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v and x are positive even integers. When v is divided by 8
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01 Jun 2022, 06:03
01 Jun 2022, 06:03
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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
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01 Jun 2022, 07:10
01 Jun 2022, 07:10
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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.
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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
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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
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