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If d represents the hundredths digit and e represents the

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If d represents the hundredths digit and e represents the [#permalink] New post 10 Jul 2011, 07:44
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If d represents the hundredths digit and e represents the thousandths digit in the decimal 0.4de, what is the value of this decimal rounded to the nearest tenth?

(1) d – e is equal to a positive perfect square.
(2) √d > e^2
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Aug 2012, 23:01, edited 1 time in total.
OA added.
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Re: Decimal Rounding DS [#permalink] New post 10 Jul 2011, 08:16
ghostdude wrote:
If d represents the hundredths digit and e represents the thousandths digit in the decimal 0.4de, what is the value of this decimal rounded to the nearest tenth?

(1) d – e is equal to a positive perfect square.
(2) √d > e^2


E
0.451. Decimal rounded tenth=0.5
0.421. Decimal rounded tenth=0.4

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Re: If d represents the hundredths digit and e represents the [#permalink] New post 31 Jan 2012, 02:53
can anyone help me with detailed explanation ?
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Re: If d represents the hundredths digit and e represents the [#permalink] New post 31 Jan 2012, 03:25
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pbull78 wrote:
can anyone help me with detailed explanation ?


If d represents the hundredths digit and e represents the thousandths digit in the decimal 0.4de, what is the value of this decimal rounded to the nearest tenth?

To answer the question we should know whether d\geq{5}.

(1) d – e is equal to a positive perfect square --> easy to get two different result: 0.4de=0.451 (5-1=4=2^2), then 0.4de rounded to the nearest tenth will be 0.5 but if 0.4de=0.421 (2-1=1=1^2), then 0.4de rounded to the nearest nearest tenth will be 0.4. Not sufficient.

(2) \sqrt{d}>e^2 --> also easy to get two different result: if \sqrt{d}=\sqrt{5}>1^2=e^2 or \sqrt{d}=\sqrt{2}>1^2=e^2. Not sufficient.

(1)+(2) 0.451 and 0.421 satisfy both statements and give different values of 0.4de when rounded to the nearest tenth: 0.5 and 0.4. Not sufficient.

Answer: E.

Rounding rules
Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, round up the last digit that you keep. If the first dropped digit is 4 or smaller, round down (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

Hope it helps.

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Re: If d represents the hundredths digit and e represents the [#permalink] New post 02 Aug 2012, 22:51
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0.4de . question -0.x?

st1-d-e =perfect square.
let d-e=4 (d=4; e=0) or d-e=9 (d=9 e =0) insuff

st2- sqrootd>e^2
sqroot4>0 or sqroot9>0. again insuff. as everyone can understand, together these stmnts are also insuff

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Re: If d represents the hundredths digit and e represents the [#permalink] New post 19 Jul 2013, 00:24
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Re: If d represents the hundredths digit and e represents the   [#permalink] 19 Jul 2013, 00:24
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