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n represent the hundredths digit in the number shown above.

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n represent the hundredths digit in the number shown above. [#permalink] New post 12 Jul 2012, 08:31
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83% (01:46) correct 17% (00:52) wrong based on 88 sessions
Consider a Number 3.1n5

n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?

A. 0
B. 2
C. 4
D. 5
E. 6
[Reveal] Spoiler: OA

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Last edited by Bunuel on 18 May 2014, 00:08, edited 2 times in total.
Edited the question.
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Re: Rounding number challenge [#permalink] New post 12 Jul 2012, 09:44
thevenus wrote:
Consider a Number 3.1n5

n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?

A.0

B.2

C.4

D.5

E.6

Explanation only, will be appreciated.


HI All,

I got this one in 53 seconds, please let me know in case there is any faster way to solve these kinds of questions.

In theis ques we are given the thousandth digit as 5, so the hundreth digit can take any value from 0-9. For the hundreth digit i considered 2 set of values (i) 0, 1, 2, 3 and (ii) 4, 5, 6, 7, 8, 9. Given that the thousandth digit is 5, the undreth digit has to go up by 1, and correspondingly, the tenth digit should also increase by 1 ( provided the hundreth digit is from the 2nd category. Since B was the only one amongst the feasable ans choise, i selected B .
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Re: Rounding number challenge [#permalink] New post 12 Jul 2012, 10:02
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3.1n5 - if rounded upto tenth digit, it can either be 3.1 or 3.2 .
since 1 is not in choice, so 2 is the answer.

30 seconds. strip of the extra information : If the number is rounded to the nearest hundredth
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Re: Rounding number challenge [#permalink] New post 12 Jul 2012, 10:51
Expert's post
ahmed2502 wrote:
3.1n5 - if rounded upto tenth digit, it can either be 3.1 or 3.2 .
since 1 is not in choice, so 2 is the answer.

30 seconds. strip of the extra information : If the number is rounded to the nearest hundredth
Very good summary!

Rounding can only do two things to a digit that remains in the number: leave a digit unchanged, or increase a digit by 1 (which can reset a 9 to a zero and increase the NEXT digit).

Since the tenths digit is currently a 1, almost everything else in the Q-stem is irrelevant. The tenths digit can never round to anything other than a 1 or a 2, and so (B) is the only possible answer.
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Re: n represent the hundredths digit in the number shown above. [#permalink] New post 12 Jul 2012, 11:41
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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.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

Hope it helps.

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Re: n represent the hundredths digit in the number shown above. [#permalink] New post 17 May 2014, 17:28
In my opinion this question is wrong.. If you round the number to the nearst hundredth, the tenth digit will certainly be 1.
But this options is not available..

Am I right?
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Re: n represent the hundredths digit in the number shown above. [#permalink] New post 18 May 2014, 00:12
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felipelengert wrote:
In my opinion this question is wrong.. If you round the number to the nearst hundredth, the tenth digit will certainly be 1.
But this options is not available..

Am I right?


No. If n=9, then 3.1n5 rounded to the nearest hundredth would be 3.2.
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Re: n represent the hundredths digit in the number shown above. [#permalink] New post 18 May 2014, 16:38
Good point... tks Bunuel!
Re: n represent the hundredths digit in the number shown above.   [#permalink] 18 May 2014, 16:38
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