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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
ABCD and DCBA are two four-digit numbers ...
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29 Jul 2021, 12:43
29 Jul 2021, 12:43
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100% (01:59) correct
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ABCD and DCBA are two four-digit numbers, containing the same digits, but in reverse order. What must be a factor of the number obtained from addition of ABCD and DCBA?
(A) 14
(B) 13
(C) 12
(D) 11
(E) 10
(A) 14
(B) 13
(C) 12
(D) 11
(E) 10
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Re: ABCD and DCBA are two four-digit numbers ...
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29 Jul 2021, 20:20
29 Jul 2021, 20:20
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motion2020 wrote:
ABCD and DCBA are two four-digit numbers, containing the same digits, but in reverse order. What must be a factor of the number obtained from addition of ABCD and DCBA?
(A) 14
(B) 13
(C) 12
(D) 11
(E) 10
(A) 14
(B) 13
(C) 12
(D) 11
(E) 10
A 4-digit number ABCD can be written as 1000A + 100B + 10C + D
ABCD = 1000A + 100B + 10C + D
DCBA = 1000D + 100C + 10B + A
Sum = 1001A + 110B + 110C + 1001D
= 11(91A + 10B + 10C + 91D)
Hence, option D
gmatclubot
Re: ABCD and DCBA are two four-digit numbers ... [#permalink]
29 Jul 2021, 20:20
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