For the students in class A, the range of their heights is r centimeters and the greatest height is g gentimeters. For the students in class B, the range of their heights is s centimeters and thr greatest is h centimeters. Is thr least height of the students in class A greater than least height of thr least height of the students in class B?
1)r<s
2)g>h
Pheww!! out of my scope!Please explain
OA is C
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
DS-height question
This topic has expert replies
-
[email protected]
- Newbie | Next Rank: 10 Posts
- Posts: 7
- Joined: Tue Apr 02, 2013 7:42 am
-
mkdureja
- Senior | Next Rank: 100 Posts
- Posts: 38
- Joined: Fri Jan 04, 2013 12:55 am
- Thanked: 11 times
Range of a set is difference between highest and lowest.
In this case, for Class A, 'g' is highest; 'r' is range; therefore, least is: g-r.
Similarly, for Class B, least height is: h-s.
Question asks you to compare 'g-r' and 'h-s'
Now, consider statement 1, r<s; Since you dont have any information about g and h in this statement, so it alone is not sufficent to answer the question.
Similarly, Statement 2 alone is also not sufficient to answer the question.
Now, if you combine the two statements,
If r<s and g>h; then you can surely say that 'g-r' > 'h-s'.
So, using both statements together, you can answer the question.
In this case, for Class A, 'g' is highest; 'r' is range; therefore, least is: g-r.
Similarly, for Class B, least height is: h-s.
Question asks you to compare 'g-r' and 'h-s'
Now, consider statement 1, r<s; Since you dont have any information about g and h in this statement, so it alone is not sufficent to answer the question.
Similarly, Statement 2 alone is also not sufficient to answer the question.
Now, if you combine the two statements,
If r<s and g>h; then you can surely say that 'g-r' > 'h-s'.
So, using both statements together, you can answer the question.
GMAT/MBA Expert
-
lunarpower
- GMAT Instructor
- Posts: 3380
- Joined: Mon Mar 03, 2008 1:20 am
- Thanked: 2256 times
- Followed by:1535 members
- GMAT Score:800
remember that
range = greatest - least
which can be arranged to
greatest = least + range
or
least = greatest - range
--
(1)
these data concern ranges only; there is no indication whatsoever of how the heights compare.
insufficient
(2)
the greatest height in class a is taller than its counterpart in class b, but we know nothing about the ranges; if class a has a wider spread, its least height could well be shorter than that of class b.
insufficient
(together)
greatest height in class a = g - r
greatest height in class b = h - s
the given inequalities imply that g - r > h - s
sufficient
--
alternatively, you could have formulated g - r and h - s at the beginning of the problem (i.e., before considering statements (1) and (2) alone); these formulations make it perhaps even easier to see that (1) and (2) individually are insufficient.
range = greatest - least
which can be arranged to
greatest = least + range
or
least = greatest - range
--
(1)
these data concern ranges only; there is no indication whatsoever of how the heights compare.
insufficient
(2)
the greatest height in class a is taller than its counterpart in class b, but we know nothing about the ranges; if class a has a wider spread, its least height could well be shorter than that of class b.
insufficient
(together)
greatest height in class a = g - r
greatest height in class b = h - s
the given inequalities imply that g - r > h - s
sufficient
--
alternatively, you could have formulated g - r and h - s at the beginning of the problem (i.e., before considering statements (1) and (2) alone); these formulations make it perhaps even easier to see that (1) and (2) individually are insufficient.
Ron has been teaching various standardized tests for 20 years.
--
Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
--
Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
