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If the product of the integers a, b, c, and d is 1,155 and if a > b >
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24 Jun 2021, 08:54
24 Jun 2021, 08:54
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Question Stats:
95% (01:41) correct
5% (02:23) wrong based on 20 sessions
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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
(A) 2
(B) 8
(C) 10
(D) 11
(E) 14
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >
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24 Jun 2021, 09:21
24 Jun 2021, 09:21
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\(abcd = 1155\) & \(a > b > c > d > 1\)
\(1155 = 3 * 5 * 7 * 11\)
\(a = 11 , b = 7 , c = 5 , d = 3\)
\(a - d = 8\)
Answer B
\(1155 = 3 * 5 * 7 * 11\)
\(a = 11 , b = 7 , c = 5 , d = 3\)
\(a - d = 8\)
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 >
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24 Jun 2021, 09:25
24 Jun 2021, 09:25
Carcass wrote:
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
(A) 2
(B) 8
(C) 10
(D) 11
(E) 14
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
