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# If digit h is the hundredths digit in the decimal d=0.2h6,

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Manager
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If digit h is the hundredths digit in the decimal d=0.2h6, [#permalink]  15 May 2006, 01:28
. If digit h is the hundredthsâ€™ 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

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(1) d < 1/4 -- It means the possible values of d are .246, .234, .224, .214 & .206
Now when we round these numbers, .246 gives .25, .236 gives .24 etc. So we can't be sure of the value.
(2) h < 5 -- Same condition with same alternatives.

So none is sufficient, hence E.
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Director
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mendiratta_1812 wrote:
(1) d < 1/4 -- It means the possible values of d are .246, .234, .224, .214 & .206
Now when we round these numbers, .246 gives .25, .236 gives .24 etc. So we can't be sure of the value.
(2) h < 5 -- Same condition with same alternatives.

So none is sufficient, hence E.

We are asked to round to the nearest tenth.... Your reasoning is okay, but the answer would be D.....
Director
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(1) 1/4 = 0.25, so he can be 4, 3, 2, 1
d=0.246 or 0.236 or 0.226 or 0.216
Not sufficeint as this could round off to 0.24, 0.23 or 0.22

(2) Not sufficient, same reason

Taking together, still not sufficient.
Hence E
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E is the answer. Agree with gmatmba explanation
Manager
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If d<1/4 implies h is 4,3,2,1
In that case possible values of d are
d=0.246,0.236,0.226,0.216 and 0.206
the question asks for finding the tenth digit of d
In all these values of d we have, we will get d=0.2
Same reasoning with with h<5.
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Yes, I admit my previous mistake and answer should be D, because it's tenth.
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but for the value of .246, the value of d at the tenths place is .3 because .246 when rounded becomes .25 which when again rounded becomes .3.
Please correct me if i am wrong.
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Good catch amernassar
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amansingla4 wrote:
but for the value of .246, the value of d at the tenths place is .3 because .246 when rounded becomes .25 which when again rounded becomes .3.
Please correct me if i am wrong.

I too had a doubt regarding this and checked a few sites.
But it is not like that. We just have to look at only the next right digit to decide.
If rounding upto tenths is reqd, just look at the hundredth digit etc..
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