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Re: What number results if the number x is rounded to the [#permalink]
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Jp27 wrote:
What number results if the number x is rounded to the nearest hundred?

(1) the multiple of 20 that is closest to x is 140.
(2) x is within ten units of 140.

Bunuel - I understand statement 2 says 130 <= x <= 150 hence not sufficient.
I'm confused about statement 1. Can you please help.[/spoiler]


Cheers




Hi

Can anyone more clarify this one

1) the multiple of 20 that is closest to x is 140. = \(131 \leq x \leq 149\)
(2) x is within ten units of 140. = doesn't this also mean the same as 1)
with win 10 units means \(131 \leq x \leq 149\)

What does within mean, can we include 130 and 150 if it says within 10 units of 140, I thought within 10 units to mean less than 10 units

so shouldn't the answer be D?

Originally posted by stne on 18 Aug 2013, 04:29.
Last edited by stne on 20 Aug 2013, 23:26, edited 1 time in total.
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Re: What number results if the number x is rounded to the [#permalink]
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stne wrote:
Bunuel wrote:
stne wrote:
Hi

Can anyone more clarify this one

1) the multiple of 20 that is closest to x is 140. = \(131 \leq x \leq 149\)
(2) x is within ten units of 140. = doesn't this also mean the same as 1)
with win 10 units means \(131 \leq x \leq 149\)

What does with win mean, can we include 130 and 150 if it says with win 10 units of 140, I thought with win 10 units to mean less than 10 units

so shouldn't the answer be D?


What results if the number x is rounded to the nearest hundred?

(1) The multiple of 20 that is closest to x is 140 --> \(130<x<150\). Notice that endpoints (130 and 150) are not inclusive. That's because the distances from 130 to 120 and 140 are the same and we cannot say that 140 is the closest multiple of 20 to 130. The same for 150. Now, \(130<x<150\) implies that x rounded to the nearest hundred is 100. Sufficient.

(2) x is within ten units of 140 --> \(130\leq{x}\leq{150}\). Notice that endpoints (130 and 150) are inclusive. If x=150 then the answer is 200 and if x is any other value then the answer is 100. Not sufficient.

Answer: A.

Similar questions to practice:
the-numbers-x-and-y-are-not-integers-the-value-of-x-is-107346.html
if-500-is-the-multiple-of-100-that-is-closest-to-x-and-99421.html

Hope it helps.


Thank you the confusion was with the word within, I thought " within" meant less than 10 and hence 130 and 150 could not be included. So if it says within 10 units, means 10 and less than 10 units ( \(x \leq 10\) ) inclusive?


Yes, for example within 10 units from 15 is from 5 to 25, inclusive.
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Re: What number results if the number x is rounded to the [#permalink]
Bunuel wrote:
stne wrote:
Jp27 wrote:
What number results if the number x is rounded to the nearest hundred?

(1) the multiple of 20 that is closest to x is 140.
(2) x is within ten units of 140.

Bunuel - I understand statement 2 says 130 <= x <= 150 hence not sufficient.
I'm confused about statement 1. Can you please help.[/spoiler]


Cheers




Hi

Can anyone more clarify this one

1) the multiple of 20 that is closest to x is 140. = \(131 \leq x \leq 149\)
(2) x is within ten units of 140. = doesn't this also mean the same as 1)
with win 10 units means \(131 \leq x \leq 149\)

What does with win mean, can we include 130 and 150 if it says with win 10 units of 140, I thought with win 10 units to mean less than 10 units

so shouldn't the answer be D?


What results if the number x is rounded to the nearest hundred?

(1) The multiple of 20 that is closest to x is 140 --> \(130<x<150\). Notice that endpoints (130 and 150) are not inclusive. That's because the distances from 130 to 120 and 140 are the same and we cannot say that 140 is the closest multiple of 20 to 130. The same for 150. Now, \(130<x<150\) implies that x rounded to the nearest hundred is 100. Sufficient.

(2) x is within ten units of 140 --> \(130\leq{x}\leq{150}\). Notice that endpoints (130 and 150) are inclusive. If x=150 then the answer is 200 and if x is any other value then the answer is 100. Not sufficient.

Answer: A.

Similar questions to practice:
the-numbers-x-and-y-are-not-integers-the-value-of-x-is-107346.html
if-500-is-the-multiple-of-100-that-is-closest-to-x-and-99421.html

Hope it helps.


Thank you the confusion was with the word within, I thought " within" meant less than 10 and hence 130 and 150 could not be included. So if it says within 10 units, means 10 and less than 10 units ( \(x \leq 10\) ) inclusive?
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Re: What number results if the number x is rounded to the [#permalink]
The fact that within inclusive of boundary condition foxed me as well
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What number results if the number x is rounded to the [#permalink]
Bunuel wrote:
stne wrote:
Bunuel wrote:
 

Thank you the confusion was with the word within, I thought " within" meant less than 10 and hence 130 and 150 could not be included. So if it says within 10 units, means 10 and less than 10 units ( \(x \leq 10\) ) inclusive?

Yes, for example within 10 units from 15 is from 5 to 25, inclusive.

­I have 2 questions. 

1 : Does within always imply inclusiveness? 
2 : How does we decide that 150 is closer to 200 than it is closer to 100?


Bunuel KarishmaB­
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