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If d represents the hundredths digit and e represents the [#permalink]

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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

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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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.

Re: If d represents the hundredths digit and e represents the [#permalink]

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28 Aug 2014, 04:52

Hello from the GMAT Club BumpBot!

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Re: If d represents the hundredths digit and e represents the [#permalink]

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14 Oct 2014, 01:43

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

we are allowed to use numbers < 10.

1. there are only 3 perfect squares in the available range. 1; 4; 9.

Pick 4. If d-e=4 then d might be 4 and e 0 or d might be 7 and e 3. If d=4 then our decimal remains 0.4; If d=7 our decimal becomes 0.5

NS.

2. since we know for sure that we are dealing with positive integers+0 we can safely say that if the square root of a number is greater than another number to the power of n, then the number under square root must be greater than the number to the power of n. This conveys us that d>e.

NS

1+2) Both cases on statement 1) hold. (E)
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If d represents the hundredths digit and e represents the thousandths [#permalink]

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21 Nov 2014, 07:47

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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 a positive perfect square. (2) d^(1/2) > e^2

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) d^(1/2) > e^2

Merging similar topics. Please search before posting.
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Re: If d represents the hundredths digit and e represents the [#permalink]

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23 Feb 2016, 06:47

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If d represents the hundredths digit and e represents the [#permalink]

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19 Nov 2016, 01:04

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

Amazing Question Let n=0.4de Here when we round n to nearest thousandths we will get either=> 0.4 for d≤4 OR 0.5 for d≥5 hence in this question we are concerned about the value of d. statement 1 d-e=positive perfect square numerous values are possible e.g=> n=0.454 n=0.487 n=0.421 n=9.451 Hence insufficient as we can have d<5 so ≥5. Statement 2 hmm since d and e are both positive and we can square on both sides of any inequality for which both of its sides are positive we get=> d>e^4 hmm numerous values are possible e.g=> n=0.421 n=0.491 n=0.451 etc hence insufficient combining the two statements we can still get two-bound cases n=0.421 n=0.451 hence E
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