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Set S consists of 5 consecutive integers and set T consists [#permalink]
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05 Sep 2008, 08:58
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Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ? 1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T Haven't figured out the explanation for this yet.. 'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r. I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one. Thanks folks. == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 09:07
i guess that the ans for the first one is B.
stat 1) 2,1,0,1,2 and 2,3,4. here median are not same suppose from the first set, 2 and 2 were removed the median would be the same i.e if the other set was 1,0,1. insuff
stat2) the only way i can figure out that two sets having different no. of consecutive elemts have same sum, is if the median is zero. suff.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 09:47
Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ?
1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T
1) is not sufficient
For 2) let S = {m2,m1,m,m+1,m+2} and T = {n3,n2,n1,n,n+1,n+2,n+3}
sum of no.s in S = 5m sum of no.s in T = 7n
5m = 7n works for m = 7 and n =5 and for m=n=0.
Not sufficient.
Take both 1) and 2). 1) says m = 0. Therefore n = 0.
Answer is C.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 10:22
Good job!! eyunni Great approach.
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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 10:30
bhushangiri wrote: Haven't figured out the explanation for this yet..
'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks. Better way for this approach is draw a picture. 1) The distance between r and 0 is three times the distance between m and 0 ________m_____0__________r____ __r______m____ 0______________ not suffcient 2) ________m_____0____12__________r____ _______________0__m_________12__________r____ ____________r___0___12__________m____ combined. ________m_____0____12__________r____ _______________0__m_________12__________r____ not suffcient E what is OA.
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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 10:42
x2suresh wrote: bhushangiri wrote: Haven't figured out the explanation for this yet..
'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks. Better way for this approach is draw a picture. 1) The distance between r and 0 is three times the distance between m and 0 ________m_____0__________r____ __r______m____ 0______________ not suffcient 2) ________m_____0____12__________r____ _______________0__m_________12__________r____ ____________r___0___12__________m____ combined. ________m_____0____12__________r____ _______________0__m_________12__________r____ not suffcient E what is OA. Ya.. this approach is better than the algebraic approach which got me wrong. thanx.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 13:38
x2suresh wrote: bhushangiri wrote: Haven't figured out the explanation for this yet..
'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks. Better way for this approach is draw a picture. 1) The distance between r and 0 is three times the distance between m and 0 ________m_____0__________r____ __r______m____ 0______________ not suffcient 2) ________m_____0____12__________r____ _______________0__m_________12__________r____ ____________r___0___12__________m____ combined. ________m_____0____12__________r____ _______________0__m_________12__________r____ not suffcient E what is OA. I don't get the first drawing for the combined tacit. How can m be negative and 12 still be between m and r? is it if m is like 12 and r would be 36 then? thanks.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 14:01
'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks.[/quote]
I'm new here, but tackling this one I'm come up with both together are sufficient. I threw numbers in to solve the problem.
We know r = 3m
m123m 0
I plugged in a few numbers and found that if you plug in 6 for m, you get
61218 0
18 = 3 x 6, and 12 works as the midpoint. No other values will work here, so to me that answers the question. If I'm missing something please let me know!



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 14:46
NickTW wrote: 'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks. I'm new here, but tackling this one I'm come up with both together are sufficient. I threw numbers in to solve the problem. We know r = 3m m123m 0 I plugged in a few numbers and found that if you plug in 6 for m, you get 61218 0 18 = 3 x 6, and 12 works as the midpoint. No other values will work here, so to me that answers the question. If I'm missing something please let me know![/quote] 1) r = 3m Insuff 2) m + r / 2 = 12 Insuff ( 12 & 36 mid point is 12, 6 and 18 mid point is 12 ) Together 4 m =24 means m = +6 or 6 r= + 18 or 18 clearly (6,18) fits the bill. (6,18) mid point is 6; (6, 18) mid point is 12. (6, 18) midpoint is 6 We can say r=18 is OA C??



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 14:47
OAs
Q1  c Q2  e
Thanx for all the suggestions folks..



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 18:28
Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ? 1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T Haven't figured out the explanation for this yet.. bhushangiri wrote: 'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 18:30
Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ? 1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T Haven't figured out the explanation for this yet.. bhushangiri wrote: 'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
thanks folks. is that the no. zero or the letter O ? i considerd it as 0 and solved. kindly clarify



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 18:46
IMO C.
1 ) Median of set S is 0 => does not say anything about T
2 ) Sum of the numbers in S is equal to the sum of numbers in T => infact this one is tempting..because we know that the mean and median for continous sequence is same.. so if X is the sum of the series, then median of S and T is X/5 and X/7 respectively,, so that means they are not equal,, but wait what if X=0 so, 2 is not sufficient.
Including 1 and 2 ; median of S = 0,, so X=0 and so median of T=0



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 19:03
For the second question : IMO E
1) The distance between r and 0 is three times the distance between m and 0 => r=3m or r=3m.. not sufficient 2) 12 is halfway between m and r = > 12m=r12 = > not suffient as we have only one expression for 2 varaibles.
conbined.. if r=3m , from 12m=r12 => 24=4m=> m=6 and r=18 if r=3m, from 12m=r12 => 2m=24=> m 12 and r= 36 so, we are not sure.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 19:48
good method ssandeepan... i was just thinking abt solving it algebraically,when i saw your post . good method and nicely posted.



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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 19:52
bhushangiri wrote: Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ?
1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T
Haven't figured out the explanation for this yet..
'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r.
I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one.
Thanks folks. Q1) given : S{5 consec integers},T{7 consecutive integers} Question: MEDs=MEDt ? 1) Median of set S is 0 >its INSUFFI since 7 cosecutive integers can be anywhere ,MEDt canbe 0 if all integers are about 0 (0 as median) or they can be scattered somewhere else on the number line with different median. 2) Sum of the numbers in S is equal to the sum of numbers in T > sum of 5 consecutive numbers = sum of 7 consec numbers say S={n2,n1,n,n+1,n+2} T={p3,p2,p1,p,p+1,p+2,p+3} 5n=7p => if n=p=0 then only true for n and p o be integers . hence SUFFI mean =0 for both and hence equal. IMO B Q2)given :'m' and 'r' are two numbers on the number line. question :r=? (1) The distance between r and 0 is three times the distance between m and 0 > r and m can be on diffrent sides on the number line,r can be +ve or r can be ve INSUFFICIENT ,again m can be any value (integer ,fraction etc). 2) 12 is halfway between m and r. =>again r ad m can be on same side of 0 or different side then different values of r.again m can be inteer ,fraction ,and r too can be .INSUFFI (1) and (2) => is not SUFFI since both of them dont say about value of m whether integer or fraction and also no value of m ,hence for every value of m there can be a value for r even if 12 lies in between.INSUFFI IMO E
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Re: Two GMAT prep DS questions [#permalink]
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05 Sep 2008, 19:58
eyunni wrote: Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ?
1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T
1) is not sufficient
For 2) let S = {m2,m1,m,m+1,m+2} and T = {n3,n2,n1,n,n+1,n+2,n+3}
sum of no.s in S = 5m sum of no.s in T = 7n
5m = 7n works for m = 7 and n =5 and for m=n=0.
Not sufficient.
Take both 1) and 2). 1) says m = 0. Therefore n = 0.
Answer is C. Good one,i just missed on the values !!!
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Re: Two GMAT prep DS questions [#permalink]
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19 Oct 2008, 03:50
my answer is B
(1) is ins
(2) is sufficient
the only way the sum of the 2 sets is equal  for both sets, the mean and the average equal zero ==> symmetry around zero with an odd number of consequtive integers
example:
2,1,0,1,2
or 3,2,1,0,1,2,3
so (2) is sufficient



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Re: Two GMAT prep DS questions [#permalink]
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19 Oct 2008, 04:03
Set S consists of 5 consecutive integers and set T consists of 7 consecutive integers. Is median of set S equal to the median of set T ? 1) Median of set S is 0 2) Sum of the numbers in S is equal to the sum of numbers in T s = x,x+1, x+2, x+3, x+4 ( median is x+2) , t = y, y+1, y+2, y+3, y+4, y+5, y+6 ( median = y+3) is x+2 = y+3 from one x = 2.........insuff from 2 5x+10 = 7y+21 ie: 5x7y = 11 , 7y must end either in 9 as units digit or 4 thus y = 7 or y = 2 5x14 = 11, ie: x = 5 or 5x49 = 11 ie x = 12 in either cases x+2 is not = y+3..........suff Haven't figured out the explanation for this yet.. 'm' and 'r' are two numbers on the number line. What is the value of 'r' 1) The distance between r and 0 is three times the distance between m and 0 2) 12 is halfway between m and r. from 1 /r/ = 3/m/........insuff from 2 /m12/ = /r12/........insuff both ..........E I got this wrong but later figured out where i went wrong. Want to see if i can get a better and faster way to solve this one. Thanks folks.[/quote] == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.




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