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Data Sufficiency (DS) | Re: Is the 22nd term of an Arithmetic Progression odd?

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Nabneet wrote:

SaquibHGMATWhiz wrote:
JayPatadiya wrote:
Is the 22nd term of an Arithmetic Progression odd?

1. The 24th tern is even
2. The first term isodd


Solution:
PreAnalysis:
  • We are asked if the 22nd term of an AP is odd ornot
  • This is a YES-NOquestion

Statement1: The 24th tern iseven
  • We know\(T_{22}=T_{24}-2d\) where d is the commondifference
  • So,\(T_{22}=Even-Even=Even\)
  • Thus, statement 1 alone is sufficient and we can eliminate options B, C andE

Statement2: The first term isodd
  • We know\(T_{22}=T_{1}+21d\)
  • So,\(T_{22}=Odd+21d\)
  • To predict the even-odd nature of\(T_{22}\) , we will need the even-odd nature of\(d\)
  • Thus, statement 2 alone is notsufficient



Hence the right answer is OptionA


How can we be sure that d is an integer ?
if d=1/2.

IMO: Answer should beC.


HeyNabneet ,

Thank you for pointing it out. I completely missed out on this constraint.
Apart from that, this question is a little complicatedly designed and is well explained by[url=https://gmatclub.com:443/forum/memberlist.php?mode=viewprofile&un=IanStewart]
...

Statistics : Posted by SaquibHGMATWhiz • on 04 Aug 2019, 07:28 • Replies 7 • Views 1632



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