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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.

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

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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.

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.

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

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06 Jul 2012, 05:31

1

This post received KUDOS

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.

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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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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07 Dec 2017, 03:53

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