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AB and BA are 2-digits integers and AB*BA=CDE, where CDE is a 3-digits integer. What is AB? 1). A=E 2). A=C

we know AB and BA are two digit integers so 0 cannot be any of the digit. also we know CDE is a 3 digit integer so it is < than 1000 but > than 121. so:-

i. digits can only be 1, 2, 3, 4, 5, and 6. ii. 1000 > CDE > 121.

from 1: AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. any value of AB results in A=E if unit digit of AB is 1. so nsf. from 2: again AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. but to have A=C, AB must be 21.

if AB is 13, ABxBA = 403. so C=4, which is not equal to A or 3.

how do you know AB and BA are not something like 11?

stem doesnt explicitly say that A and B are different..

GMAT TIGER wrote:

young_gun wrote:

AB and BA are 2-digits integers and AB*BA=CDE, where CDE is a 3-digits integer. What is AB? 1). A=E 2). A=C

we know AB and BA are two digit integers so 0 cannot be any of the digit. also we know CDE is a 3 digit integer so it is < than 1000 but > than 121. so:-

i. digits can only be 1, 2, 3, 4, 5, and 6. ii. 1000 > CDE > 121.

from 1: AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. any value of AB results in A=E if unit digit of AB is 1. so nsf. from 2: again AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. but to have A=C, AB must be 21.

if AB is 13, ABxBA = 403. so C=4, which is not equal to A or 3.

AB and BA are 2-digits integers and AB*BA=CDE, where CDE is a 3-digits integer. What is AB? 1). A=E 2). A=C

we know AB and BA are two digit integers so 0 cannot be any of the digit. also we know CDE is a 3 digit integer so it is < than 1000 but > than 121. so:-

i. digits can only be 1, 2, 3, 4, 5, and 6. ii. 1000 > CDE > 121.

from 1: AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. any value of AB results in A=E if unit digit of AB is 1. so nsf. from 2: again AB can be of any value from 11, 12, 13, 14, 15, 16, 21, 31 41, 51, and 61. but to have A=C, AB must be 21.

if AB is 13, ABxBA = 403. so C=4, which is not equal to A or 3.