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For the students in class A, the range of their heights is r [#permalink]
23 Feb 2012, 07:12
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00:00
A
B
C
D
E
Difficulty:
5% (low)
Question Stats:
74% (01:55) correct
26% (00:45) wrong based on 347 sessions
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?
Re: For the students in class A, the range of their heights is r [#permalink]
23 Feb 2012, 08:32
14
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Expert's post
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BANON wrote:
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?
(1) r < s (2) g > h
Each statement alone is clearly insufficient. Now, when taken together the question becomes easier if you just visualize it. Given: G>H and R<S:
------------(MIN)----G, red is the range of A, r; (MIN)------------H, blue is the range of B, s.
You can literally see that the least height of the students in class A is greater than the least height of the students in class B.
Re: For the students in class A, the range of their heights is r [#permalink]
15 Jul 2012, 00:39
Hi Bunuel ,
According to me C will not give the answer because , When i plug in the values say
g=15 and h = 10 r= 2 and s = 3
the max value for A is 15 and the minimum value will be 1 (since the range is 2) The max value for B is 10 and the minimum value will be 1 (since the range is 3)
the min value for both is 1 .. (we will not be able to ans question "Is the least height of the students in class A is greater than the least height of the students in class B"
Here , A=B
In one more instance ,
g=10 and h =9 r=4 and s=5
the min value for A will be 2 the min value for B will be 4
Here,
A < B
One more instance
g=12 and h =10 r=7 and s=8
the min value for A is 5 the min value for B is 2
here A > B
I was getting 3 different values. So i marked E as my option. Can you please tell me what i am missing here.
Re: For the students in class A, the range of their heights is r [#permalink]
15 Jul 2012, 01:16
2
This post received KUDOS
1
This post was BOOKMARKED
BANON wrote:
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?
(1) r < s (2) g > h
QUESTION A>B?........Where A is the smallest hight of class A and B is the smallest hight of class B
we can simply form an equation from this problem from the question stem we can draw this as per my undestanding G-A=R, H-B=S, G for greatest hight and A for smallest in class A, R for range, H for greatest in B CLASS, B for smallest hight in B class, S for range in B CLASS from stmnet 1. we can get R-S<0 AND FROM stmnt 2. we can get G-H>0
SO WE have four equations 1.G-A=R 2.H-B=S or H= B+S 3.R-S<0 4.G-H>0 NOW action
Eq.3.------R-S<0 OR G-A-S<0( putting value of R.) or -A<S-G OR A>G-S Eq 4......... G-H>0 OR G-B-S>0 (putting value of H.) OR -B>S-G OR B<G-S FROM this two we can easily form this B<G-S<A..................WHERE ALL OF THE ACRONYMES ARE POSITIVE NOT NEGATIVE SO B MUST BE LESS THAN A
THAT directs us to combine these two statements for the solution
Re: For the students in class A, the range of their heights is r [#permalink]
15 Jul 2012, 01:32
heygmat wrote:
BANON wrote:
For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?
(1) r < s (2) g > h
QUESTION A>B?........Where A is the smallest hight of class A and B is the smallest hight of class B
we can simply form an equation from this problem from the question stem we can draw this as per my undestanding G-A=R, H-B=S, G for greatest hight and A for smallest in class A, R for range, H for greatest in B CLASS, B for smallest hight in B class, S for range in B CLASS from stmnet 1. we can get R-S<0 AND FROM stmnt 2. we can get G-H>0
SO WE have four equations 1.G-A=R 2.H-B=S or H= B+S 3.R-S<0 4.G-H>0 NOW action
Eq.3.------R-S<0 OR G-A-S<0( putting value of R.) or -A<S-G OR A>G-S Eq 4......... G-H>0 OR G-B-S>0 (putting value of H.) OR -B>S-G OR B<G-S FROM this two we can easily form this B<G-S<A..................WHERE ALL OF THE ACRONYMES ARE POSITIVE NOT NEGATIVE SO B MUST BE LESS THAN A
THAT directs us to combine these two statements for the solution
Re: For the students in class A, the range of their heights is r [#permalink]
15 Jul 2012, 04:34
Expert's post
Desperate123 wrote:
Hi Bunuel ,
According to me C will not give the answer because , When i plug in the values say
g=15 and h = 10 r= 2 and s = 3
the max value for A is 15 and the minimum value will be 1 (since the range is 2) The max value for B is 10 and the minimum value will be 1 (since the range is 3)
the min value for both is 1 .. (we will not be able to ans question "Is the least height of the students in class A is greater than the least height of the students in class B"
Here , A=B
In one more instance ,
g=10 and h =9 r=4 and s=5
the min value for A will be 2 the min value for B will be 4
Here,
A < B
One more instance
g=12 and h =10 r=7 and s=8
the min value for A is 5 the min value for B is 2
here A > B
I was getting 3 different values. So i marked E as my option. Can you please tell me what i am missing here.
The red parts above are not correct. How did you get those values there? Anyway:
The range of a set is the difference between the largest and smallest elements in the set.
Which means that if: g=15, h = 10, r= 2 and s = 3, then:
For A: {Largest}-{Smallest}={Range} --> 15-{Smallest}=2 --> {Smallest}=13, not 1 as you've written. For B: {Largest}-{Smallest}={Range} --> 10-{Smallest}=3 --> {Smallest}=7, not 1 as you've written.
Re: For the students in class A, the range of their heights is r [#permalink]
15 Jul 2012, 12:40
Bunuel wrote:
Desperate123 wrote:
Hi Bunuel ,
According to me C will not give the answer because , When i plug in the values say
g=15 and h = 10 r= 2 and s = 3
the max value for A is 15 and the minimum value will be 1 (since the range is 2) The max value for B is 10 and the minimum value will be 1 (since the range is 3)
the min value for both is 1 .. (we will not be able to ans question "Is the least height of the students in class A is greater than the least height of the students in class B"
Here , A=B
In one more instance ,
g=10 and h =9 r=4 and s=5
the min value for A will be 2 the min value for B will be 4
Here,
A < B
One more instance
g=12 and h =10 r=7 and s=8
the min value for A is 5 the min value for B is 2
here A > B
I was getting 3 different values. So i marked E as my option. Can you please tell me what i am missing here.
The red parts above are not correct. How did you get those values there? Anyway:
The range of a set is the difference between the largest and smallest elements in the set.
Which means that if: g=15, h = 10, r= 2 and s = 3, then:
For A: {Largest}-{Smallest}={Range} --> 15-{Smallest}=2 --> {Smallest}=13, not 1 as you've written. For B: {Largest}-{Smallest}={Range} --> 10-{Smallest}=3 --> {Smallest}=7, not 1 as you've written.
13>7.
The same for the second example in your post.
Hope it's clear.
Thanks . It cleared my confusion. I mistakenly thought range as a Common difference and pulled out AP concept here.
DS question , plz explain the answer [#permalink]
02 Nov 2012, 19:07
For students in class A, the range of heights is r and the greatest height is g. For students in class B, the range of heights is s and the greatest height is h. Is the least height in class A greater than the least height in class B? (1) r < s (2) g > h
Re: DS question , plz explain the answer [#permalink]
02 Nov 2012, 21:46
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pramodkg wrote:
For students in class A, the range of heights is r and the greatest height is g. For students in class B, the range of heights is s and the greatest height is h. Is the least height in class A greater than the least height in class B? (1) r < s (2) g > h
\(Shortest_A = g-r\)
\(Shortest_B = h-s\)
So question is is g-r>h-s or is g>h+(r-s)
1) r-s<0, Not sufficient. We dont know whether g is greater than h or not. 2) g>h, Not sufficient. We dont know if (r-s) is positive and when added to h is less than g or positive and when added to h is greater than g or negative.
1 & 2, g>h, and r-s is negative. So, h+r-s < h
So, g>h + r -s.
Sufficient.
Kudos Please... If my post helped. _________________
Did you find this post helpful?... Please let me know through the Kudos button.
Re: DS question , plz explain the answer [#permalink]
02 Nov 2012, 22:13
6
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Expert's post
Class A: Smallest height=g-r Range of heights=r Greatest height=g Class B: Smallest height=h-s Range=s Greatest height=h
Question is asking whether g-r>h-s? or whether g+s>h+r? Statement 1: S>r Not sufficient. Since we don't know about g & h. Statement 2: g>h Not sufficient. Since we don't know about s & r. On adding the two inequalities, We get: g+s>h+r. Hence sufficient.
Please note that we can add or multiply the inequalities but we can't divide or subtract. Hope that helps. -s _________________
Re: DS question , plz explain the answer [#permalink]
02 Nov 2012, 22:16
Expert's post
pramodkg wrote:
For students in class A, the range of heights is r and the greatest height is g. For students in class B, the range of heights is s and the greatest height is h. Is the least height in class A greater than the least height in class B? (1) r < s (2) g > h
Merging similar topics. Please refer to the solutions above.
Re: For the students in class A, the range of their heights is r [#permalink]
27 Mar 2014, 08:52
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Re: For the students in class A, the range of their heights is r [#permalink]
11 Apr 2015, 02:57
Hello from the GMAT Club BumpBot!
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