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If x=15.246, what is the product of x rounded to the tens place and x

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If x=15.246, what is the product of x rounded to the tens place and x  [#permalink]

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New post 09 Apr 2018, 02:43
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:12) correct 47% (01:20) wrong based on 118 sessions

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If x = 15.246, what is the product of x rounded to the tens place and x rounded to the nearest tenth?

A. 152
B. 153
C. 300
D. 304
E. 306
Spoiler: OA

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If x=15.246, what is the product of x rounded to the tens place and x  [#permalink]

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New post 09 Apr 2018, 02:53
1
Bunuel wrote:
If x = 15.246, what is the product of x rounded to the tens place and x rounded to the nearest tenth?

A. 152
B. 153
C. 300
D. 304
E. 306


X rounded to tens place is 20. ( X > 15 and we want to round to tens place)
X rounded to the nearest tenth is 15.2 ( 15.246 rounded up)

So 20 * 15.2 = 304

Hence Option (D) is our answer.

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If x=15.246, what is the product of x rounded to the tens place and x  [#permalink]

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New post 11 Oct 2018, 03:30
Hi Bunuel, I hope you're having a pleasant day. Could you please clarify if the OA above is correct? Shouldn't 15.246 rounded to the nearest tenth be 15.3 as 6 can round up 4 to 5 and 5 can round up 2 to 3, leaving the nearest tenth as 15.3, or are we just going to ignore all the numbers before 4? Please help my understanding here. Thanks

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Re: If x=15.246, what is the product of x rounded to the tens place and x  [#permalink]

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New post 11 Oct 2018, 03:37
Kem12 wrote:
Hi Bunuel, I hope you're having a pleasant day. Could you please clarify if the OA above is correct? Shouldn't 15.246 rounded to the nearest tenth be 15.3 as 6 can round up 4 to 5 and 5 can round up 2 to 3, leaving the nearest tenth as 15.3, or are we just going to ignore all the numbers before 4? Please help my understanding here. Thanks


Posted from my mobile device


15.246 rounded to the nearest tenth is 15.2. You should take into the account only the first dropped digit. So, rounding is not cumulative.

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!

3. Fractions, Decimals, Ratios and Proportions



For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread


Hope it helps.
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DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

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Re: If x=15.246, what is the product of x rounded to the tens place and x  [#permalink]

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New post 11 Oct 2018, 04:54
Wow,Bunuel, thank you so much. Well explained. Enjoy your day.

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Re: If x=15.246, what is the product of x rounded to the tens place and x   [#permalink] 11 Oct 2018, 04:54
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