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805+ (Hard)|   Arithmetic|      
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AdityaHongunti
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If a,b and c are in arithmetic progression, then (a+b) 23 Nov 2018, 23:32
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E
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Difficulty:

95% (hard)

Question Stats:

25% (01:15) correct 75% (01:18) wrong based on 177 sessions

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If a,b and c are in arithmetic progression, then (a+b), (b+c) and (c+a) (in any order) can be in:

A. Arithmetic progression
B. Geometric progression
C. Harmonic progression
D. AP or GP
E. AP or GP or HP

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E
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vishalkazone
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If a,b and c are in arithmetic progression, then (a+b) 24 Nov 2018, 01:32
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Suppose a,b,c is 1,1,and 1 ( this is AP as common difference zero, GP common factor 1, and HP as the reciprocals are in AP)
So if we take (a+b), (b+c) and (c+a) (in any order)
It will be in AP or GP or HP.
Answer E.
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gvij2017
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If a,b and c are in arithmetic progression, then (a+b) 24 Nov 2018, 05:39
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How did you assume all numbers same?
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AdityaHongunti
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If a,b and c are in arithmetic progression, then (a+b) 24 Nov 2018, 05:43
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gvij2017
How did you assume all numbers same?
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Read the question carefully... It says "can be" so you can assume whatever you want..

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gvij2017
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If a,b and c are in arithmetic progression, then (a+b) 24 Nov 2018, 05:52
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Don't you think that "Can be" is used for a+b, b+c, c+a, not for a, b and c.
Language of question seems ambiguous.
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AdityaHongunti
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If a,b and c are in arithmetic progression, then (a+b) 24 Nov 2018, 05:54
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It is an official question by GMAC my friend. And the "can be" is intended for a b and c only

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stne
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If a,b and c are in arithmetic progression, then (a+b) 25 Dec 2018, 08:44
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AdityaHongunti
If a,b and c are in arithmetic progression, then (a+b), (b+c) and (c+a) (in any order) can be in:

A. Arithmetic progression
B. Geometric progression
C. Harmonic progression
D. AP or GP
E. AP or GP or HP

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Dear Moderator,
Found this PS question, in the DS forum, hope we can move it to the correct forum. Thank you.
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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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If a,b and c are in arithmetic progression, then (a+b) 25 Dec 2018, 08:47
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stne
AdityaHongunti
If a,b and c are in arithmetic progression, then (a+b), (b+c) and (c+a) (in any order) can be in:

A. Arithmetic progression
B. Geometric progression
C. Harmonic progression
D. AP or GP
E. AP or GP or HP

Posted from my mobile device

Dear Moderator,
Found this PS question, in the DS forum, hope we can move it to the correct forum. Thank you.
Show more

____________________
Moved to PS. Thank you.
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If a,b and c are in arithmetic progression, then (a+b) 10 Feb 2022, 09:26
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AdityaHongunti
It is an official question by GMAC my friend.
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Just in case anyone reads this and becomes concerned about whether they need to learn new material: there is no chance whatsoever that this is an official question -- you don't even need to know the definition of the phrase "arithmetic progression" for the GMAT (yes, you do need to know how to work with an equally spaced list of numbers, but you don't need to know that such a list is called an "arithmetic progression"). You certainly would never need to know what a "harmonic progression" is for the test.
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If a,b and c are in arithmetic progression, then (a+b) 14 Aug 2024, 00:01
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