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# If a, b, c are three consecutive integers such that c > b > a and abc

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Math Expert
Joined: 02 Sep 2009
Posts: 58295
If a, b, c are three consecutive integers such that c > b > a and abc  [#permalink]

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21 Dec 2018, 05:37
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Difficulty:

25% (medium)

Question Stats:

77% (02:27) correct 23% (02:38) wrong based on 66 sessions

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If a, b, c are three consecutive integers such that c > b > a and abc = 3360. What is the value of b?

A. 13
B. 14
C. 15
D. 16
E. 17

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Posts: 145
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Re: If a, b, c are three consecutive integers such that c > b > a and abc  [#permalink]

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21 Dec 2018, 06:44
1
Bunuel wrote:
If a, b, c are three consecutive integers such that c > b > a and abc = 3360. What is the value of b?

A. 13
B. 14
C. 15
D. 16
E. 17

factorize 3360 we get = 2*2*2*2*2*5*3*7
given a*b*c are consecutive
A) 13 not possible
B) 14 , it can be 13 14 15 ; 13 not possible so eliminate B
C) 15, abc would be 14 15 16; possible

C
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If a, b, c are three consecutive integers such that c > b > a and abc  [#permalink]

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21 Dec 2018, 08:06
Bunuel wrote:
If a, b, c are three consecutive integers such that c > b > a and abc = 3360. What is the value of b?

A. 13
B. 14
C. 15
D. 16
E. 17

prime factorize:

3360 = 3*5*2*2*2*2*7*2

3*5 =15
$$2^4= 16$$
7*2 =14

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Re: If a, b, c are three consecutive integers such that c > b > a and abc  [#permalink]

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21 Dec 2018, 09:39
Bunuel wrote:
If a, b, c are three consecutive integers such that c > b > a and abc = 3360. What is the value of b?

A. 13
B. 14
C. 15
D. 16
E. 17

3360 = 14*15*16

b would be 15 IMO C
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Re: If a, b, c are three consecutive integers such that c > b > a and abc  [#permalink]

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21 Dec 2018, 10:59
Bunuel wrote:
If a, b, c are three consecutive integers such that c > b > a and abc = 3360. What is the value of b?

A. 13
B. 14
C. 15
D. 16
E. 17

$$3360 = 14*15*16$$

So, $$c = 16$$ , $$b = 15$$ & $$a = 14$$

Thus, Answer must be (C) 15
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Re: If a, b, c are three consecutive integers such that c > b > a and abc   [#permalink] 21 Dec 2018, 10:59
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