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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 [#permalink]

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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Mar 2014, 02:08, edited 1 time in total.
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Re: The number 571+572+573 cab be expressed [#permalink]

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26 Nov 2012, 05:19
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Expert's post
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.

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

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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]

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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.

$$=11+12+13= 36$$

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

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25 Mar 2014, 01:46
1
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Addition of any 3 consecutive numbers is always divisible by 3

So, options A, C , D are ruled out

Now focus on options 33 & 36

It can be either

10, 11, 12 (Gives zero at the end after multiplication; ignore this series)

or

11, 12, 13 (Matches fine)

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

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24 Dec 2014, 06:33
571+572+573 = 1716 = 2*2*3*11*13 = 12*11*13

11+12+13 = 36
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Re: The number 571+572+573 can be expressed as the products of 3 [#permalink]

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25 Dec 2014, 00:05
571 + 572 + 573 can be written as
572 -1 + 572 + 572 + 1 = 3*572 = 3 * 4 * 11 * 13 = 11 * 12 * 13...
Ans. E
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Re: The number 571+572+573 can be expressed as the products of 3 [#permalink]

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27 Feb 2016, 19:37
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Re: The number 571+572+573 can be expressed as the products of 3   [#permalink] 27 Feb 2016, 19:37
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