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Which of the following sets contain numbers that are factors of M, if

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Which of the following sets contain numbers that are factors of M, if [#permalink]

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New post 21 Dec 2017, 04:03
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Which of the following sets contain numbers that are factors of M, if M is the sum of all integers from 21 to 85, inclusive?

A. (5, 7)
B. (2, 65)
C. (1, 13)
D. (3, 17)
E. (2, 9)

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Re: Which of the following sets contain numbers that are factors of M, if [#permalink]

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New post 21 Dec 2017, 06:08
Bunuel wrote:
Which of the following sets contain numbers that are factors of M, if M is the sum of all integers from 21 to 85, inclusive?

A. (5, 7)
B. (2, 65)
C. (1, 13)
D. (3, 17)
E. (2, 9)


M is the sum of all integers from 21 to 85 = 21+22+23+......+85

Count of integers from 21 to 85 = 85 - 20 = 65

Sum of numbers in Arithmetic progression = [(first term + Last Term)/2] * Number of terms

i.e. M = (21+85)*65/2 = 3445

Now, 3445 = 5*689 = 5*13*53

Answer: Option B

Bunuel : The question should be "Which of the following sets contains PRIME numbers that are factors of M"


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Re: Which of the following sets contain numbers that are factors of M, if   [#permalink] 21 Dec 2017, 06:08
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