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If digit h is the hundredths' digit in the decimal d=0.2h6,

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If digit h is the hundredths' digit in the decimal d=0.2h6, [#permalink] New post 30 Sep 2010, 02:24
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If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth?

(1) d < 1/4
(2) h < 5
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 Sep 2012, 04:55, edited 1 time in total.
Edited the question.
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Re: hundreth digit [#permalink] New post 30 Sep 2010, 02:36
vanidhar wrote:
if digit h is the hundredths' digit in the decimal d=0.2h6, what is the value od d, rounded to the nearest tenth?

1) d< 1/4
2) x-y = 1/ (x+y)


Statement (2) should be: h<5 (x and y have nothing to do with this problem).

Given: d=0.2h6.

(1) d<\frac{1}{4}=0.25 --> h<5 (0.2<d<0.25)--> d, rounded to the nearest tenth will be 0.2. Sufficient.

(2) h<5 --> the same as above: d, rounded to the nearest tenth will be 0.2. Sufficient.

Answer: D.

Note:
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.

Also:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
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Re: hundreth digit [#permalink] New post 30 Sep 2010, 15:42
vanidhar wrote:
if digit h is the hundredths' digit in the decimal d=0.2h6, what is the value od d, rounded to the nearest tenth?

2) x-y = 1/ (x+y)


X and Y ???????
:dunnow
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Re: hundreth digit [#permalink] New post 16 Oct 2010, 07:47
got confused...:(
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Re: hundreth digit [#permalink] New post 20 Sep 2012, 04:51
Bunuel wrote:
vanidhar wrote:
if digit h is the hundredths' digit in the decimal d=0.2h6, what is the value od d, rounded to the nearest tenth?

1) d< 1/4
2) x-y = 1/ (x+y)


Statement (2) should be: h<5 (x and y have nothing to do with this problem).

Given: d=0.2h6.

(1) d<\frac{1}{4}=0.25 --> h<5 (0.2<d<0.25)--> d, rounded to the nearest tenth will be 0.2. Sufficient.

(2) h<5 --> the same as above: d, rounded to the nearest tenth will be 0.2. Sufficient.

Answer: D.

Note:
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.

Also:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS



Hi Bunuel,

How will statement 2) x-y = 1/ (x+y) will help in answering the question.
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Re: hundreth digit [#permalink] New post 20 Sep 2012, 04:54
fameatop wrote:
Bunuel wrote:
vanidhar wrote:
if digit h is the hundredths' digit in the decimal d=0.2h6, what is the value od d, rounded to the nearest tenth?

1) d< 1/4
2) x-y = 1/ (x+y)


Statement (2) should be: h<5 (x and y have nothing to do with this problem).

Given: d=0.2h6.

(1) d<\frac{1}{4}=0.25 --> h<5 (0.2<d<0.25)--> d, rounded to the nearest tenth will be 0.2. Sufficient.

(2) h<5 --> the same as above: d, rounded to the nearest tenth will be 0.2. Sufficient.

Answer: D.

Note:
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.

Also:
1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS



Hi Bunuel,

How will statement 2) x-y = 1/ (x+y) will help in answering the question.


Where do you see x-y = 1/ (x+y) in the post you quote?
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


What are GMAT Club Tests?
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Re: hundreth digit   [#permalink] 20 Sep 2012, 04:54
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