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If the product of the integers \(a, b, c,\) and \(d\) is \(1,155\) and if \(a > b > c > d > 1,\) then what is the value

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If the product of the integers \(a, b, c,\) and \(d\) is \(1,155\) and if \(a > b > c > d > 1,\) then what is the value

by Vincen » Thu Dec 16, 2021 12:07 pm

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If the product of the integers \(a, b, c,\) and \(d\) is \(1,155\) and if \(a > b > c > d > 1,\) then what is the value of \(a - d?\)

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Answer: B

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Re: If the product of the integers \(a, b, c,\) and \(d\) is \(1,155\) and if \(a > b > c > d > 1,\) then what is the va

by Brent@GMATPrepNow » Thu Dec 16, 2021 3:26 pm
Vincen wrote: ↑
Thu Dec 16, 2021 12:07 pm
 If the product of the integers \(a, b, c,\) and \(d\) is \(1,155\) and if \(a > b > c > d > 1,\) then what is the value of \(a - d?\)

(A) 2
(B) 8
(C) 10
(D) 11
(E) 14

Answer: B

Source: Veritas Prep
This question calls for some prime factorization
1,155 = (3)(5)(7)(11)

Since 1 < d < c < b < a, we can conclude that d = 3, c = 5, b = 7 and a = 11

So, a - d = 11 - 3 = 8.

Answer: B
Brent Hanneson - Creator of GMATPrepNow.com
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