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Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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05 Mar 2012, 14:39
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Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ? (1) y > 3x (2) y > x > 3 when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4. (1+2) 3<x<y and 3x<y. so 3<3x<y. Is this correct
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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05 Mar 2012, 14:59
TomB wrote: Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?
(1) y > 3x (2) y > x > 3
when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4. (1+2) 3<x<y and 3x<y. so 3<3x<y. Is this correct Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?Given integers are: {3, 4, 5, 6, x, y} (1) y > 3x > if x=1 and y=4 then the range=61=6<9 but if x=100 then the range>9. Not sufficient. (2) y > x > 3 > if x=4 and y=5 then the range=63=3<9 but if x=100 then the range>9. Not sufficient. (1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 133=10>9. Sufficient. Answer: C.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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01 Nov 2014, 16:39
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Bunuel wrote: TomB wrote: Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?
(1) y > 3x (2) y > x > 3
when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4. (1+2) 3<x<y and 3x<y. so 3<3x<y. Is this correct Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?Given integers are: {3, 4, 5, 6, x, y} (1) y > 3x > if x=1 and y=4 then the range=61=6<9 but if x=100 then the range>9. Not sufficient. (2) y > x > 3 > if x=4 and y=5 then the range=63=3<9 but if x=100 then the range>9. Not sufficient. (1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 133=10>9. Sufficient. Answer: C. Hey Bunuel, In the question, we are talking about integers so why are we not considering negative values. Wouldn't the statements be insufficient in that case. Can you please explain why negative integers are out of scope



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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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02 Nov 2014, 06:31
davidfrank wrote: Bunuel wrote: TomB wrote: Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?
(1) y > 3x (2) y > x > 3
when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4. (1+2) 3<x<y and 3x<y. so 3<3x<y. Is this correct Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?Given integers are: {3, 4, 5, 6, x, y} (1) y > 3x > if x=1 and y=4 then the range=61=6<9 but if x=100 then the range>9. Not sufficient. (2) y > x > 3 > if x=4 and y=5 then the range=63=3<9 but if x=100 then the range>9. Not sufficient. (1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 133=10>9. Sufficient. Answer: C. Hey Bunuel, In the question, we are talking about integers so why are we not considering negative values. Wouldn't the statements be insufficient in that case. Can you please explain why negative integers are out of scope Second statement says that y > x > 3, so both x and y are positive. Hoe it's clear.
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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: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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20 Aug 2016, 04:51
Hi Bunuel,
From x > 3 the minimal value of x is 4, and the min value of y is 13 as per y> 3x=12, So the range should br 134=9 Can you please explain why the value of the range is 10 .
Thanks



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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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20 Aug 2016, 05:25
AbhijitGoswami wrote: Hi Bunuel,
From x > 3 the minimal value of x is 4, and the min value of y is 13 as per y> 3x=12, So the range should br 134=9 Can you please explain why the value of the range is 10 .
Thanks It should be 134 = 9 only. It MUST be a typo from Bunuel side.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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20 Aug 2016, 08:05
Hi abhimahna ,
If their is typo , then even after combining condition a and b , we are not getting the answer i.e C.
Abhijit



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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
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20 Aug 2016, 09:55
AbhijitGoswami wrote: Hi abhimahna ,
If their is typo , then even after combining condition a and b , we are not getting the answer i.e C.
Abhijit Sorry, I missed it. It's not a typo. Thanks for bringing this point. He has written the least value of Range. We know that y is atleast 13 and the lowest integer in the list is 3. So, range would be atleast 133 = 10 >9 Hence, C.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th
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