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In the decimal 3.1de, d and e each represent a digit. If x

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In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post Updated on: 30 May 2013, 23:53
3
8
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (01:00) correct 32% (01:06) wrong based on 300 sessions

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In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of x?

(1) d=4
(2) e=8

Originally posted by raviram80 on 20 May 2012, 20:51.
Last edited by Bunuel on 30 May 2013, 23:53, edited 3 times in total.
Renamed the topic and edited the question.
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 06 Jul 2012, 03:43
5
8
ga99 wrote:
Shouldn't the answer be C: both needed to answer.

Since d is 4 as per statement 1, the approximation also depends on e. If e=0 - 4, then x is 3.1. If e=5 - 9, then the x is 3.2. e would not matter only if d < 4.


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.

BACK TO THE ORIGINAL QUESTION:
In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of x?

According to the rule above the tenth digit of x depends only on d, since it's the first dropped digit.

(1) d=4. Our decimal is 3.14e --> the first dropped digit is 4, so less than 5, hence 3.14e rounded to the nearest tenth is 3.1. Sufficient.

(2) e=8. Clearly not sufficient.

Answer: A.

Hope it's clear.
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Re: Rounded to nearest tenth  [#permalink]

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New post 20 May 2012, 21:20
2
1. d=4..
so the number is 3.14e...... we are suppose to round off to the nearest tenth....so tenth digit is 4 which will be rounded off to 3.1....we are not bothered about e.

2. e= 8

Here the number can be 3.118 whcih will be rounded off to 3.1 or 3.158 which will be rounded off to 3.2......as we are not sure of the value of d we are not sure ...it can have different values.

so the correct answer is A
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 22 May 2012, 07:38
raviram80 wrote:
In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of

(1) d=4
(2) e=8

Folks,

could you clarify this question, I thought E but Gmat prep software says A. I am confused.

Thanks


We need to find out whether d belongs to 0-4 category or 5-9 category. We get this from i) but not from ii). So, A
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 06 Jul 2012, 02:27
Shouldn't the answer be C: both needed to answer.

Since d is 4 as per statement 1, the approximation also depends on e. If e=0 - 4, then x is 3.1. If e=5 - 9, then the x is 3.2. e would not matter only if d < 4.
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 06 Jul 2012, 05:31
1
Its clear now. I was always rounding based on all the digits from right to left and not taking just the first dropped digit.
For e.g. in your example of "5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5." I would always have picked 5.4 I now see how that might not work.
Thanks for the explanation. I overlooked this while preparing.

Bunuel wrote:
ga99 wrote:
Shouldn't the answer be C: both needed to answer.

Since d is 4 as per statement 1, the approximation also depends on e. If e=0 - 4, then x is 3.1. If e=5 - 9, then the x is 3.2. e would not matter only if d < 4.


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.

BACK TO THE ORIGINAL QUESTION:
In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of

According to the rule above the tenth digit of x depends only on d, since it's the first dropped digit.

(1) d=4. Our decimal is 3.14e --> the first dropped digit is 4, so less than 5, hence 3.14e rounded to the nearest tenth is 3.1. Sufficient.

(2) e=8. Clearly not sufficient.

Answer: A.

Hope it's clear.
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 23 May 2013, 07:37
raviram80 wrote:
In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of

(1) d=4
(2) e=8

Folks,

could you clarify this question, I thought E but Gmat prep software says A. I am confused.

Thanks



dude here is the logic if d = 4, then when u round it, we do get a value of 3.2 so its sufficient
2. s2 is not sufficient.
hence a is fine
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 09 Jul 2015, 11:05
raviram80 wrote:
In the decimal 3.1de, d and e each represent a digit. If x represents the decimal 3.1de rounded to the nearest tenth, what is the value of x?

(1) d=4
(2) e=8


CONCEPT: TO round off a number at any place we only need to know the next place digit i.e. to round off tenth we need Hundredth, To round off Hundredth we need only Thousandth digit and so on...

If next place is 0 to 4 then the digit to be rounded off remains same
If next place is 5 to 9 then the digit to be rounded offis rounded up i.e. next digit


Question : 3.1de rounded to the nearest tenth=?

i.e. we only need to know the value of d

Statement 1: d=4
SUFFICIENT

Statement 2: e=8
NOT SUFFICIENT

Answer: option A
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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New post 18 Nov 2016, 23:26
Nice Question
Here decimal=3.1de
rounding x to nearest tenths we will get either =>
3.1 for d=0,1,2,3,4
OR
3.2 fro d=5,6,7,8,9
Hence we need the value of d here
Statement 1 => sufficient => x=3.1
Statement 2 => no clue of d => not sufficient
Hence A
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Re: In the decimal 3.1de, d and e each represent a digit. If x  [#permalink]

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