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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
The following addition operation shows the sum of the two-digit
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24 Sep 2021, 06:55
24 Sep 2021, 06:55
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Question Stats:
35% (02:56) correct
64% (01:32) wrong based on 17 sessions
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The following addition operation shows the sum of the two-digit positive integers XY and YX. If X, Y, and Z are different digits, what is the value of the integer Z?
screenshot.126.jpg [ 8.98 KiB | Viewed 1316 times ]
(A) 8
(B) 7
(C) 2
(D) 1
(E) 0
Source: Manhattan Review, GMAT Question Bank
Attachment:
screenshot.126.jpg [ 8.98 KiB | Viewed 1316 times ]
(A) 8
(B) 7
(C) 2
(D) 1
(E) 0
Source: Manhattan Review, GMAT Question Bank
Re: The following addition operation shows the sum of the two-digit
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27 Sep 2021, 11:08
27 Sep 2021, 11:08
1
motion2020 wrote:
The following addition operation shows the sum of the two-digit positive integers XY and YX. If X, Y, and Z are different digits, what is the value of the integer Z?
(A) 8
(B) 7
(C) 2
(D) 1
(E) 0
Attachment:
screenshot.126.jpg
(A) 8
(B) 7
(C) 2
(D) 1
(E) 0
The two digit positive numbers can be written as 10X + Y and 10Y + X, so the addition will result in 11(X + Y). Since the result is divisible by 11. Then for any number divisible by 11, from the result (x + Z - X) should be divisible by 11. which means, the z =0, the only option.
Answer is E) 0
gmatclubot
Re: The following addition operation shows the sum of the two-digit [#permalink]
27 Sep 2021, 11:08
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