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If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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11 Feb 2015, 06:38
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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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11 Feb 2015, 07:29
Bunuel wrote: If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?
A. 8 B. 27 C. 81 D. 110 E. 125
Kudos for a correct solution. cube of a number entails having 3 copies of the original prime factors. Since 550 is a facor of \(n^3\) the least possible value of n is 5(11)2 = 110 and the answer is D.
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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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11 Feb 2015, 22:40
Answer = D. 110 \(550 = 2^2 * 5^1 * 11^1\) Out of the OA, only option D has 2, 5 & 11 as the constituents.
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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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12 Feb 2015, 00:16
If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?
A. 8 B. 27 C. 81 D. 110 E. 125
Since n^3 is multiple of 550 so unit digit of n must be "0". OA = D



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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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12 Feb 2015, 01:23
IMO its D simple.. 5^2 * 2 *11=550 k(n^3)=550 all we need 5,2 and 11 hence 110
kudos to me if its a right one



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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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16 Feb 2015, 05:58



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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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25 Apr 2016, 01:48
Bunuel wrote: Bunuel wrote: If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?
A. 8 B. 27 C. 81 D. 110 E. 125
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTIONCorrect Answer: D To begin this question, factor 550 into its primes: 550 = 2 * 5 * 5 * 11. If we multiply this number by 2 * 2 * 5 * 11 * 11, we'll have 2^3 * 5^3 * 11^3 , which is the same as (2∗5∗11)^3. This is the smallest multiple of 550 that is a perfect cube (an integer cubed) and thus n = 110. The correct answer is D. l was looking for an answer choice with a number greater than 550. As l knew, a multiple of any number is equal to or greater than the number itself. Could someone please clarify what l'm missing here? Almost 90% people got this question correct. My apologies for the silly question. Regards, Rana
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If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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25 Apr 2016, 01:56
ranaazad wrote: Bunuel wrote: Bunuel wrote: If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?
A. 8 B. 27 C. 81 D. 110 E. 125
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTIONCorrect Answer: D To begin this question, factor 550 into its primes: 550 = 2 * 5 * 5 * 11. If we multiply this number by 2 * 2 * 5 * 11 * 11, we'll have 2^3 * 5^3 * 11^3 , which is the same as (2∗5∗11)^3. This is the smallest multiple of 550 that is a perfect cube (an integer cubed) and thus n = 110. The correct answer is D. l was looking for an answer choice with a number greater than 550. As l knew, a multiple of any number is equal to or greater than the number itself. Could someone please clarify what l'm missing here? Almost 90% people got this question correct. My apologies for the silly question. Regards, Rana Hi, if it was N is multiple of 550, yes you should have been looking for N>550.. But here N^3 is to be made multiple of 550... N^3 means there should be atleast three of each prime factors in it.. \(550 = 2*5^2*11\)... so we require 2*5*11..
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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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25 Apr 2016, 03:01
Hi, if it was N is multiple of 550, yes you should have been looking for N>550.. But here N^3 is to be made multiple of 550... N^3 means there should be atleast three of each prime factors in it.. \(550 = 2*5^2*11\)... so we require 2*5*11..[/quote] Thank you for the instant reply! lt's understandable now.
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Re: If n is a positive integer and n^3 is a multiple of 550, what is the [#permalink]
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