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What number results if the number x is rounded to the

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What number results if the number x is rounded to the [#permalink] New post 06 Nov 2012, 00:23
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A
B
C
D
E

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29% (02:29) correct 71% (00:56) wrong based on 55 sessions
What 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Aug 2013, 01:04, edited 1 time in total.
Edited the OA.
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Re: what number results if the number x is rounded... [#permalink] New post 06 Nov 2012, 00:49
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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.
Cheers


Statement 1:
multiple of 20 that is closest to x is 140.

Multiples of 20 are (...120, 140, 160......) and we know that closest one is 140. That would mean X has to be greater than 130 and less than 150 ( 130<x<150) for condition to be true.
(Note, if x is less than 130, then it would be closer to 120 not 140. Also it can not be 130 as then it would be close to both 120 and 140.. same logic for 150)

But in such case, it is sufficient to answer the question. As rounding 149 would give 100 and 130 would also give 100.
Sufficient.

Statement 2: x is within ten units of 140.
130<=x<=150
But in such case, it is insufficient to answer the question. As rounding 150 would give 200 and 130 would also give 100.
insufficient.

Ans A it is.

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Re: What number results if the number x is rounded to the [#permalink] New post 18 Aug 2013, 03:29
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?

_________________

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Last edited by stne on 20 Aug 2013, 22:26, edited 1 time in total.
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Re: What number results if the number x is rounded to the [#permalink] New post 19 Aug 2013, 01:13
Expert's post
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.

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Re: What number results if the number x is rounded to the [#permalink] New post 19 Aug 2013, 07:28
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] New post 19 Aug 2013, 07:33
1
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Expert's post
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.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: What number results if the number x is rounded to the   [#permalink] 19 Aug 2013, 07:33
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