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Difficulty:
25%
(medium)
Question Stats:
77% (01:20) correct
23%
(01:06)
wrong
based on 202
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History
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Each of the x, y and z represents a positive single-digit integer. How many digits does x + y + z have?
(1) x > y > z
(2) y = 4
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(1) x > y > z
(2) y = 4
_________________
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Archit3110
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Bunuel
#1
x>y>z
insufficient
as 1+2+3 ; single digit and 4+5+3 double digit
#2
y=4
x,z not know insufficeint
from 1 &2
x>4>z
least value of x=5 and z=1
we will get double digit of x+y+z
IMO C sufficient
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Expert reply
Bunuel
Analyzing the question:
Our possible values for x + y + z range from 3 to 27 because each letter represents a positive digit. Therefore the sum has either 1 digit or 2 digits.
Statement 1:
We can have 3 > 2 > 1 for 1 digit or 9 > 8 > 7 for 2 digits. Insufficient.
Statement 2:
We can have 1 + 4 + 1 for 1 digit or 9 + 4 + 9 for 2 digits. Insufficient.
Combined:
x must be at least 5. Choosing the minimum values we have 5 > 4 > 1, which still gives a 2 digit sum. Therefore the sum must have 2 digits. Sufficient.
Ans: C
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