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12 Oct 2020, 03:30
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Difficulty:
95%
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Question Stats:
40% (02:45) correct
60%
(02:59)
wrong
based on 118
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ABCDE × A = EEEEEE
In the correctly worked multiplication problem shown above, A, B, C, D, and E are different digits, what is value of A + B + C + D + E ?
A. 26
B. 27
C. 28
D. 29
E. 30
Are You Up For the Challenge: 700 Level Questions
In the correctly worked multiplication problem shown above, A, B, C, D, and E are different digits, what is value of A + B + C + D + E ?
A. 26
B. 27
C. 28
D. 29
E. 30
Are You Up For the Challenge: 700 Level Questions
Rakesh1987
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Joined: 17 Jul 2018
Last visit: 31 Dec 2024
Posts: 66
Given Kudos: 100
Location: India
Concentration: Finance, Leadership
Schools: Stern '23 (M$)
GMAT 1: 760 Q50 V44
GPA: 4
22 Nov 2020, 10:00
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ABCDE x A= EEEEEE = E x 111111
As E isnt A, then A must be another single digit factor of 111111, and ABCDE = E* (111111/A).
Only 3 and 7 are single digit factors of 111111
Case 1: A=3) 111111= 3 x 37037; Here E x 03 will be same as the first digit, and as no digit are repeated, A cant be 3
Case 2: A=7) 111111= 7 x 15873; 15873 x E will give first digit as 7 (A), therefore E=5, ABCDE=79365.
Sum of digits = 30. Answer is E.
As E isnt A, then A must be another single digit factor of 111111, and ABCDE = E* (111111/A).
Only 3 and 7 are single digit factors of 111111
Case 1: A=3) 111111= 3 x 37037; Here E x 03 will be same as the first digit, and as no digit are repeated, A cant be 3
Case 2: A=7) 111111= 7 x 15873; 15873 x E will give first digit as 7 (A), therefore E=5, ABCDE=79365.
Sum of digits = 30. Answer is E.
12 Oct 2020, 04:14
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Explanation:
ABCDE × A = EEEEEE
Here we know, when A is multiply by E gives results as E.
A,E can be 2,6 ; 6,8; 3,5 ; 7,5 ; 9,5
EEEEEE/A = ABCDE
222222/6 = 37037 cannot be possible as all digits are different
666666/8 = 83333.25 Not possible
555555/3 = 185185 not possible as six digit number
555555/7 = 79365 Possible as all digits are different.
Sum = 7+9+3+6+5 = 30
IMO-E
ABCDE × A = EEEEEE
Here we know, when A is multiply by E gives results as E.
A,E can be 2,6 ; 6,8; 3,5 ; 7,5 ; 9,5
EEEEEE/A = ABCDE
222222/6 = 37037 cannot be possible as all digits are different
666666/8 = 83333.25 Not possible
555555/3 = 185185 not possible as six digit number
555555/7 = 79365 Possible as all digits are different.
Sum = 7+9+3+6+5 = 30
IMO-E
