GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If the product of the integers a, b, c, and d is 1,155 and if a > b >
[#permalink]
24 Jun 2021, 08:54
24 Jun 2021, 08:54
Expert Reply
00:00
Question Stats:
95% (01:41) correct
5% (02:23) wrong based on 20 sessions
Hide Show timer Statistics
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 >
[#permalink]
24 Jun 2021, 09:21
24 Jun 2021, 09:21
1
Bookmarks
\(abcd = 1155\) & \(a > b > c > d > 1\)
\(1155 = 3 * 5 * 7 * 11\)
\(a = 11 , b = 7 , c = 5 , d = 3\)
\(a - d = 8\)
Answer B
\(1155 = 3 * 5 * 7 * 11\)
\(a = 11 , b = 7 , c = 5 , d = 3\)
\(a - d = 8\)
Answer B
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the product of the integers a, b, c, and d is 1,155 and if a > b >
[#permalink]
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
