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Math Expert V
Joined: 02 Aug 2009
Posts: 7444
There are English and Mathematics books worth $60 and$100 respectivel  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 66% (02:15) correct 34% (02:12) wrong based on 124 sessions

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There are English and Mathematics books worth $60 and$100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?

(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120

New Question testing number properties

_________________
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: There are English and Mathematics books worth $60 and$100 respectivel  [#permalink]

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chetan2u wrote:
There are English and Mathematics books worth $60 and$100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?
(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120

New Question testing number properties

Let number of English book sold be $$x$$, so number of maths book sold $$=3x$$. Here $$x$$ is a positive integer

Total revenue $$=60*x+100*3x=360x$$

So Revenue generated will be a multiple of $$360$$. Out of the options only $$4380$$ is not a multiple of $$360$$

Option D
Current Student B
Joined: 06 Sep 2016
Posts: 131
Location: Italy
Schools: EDHEC (A$) GMAT 1: 650 Q43 V37 GPA: 3.2 WE: General Management (Human Resources) Re: There are English and Mathematics books worth$60 and $100 respectivel [#permalink] ### Show Tags 1 The total must be a multiple of 9 and option D is the only one that contradicts this statement. Intern  B Joined: 15 Oct 2016 Posts: 29 Re: There are English and Mathematics books worth$60 and $100 respectivel [#permalink] ### Show Tags chetan2u wrote: There are English and Mathematics books worth$60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books? (A) 1080 (B) 2880 (C) 3600 (D) 4380 (E) 6120 New Question testing number properties The correct choice must not be a multiple of (3*100+60=360). Senior PS Moderator V Joined: 26 Feb 2016 Posts: 3365 Location: India GPA: 3.12 There are English and Mathematics books worth$60 and $100 respectivel [#permalink] ### Show Tags chetan2u wrote: There are English and Mathematics books worth$60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books? (A) 1080 (B) 2880 (C) 3600 (D) 4380 (E) 6120 New Question testing number properties Since the Mathematics books are 3 times the number of English books, if there are x English books, there will be 3x Mathematics books English - 60 - $$2^2*3*5*x$$ Mathematics - 100 - $$2^2*5^2*3*x$$ Total = $$2^2*3*5*(x + 5x) = 2^2*3^2*x*10$$ Evaluating answer options (A) 1080 = 36*3*10 (B) 2880 = 36*8*10 (C) 3600 = 36*100 (D) 4380 is not divisble by 36 (E) 6120 - 36*17*10 Therefore, 4380(Option D) is the revenue that cannot be generated by the sale of these books. _________________ You've got what it takes, but it will take everything you've got There are English and Mathematics books worth$60 and $100 respectivel [#permalink] 04 Mar 2018, 11:04 Display posts from previous: Sort by # There are English and Mathematics books worth$60 and \$100 respectivel

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