The number 571+572+573 can be expressed as the products of 3

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The number 571+572+573 can be expressed as the products of 3 [#permalink]

26 Nov 2012, 05:03

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The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36

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Re: The number 571+572+573 cab be expressed [#permalink]

26 Nov 2012, 05:19

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tinashine20 wrote:

The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36

571+572+573 = 3*572 = 3*(2^2*11*13) = 11*12*13 --> 11+12+13 = 36.

Answer: E.

P.S. Please provide OA's for the questions.
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Re: The number 571+572+573 cab be expressed [#permalink]

26 Nov 2012, 05:33

Sir, question was asked in the class test paper so OA is not provided.

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Re: The number 571+572+573 can be expressed as the products of 3 [#permalink]

20 Dec 2012, 00:37

tinashine20 wrote:

The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36

=571+572+573=1716=(13)(11)(2)(2)(3)

after seeing 11 and 13, I knew the third should be 12 without calculating rem. factors.

=11+12+13= 36

Answer: E

Re: The number 571+572+573 can be expressed as the products of 3 [#permalink] 20 Dec 2012, 00:37

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The number 571+572+573 can be expressed as the products of 3

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The number 571+572+573 can be expressed as the products of 3

The number 571+572+573 can be expressed as the products of 3

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