bunuel wrote:
SOLUTION

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(1) When d is rounded to the nearest tenth, the result is 0.5. This statement implies that $$0.45\leq{d}<0.55$$. Not sufficient.

(2) When d is rounded to the nearest integer, the result is 1. d cannot be less than 0.5 because in this case 1 won't be the nearest integer. Sufficient.

Hi Bunuel

I am confused with respect to Statement 1, if result is 0.5 when d is rounded to nearest tenth range would be 0.45 to 0.49 (instead of 0.54)

Let me ask you: what is, say, 0.53 rounded to the nearest tenth?
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
Anurag06 wrote:
Bunuel wrote:
SOLUTION

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(1) When d is rounded to the nearest tenth, the result is 0.5. This statement implies that $$0.45\leq{d}<0.55$$. Not sufficient.

(2) When d is rounded to the nearest integer, the result is 1. d cannot be less than 0.5 because in this case 1 won't be the nearest integer. Sufficient.

Hi Bunuel

I am confused with respect to Statement 1, if result is 0.5 when d is rounded to nearest tenth range would be 0.45 to 0.49 (instead of 0.54)

Let me ask you: what is, say, 0.53 rounded to the nearest tenth?

Oh I got it. Thank you Bunuel. Kudos!
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If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
If d denotes a decimal, is $$d\geq{0.5}$$ ?

(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.

Statement 2:
If $$d≤0.5$$, there is no chance to be the nearest integer 1. The answer is Yes----> Sufficient.

Statement 1:
We should not try for finding Yes answer here because we've an automatic Yes in the statement 2 (as statements don't contradict each other). So, if d=0.45, then No. So, it gives YES and NO answer at a time.-->Insufficient.

The correct choice is
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Re: If d denotes a decimal, is d>=0.5 ?  [#permalink]

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Bunuel wrote:
SOLUTION

If d denotes a decimal, is $$d\geq{0.5}$$ ?

(1) When d is rounded to the nearest tenth, the result is 0.5. This statement implies that $$0.45\leq{d}<0.55$$. Not sufficient.

(2) When d is rounded to the nearest integer, the result is 1. d cannot be less than 0.5 because in this case 1 won't be the nearest integer. Sufficient.

Bunuel
What if d=0.5? If d=0.5 then the nearest integer is 1 or 0. So, should not we consider d≤0.5 in the highlighted part?
Thanks_- Re: If d denotes a decimal, is d>=0.5 ?   [#permalink] 21 Feb 2020, 11:42
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