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if digit h is the hundredths' digit in the decimal

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if digit h is the hundredths' digit in the decimal [#permalink] New post 14 Jul 2009, 13:46
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A
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D
E

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if digit h is the hundredths' digit in the decimal d=0.2h6,what is the value of d, rounded to the nearest tenth?

1) d<1/4
2)h<5

please explain.
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Re: digit [#permalink] New post 14 Jul 2009, 20:44
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I think its E

1. d<0.25
if it is 0.246, rounded to the tenth is 0.3 (0.25 rounded to hundredth)

if is it 0.236 then it is 0.2


2 h<5

again 0.246 or 0.236
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Re: digit [#permalink] New post 14 Jul 2009, 14:14
1. This alone is SUFFICIENT. d rounded to the nearest tenth must be 0.2 because h must be 4 or less.
2. This alone is SUFFICIENT. d rounded to the nearest tenth must be 0.2 because h must be 4 or less.

D

Last edited by topher on 15 Jul 2009, 07:20, edited 1 time in total.
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Re: digit [#permalink] New post 14 Jul 2009, 15:21
D

If D<.25 then .2h6<.250
that is h cannot be greater than 5 so when rounding to tenth we will consider only h and since it is less than 5 so answer would be .2

Similarly, when h<5 ie it can be 4, 3, 2, 1 or 0
Same thing hold true here..
Ans D.
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Re: digit [#permalink] New post 14 Jul 2009, 17:29
if digit h is the hundredths' digit in the decimal d=0.2h6,what is the value of d, rounded to the nearest tenth?

1) d<1/4 - d < 0.25. So d can be anything like 0.246, 0.236, 0.216, 0.226 0.206 etc etc....In any case, d rounded to the nearest tenth will always be 0.2. SUFFICIENT

2)h<5 This again confirms that d rounded to nearesr tenth can only be 0.2

Hence answer shoud be D. Please post the OA
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Re: digit [#permalink] New post 15 Jul 2009, 00:17
Each stmt is sufficient to ans.
Ans "D"
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Re: digit [#permalink] New post 15 Jul 2009, 06:21
I am always confused between these two options

Quote:
d<0.25
if it is 0.246, rounded to the tenth is 0.3 (0.25 rounded to hundredth)


vs

Quote:
d<1/4 - d < 0.25. So d can be anything like 0.246, 0.236, 0.216, 0.226 0.206 etc etc....In any case, d rounded to the nearest tenth will always be 0.2. SUFFICIENT


I personally go with first quote, because for me 0.246 should be 0.3. because I start from right
0.246 --> 0.25 --> 0.3

but looks like gmat has its own convention. If some one could explain this ,it will be of great help !
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Re: digit [#permalink] New post 15 Jul 2009, 17:52
Thanks for the reply..
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Re: digit [#permalink] New post 15 Jul 2009, 19:55
Vannu, what is the OA? And also mention the source....
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Re: digit [#permalink] New post 17 Jul 2009, 22:29
vannu wrote:
if digit h is the hundredths' digit in the decimal d=0.2h6,what is the value of d, rounded to the nearest tenth?

1) d<1/4
2)h<5

please explain.


FROM ONE

0.2H6<0.25 THUS H IS 0,1,2,3,4..........AND IN ANY CASE D ROUNDED TO THE NEAREST TENTH WOULD BE =0.2

FROM2

H<5 THUS GIVES THE SAME AS 1 .....SUFF
D
Re: digit   [#permalink] 17 Jul 2009, 22:29
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