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If x is the sum of all integers from 11 to 109, inclusive, what it the

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Bunuel
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If x is the sum of all integers from 11 to 109, inclusive, what it the [#permalink] New post   18 May 2022, 08:45
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If x is the sum of all integers from 11 to 109, inclusive, what it the largest prime number of x?

A. 3
B. 5
C. 11
D. 13
E. 19

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What is the largest prime number that can divide evenly into the sum of all integers 11 to 109, inclusive?
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C
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sanjitscorps18
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Re: If x is the sum of all integers from 11 to 109, inclusive, what it the [#permalink] New post   18 May 2022, 08:58
Bunuel wrote:
If x is the sum of all integers from 11 to 109, inclusive, what it the largest prime number of x?

A. 3
B. 5
C. 11
D. 13
E. 19

Show Spoiler
What is the largest prime number that can divide evenly into the sum of all integers 11 to 109, inclusive?



Bunuel, could we word this question a bit differently. I could get an insight into the question only after reading the spoiler.

Sum of all integers between 11 to 109, inclusive = 120/2 * 99 = 60 x 9 x 11

The largest prime that can evenly divide the sum of all integers between 11 to 109, inclusive would be 11 hence Option C
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If x is the sum of all integers from 11 to 109, inclusive, what it the [#permalink] New post   19 May 2022, 00:24
sanjitscorps18 wrote:
Bunuel wrote:
If x is the sum of all integers from 11 to 109, inclusive, what it the largest prime number of x?

A. 3
B. 5
C. 11
D. 13
E. 19

Show Spoiler
What is the largest prime number that can divide evenly into the sum of all integers 11 to 109, inclusive?



Bunuel, could we word this question a bit differently. I could get an insight into the question only after reading the spoiler.

Sum of all integers between 11 to 109, inclusive = 120/2 * 99 = 60 x 9 x 11

The largest prime that can evenly divide the sum of all integers between 11 to 109, inclusive would be 11 hence Option C


I do not think the question needs a reword (I could be wrong). The sense that I made of the question when I read it was: "What is the biggest prime factor of the sum of digits between 11 and 109, inclusive?"
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If x is the sum of all integers from 11 to 109, inclusive, what it the [#permalink]
19 May 2022, 00:24
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