Please refer attachment.
I thought both statements together solve the problem.
My solution flow is as below -
1) t1 = (d1/r1) ; t2= (d2/r2)
2) From solution option 1 d1= d2+30
3) From solution option 1 r2= r2+30
4) From (2) and (3) t1 = (d2+30)/(r2+30)
5) Is t1 > t2 => {(d2+30)/(r2+30)} > (d2/r2)
Subtracting 1 from both sides we get
{(d2-r2)/(r2+30)} > (d2-r2)/(r2)
Left side denominator greater than right side by 30. Hence t1 is definately not greater that t2. SOLUTION ARRIVED.
GMAT Focus problem - Answer seems to be wrong
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 7
- Joined: Wed Apr 30, 2008 12:40 am
Answer is E. 1 and 2 not sufficient.
d2+30/r2+30 can be greater then d2/r2 but not always.
For example:
1) assume d2 = 60 r2 = 30,
d2/r2 = 60/30 = 2
d2+30/r2+30 = 90/60 = 1.5
Not greater
2) assume d2 = 30, r2 = 60 .
d2/r2 = 30/60 = 1/2
d2+30 / r2+30 = 60/90 = 2/3
Greater
So E not sufficient
d2+30/r2+30 can be greater then d2/r2 but not always.
For example:
1) assume d2 = 60 r2 = 30,
d2/r2 = 60/30 = 2
d2+30/r2+30 = 90/60 = 1.5
Not greater
2) assume d2 = 30, r2 = 60 .
d2/r2 = 30/60 = 1/2
d2+30 / r2+30 = 60/90 = 2/3
Greater
So E not sufficient
GMAT/MBA Expert
- Ian Stewart
- GMAT Instructor
- Posts: 2621
- Joined: Mon Jun 02, 2008 3:17 am
- Location: Montreal
- Thanked: 1090 times
- Followed by:355 members
- GMAT Score:780
You run into the problem here. The denominator on the left is indeed larger than on the right. This does not guarantee that the left side is smaller than the right, however. If d2-r2 is negative, then the fractions above are negative, and the fraction with the larger denominator will be the larger number, not the smaller number. You appear to have assumed the fractions were positive; when you subtracted 1 from both sides, you may have made them negative.shankyrams wrote: {(d2-r2)/(r2+30)} > (d2-r2)/(r2)
Left side denominator greater than right side by 30. Hence t1 is definately not greater that t2. SOLUTION ARRIVED.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com
ianstewartgmat.com
ianstewartgmat.com