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Noshad
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What is the greatest number of consecutive integers whose sum is 45? 23 Mar 2019, 10:17
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65% (hard)

Question Stats:

48% (01:26) correct 52% (01:34) wrong based on 203 sessions

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What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120
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D
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What is the greatest number of consecutive integers whose sum is 45? 24 Mar 2019, 18:31
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-44 to 45. So that all other integers cancel each other. Finally, 0+45 = 45 Sum. N = 90
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What is the greatest number of consecutive integers whose sum is 45? 14 May 2019, 13:20
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Hello!

I was redirected to this page from the other recent post.

I realised that despite the same questions, they have completely different answers. I totally understand how do we arrive at the answer 45 but I'm still scratching my head on how to get to answer of 26 from the other post?

Thanks!
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What is the greatest number of consecutive integers whose sum is 45? 14 May 2019, 21:32
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Noshad
What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120
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Not sure whether GMAT asks this type of question but it is tricky.

At first glance this question stumped me, I knew the sum of first 9 numbers is 45

Formula ---> n(n+1)/2

but the question does not state only positive integers rather it mentions consecutive numbers. So numbers could be positive and negative

-44 to +45
total of 90 numbers

-44 to -1 = 44 numbers
---> 0 = 1 number
1 to 45 = 45 numbers
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What is the greatest number of consecutive integers whose sum is 45? 16 May 2019, 20:02
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Noshad
What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120
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If we have the consecutive integers from -44 to 44, the sum is zero. Adding in 45, the sum becomes 45.

So the number of integers is 45 - (-44) + 1 = 90.

Answer: D
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What is the greatest number of consecutive integers whose sum is 45? 18 Dec 2025, 08:30
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Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
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