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# Sequence S consists of 24 nonzero integers. If each term in

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Senior Manager
Joined: 15 Jan 2017
Posts: 359
Re: Sequence S consists of 24 nonzero integers. If each term in [#permalink]

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10 Oct 2017, 09:19
Agree with B. Was on D till I re-read for 24 NON ZERO integers --> which means they are all the same sign (either all +ve or all -ve)

St 1: Term 3 is +ve.
Case 1: 0,a,b..--> a,b,ab (terms 3 is +ve)
Case 2: -b, -a, 0 --> -a, -b then (-a) (-b) = ab. Thus signs can be different so NOT SUFF in terms of exact number of -ve terms.

St 2: Term 4 is -ve. can only happen when : -a, -b, ab, -ab Sq, -a sq b cubed. Thus since we know the signs we can count the number of -ve terms. SUFF
Senior Manager
Joined: 02 Apr 2014
Posts: 393
Sequence S consists of 24 nonzero integers. If each term in [#permalink]

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11 Nov 2017, 11:59
Statement 1:

seq possible: $$+ + + +$$ ......... => No negatives
seq possible: $$- - + - - +$$..... => there are negative integers

InSuff

Statement 2:

4th term is negative:
Seq possible : - - + - - + - - + ......
Seq possible : - + - - + - - + ........

If you look closely, pattern of " - - + " repeats itself as " - + - ". in the another sequence.
So as long as the number of elements is multiple of 3, both seq of both patterns will have same number of -ve signs.
Promptly the question says number of elements is 24, so both seq will have same number of -ve integers and we will be to find count => sufficient

Sequence S consists of 24 nonzero integers. If each term in   [#permalink] 11 Nov 2017, 11:59

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