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Re: Rounding number challenge [#permalink]
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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]
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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]
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]
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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]
Good point... tks Bunuel!
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Re: n represent the hundredths digit in the number shown above. [#permalink]
This question is quite confusing because it is asking the reader to look at the answers provided and n could mistakenly be associated with the answer choices, quite disturbing lol...
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Re: n represent the hundredths digit in the number shown above. [#permalink]
The question only mentioned rounding to the hundredths, why would the tenths digit got impacted at all?
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Re: n represent the hundredths digit in the number shown above. [#permalink]
confusing question
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Re: n represent the hundredths digit in the number shown above. [#permalink]
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