|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
11 Apr 2025, 03:11
Kudos
Bookmarks
shubhim20
The question is not entirely clear, but sum of odd number of odd integers is always odd.
11 Apr 2025, 04:27
Kudos
Bookmarks
when ever we get consecutive integer its best to suppose the integers as X-1, X, X+1 form so that we can directly find sum as 3x.
in this case there is 5 consecutive odd integer, hence lets say those integers are x-4,x-2,x,x+2 and x+4 which means sum=5x
also lets say 7 consecutive integers be y-6,y-4,y-2,y,y+2,y+4,y+6 which means sum=7y
since we know 7y=5x we can conclude that the sum must be multiple of 7 and 5 which means multiple of 35.
now if we go through answer choices, we see option b, c and,e satisfies the criteria, and since sum of odd number of odd numbers can not be positive, we can eliminate b and c. finally left with option e as answer choice.
in this case there is 5 consecutive odd integer, hence lets say those integers are x-4,x-2,x,x+2 and x+4 which means sum=5x
also lets say 7 consecutive integers be y-6,y-4,y-2,y,y+2,y+4,y+6 which means sum=7y
since we know 7y=5x we can conclude that the sum must be multiple of 7 and 5 which means multiple of 35.
now if we go through answer choices, we see option b, c and,e satisfies the criteria, and since sum of odd number of odd numbers can not be positive, we can eliminate b and c. finally left with option e as answer choice.
