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If a, b, c, d, e, f, and g are distinct integers, which of the

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If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 15 Jul 2017, 08:31
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Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q
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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 15 Jul 2017, 09:29
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 15 Jul 2017, 09:43
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app
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Posts: 6224
Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 15 Jul 2017, 09:52
mcmoorthy wrote:
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app



Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Joined: 12 Dec 2010
Posts: 40
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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 15 Jul 2017, 10:03
chetan2u wrote:
mcmoorthy wrote:
chetan2u wrote:
[quote="srikanth9502"]3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app



Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario[/quote]
Thanks Chetan!


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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 20 Aug 2017, 23:16
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app[/quote]


Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario[/quote]


Hi chetan2u
Set P {a, b, c, d, e, f, g} is P {1,2,3,4,5,6,7}
Set Q {a, b, c, d, e, f } is Q {1,2,3,5,6,7 }

This means that a=1, b=2, c=3 and so on.
But in set P d=4, whereas d=5 in set Q.
I think the two values of d in set P & Q must be same..
Plz correct me if i am wrong.


Because if not so, than Set P {a, b, c, d, e, f, g} = {2,3,4,5,6,7,8} Range= 6
Set Q {a, b, c, d, e, f } = Q {1,4,5,6,7,8 } range = 7
where Range(P) < Range(Q)
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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 21 Aug 2017, 04:49
Kevinjoshi wrote:
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app





Hi..
It is not necessary that the elements are in ascending order...
(a, b, c, d,e, f) is (1,2,3,5,6,7)
(a, b, c, d, e, f, g) is (1,2,3,5,6,7,4)..
So both cases median is 4...
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 21 Aug 2017, 09:39
I couldn't think of a case where Range of P = Range of Q, I considered the following sets:
P: 0 to 6 so Q: 0 to 5
P: 1 to 7 so Q: 1 to 6
P: -3 to 3 so Q -3 to 2
P: -6 to 0 so Q -6 to -1
In all the above Range of P is 6 and Range of Q is 5, so I picked answer as E i.e. Range P > Range of Q.
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Re: If a, b, c, d, e, f, and g are distinct integers, which of the [#permalink]

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New post 21 Aug 2017, 09:44
ravjai81 wrote:
I couldn't think of a case where Range of P = Range of Q, I considered the following sets:
P: 0 to 6 so Q: 0 to 5
P: 1 to 7 so Q: 1 to 6
P: -3 to 3 so Q -3 to 2
P: -6 to 0 so Q -6 to -1
In all the above Range of P is 6 and Range of Q is 5, so I picked answer as E i.e. Range P > Range of Q.



hi..

you are taking a,b,c,d.. in increasing and consecutive integers..
these are variables and a,b do not mean a<b.
variables can take any value and hence g can be any value ..
if Q is 1,2,3,5,6,7.. range = 7-1=6
P is 1,2,3,4,5,6,7.. range is again 7-1=6
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Re: If a, b, c, d, e, f, and g are distinct integers, which of the   [#permalink] 21 Aug 2017, 09:44
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