Latest Infosys Aptitude Question SOLUTION: xyz+AB =CDEF and xyz-AB=BGA

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(#M40030154) INFOSYS Logical Reasoning question Keep an EYE

xyz+AB =CDEF and xyz-AB=BGA

Asked In Infosys ANIL (11 years ago)

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Rohit Kumar Soni  (11 years ago)

Ans:The value C will take is '1' since max XYZ is 999 and max AB is 99.
X has to take a value '9' only then we can carry over '1'.
Looking at XYZ - AB = BGA there are two important things:
Z - B = A and A > Y so, X - 1 = B. Also 1Y - A = G
This means B = '8' since we know X is '9'.
Now looking at XYZ + AB = CDEF
Since we know X is '9' we know C is '1' and D can only be '0'.
So now '9'YZ + A'8' = '1''0'EF and
'9'YZ - A'8' = '8'GA. Digits remaining 2,3,4,5,6,7
'1'Y - A = G and '1'Z - '8' = A
Simplest way is trial and error
Simple assumption is Z = 5 which gives A = 15 - 8 = 7
'9'Y'5' - 78 = '8'G'7' so 945 - 78 = 867
945 + 78 = 1023

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Dhivya  (11 years ago)

clearly explain d qn..

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Bhavya Nair  (11 years ago)

Q.XYZ + AB = CDEF
XYZ - AB = BGA
All the letters have distinct values. find X, Y & Z?

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Sindu  (11 years ago)

xyz+AB=CDEF (1)
xyz-AB=BGA (2)
from (2) AB=xyz-BGA (3)
sub (3) in (1)
xyz+xyz-BGA=CDEF
2xyz=CDEF+BGA
xyz=(CDEF+BGA)/2

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Dinesh  (11 years ago)

xyz+AB=CDEF.....1
xyz-AB=BGA......2
from 1 and 2 AB will get cancelled...Therefore 2xyz=ABCDEFG
ans=ABCDEFG/2

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lokeswari kodimala  (11 years ago)

anyone plz explain this

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