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









