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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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A

B

C

D

E

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Question Stats:

74% (01:56) correct
26% (00:44) wrong based on 303 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

1

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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

5

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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

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