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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
v and x are positive even integers. When v is divided by 8
[#permalink]
01 Jun 2022, 06:03
01 Jun 2022, 06:03
1
5
Bookmarks
00:00
Question Stats:
15% (01:03) correct
84% (01:43) wrong based on 13 sessions
Hide Show timer Statistics
v and x are positive even integers. When v is divided by 8, the remainder is w, and when x is divided by 11, the remainder is y. What is the greatest possible value of w + y?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Re: v and x are positive even integers. When v is divided by 8
[#permalink]
01 Jun 2022, 07:10
01 Jun 2022, 07:10
1
Ans:17;since if a no is divided by 8 then it could have remainder values from 1 to 7 ,and for the remainder values when a no is divided by 11 is from 1 to 10 . So the greatest value of sum of remainders is 7+10=17.
Posted from my mobile device
Posted from my mobile device
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: v and x are positive even integers. When v is divided by 8
[#permalink]
05 Jun 2022, 06:57
05 Jun 2022, 06:57
1
GreenlightTestPrep wrote:
v and x are positive even integers. When v is divided by 8, the remainder is w, and when x is divided by 11, the remainder is y. What is the greatest possible value of w + y?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
When v is divided by 8, the remainder is w
Here, 6 is the greatest possible value of w.
For example, when v = 14, we get: 14 divided by 8 equals 1 with remainder 6
When x is divided by 11, the remainder is y
Here, 10 is the greatest possible value of y.
For example, when x = 21, we get: 21 divided by 11 equals 1 with remainder 10
So, the maximum value of w + y = 6 + 10 = 16
Answer: B
RELATED VIDEO
