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If d represents the hundredths digit and e represents the [#permalink]
 10 Jul 2011, 08:44
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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
Last edited by Bunuel on 03 Aug 2012, 00:01, edited 1 time in total.
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Re: Decimal Rounding DS [#permalink]
10 Jul 2011, 09:16
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]
31 Jan 2012, 03:53
can anyone help me with detailed explanation ?
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Re: If d represents the hundredths digit and e represents the [#permalink]
31 Jan 2012, 04:25
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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 rulesRounding 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]
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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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If d represents the hundredths digit and e represents the th [#permalink]
21 Jan 2013, 14:05
Source : M Advanced Quant, Chapter 9, Problem 132: 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 a positive perfect square. (2) \sqrt{d}>e^2[Reveal] Spoiler: I have really serious doubts about the correctness of this problem. Please read the spoiler (prompts solution). The whole solution which is given in the book is essentially based on the possibility that e=0.
I can't remember the number of a previous problem in the same book, but I am pretty sure that in cases like 0.4de, by GMAT convention e cannot equal 0, because then 0.4de=0.4d. I remember that this was the case in that other very similar problem. Please correct me if I am wrong. _________________
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Re: If d represents the hundredths digit and e represents the th [#permalink]
21 Jan 2013, 15:21
HumptyDumpty wrote: Source : M Advanced Quant, Chapter 9, Problem 132: 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 a positive perfect square. (2) \sqrt{d}>e^2[Reveal] Spoiler: I have really serious doubts about the correctness of this problem. Please read the spoiler (prompts solution). The whole solution which is given in the book is essentially based on the possibility that e=0.
I can't remember the number of a previous problem in the same book, but I am pretty sure that in cases like 0.4de, by GMAT convention e cannot equal 0, because then 0.4de=0.4d. I remember that this was the case in that other very similar problem. Please correct me if I am wrong. Merging similar topics. Please refer to the solutions above and ask if anything remains unclear.
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Re: If d represents the hundredths digit and e represents the th
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