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If x and y each represent a single digit, does the number 8.3xy round

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If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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Tough and Tricky questions: Decimal.



If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

(1) x = 5
(2) y = 9
[Reveal] Spoiler: OA

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Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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New post 27 Oct 2014, 14:33
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Answer is A

If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

Question is asking if 8.3xy = 8.3 when tenth place of decimal is rounded. Tenth's place is 3 and it should remain 3. Which means x should be 0,1,2,3 or 4. Anything 5 and above will make it 3.4.

1) x = 5.
The number will not be equal to 8.3 Sufficient.

2) y = 9.
This does not tell about x. Not Sufficient.

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Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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New post 29 Aug 2017, 22:57
Bunuel wrote:

Tough and Tricky questions: Decimal.



If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

(1) x = 5
(2) y = 9


I pick choice answer "C" for this question. I do not understand why Answer choice "A" is the correct one since 8.35 is half way between 8.30 and 8.40.

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Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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New post 29 Aug 2017, 23:20
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nawaf52 wrote:
Bunuel wrote:

Tough and Tricky questions: Decimal.



If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

(1) x = 5
(2) y = 9


I pick choice answer "C" for this question. I do not understand why Answer choice "A" is the correct one since 8.35 is half way between 8.30 and 8.40.


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.

So, according to the above 8.35y rounded to the nearest tenth will be 8.4 irrespective of the value of y.

For mote on this check the following posts:
Math: Number Theory
Rounding Rules on the GMAT: Slip to the Side and Look for a Five!

For all other subject check the following posts:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135175 [1], given: 12668

Re: If x and y each represent a single digit, does the number 8.3xy round   [#permalink] 29 Aug 2017, 23:20
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