If x is a positive integer and the sum of its digits is 1, how many

Question

If x is a positive integer and the sum of its digits is 1, how many digits does x have?

(1) x has exactly two zero digits and no other zero digits.
(2) x is a multiple of 10.

stonecold · Answer

Something tells me it is C
combining the statement we can say that x has to be 100

Great Question never the less

georgekaterji · Answer

sum of digits in x=1, thus x has one digit=1 and can have infinite number of 0s.

statement1:  x has exactly 2 0s => x has exactly 3 digits (100)
=> statement 1 is sufficient

Statement2:  x is a multiple of 10=> x can be 10, 100, 1000..etc.
=> not sufficient.

Answer is A

stonecold · Answer

Damn it.!!
I didn't consider A.

Thank you  georgekaterji

Vinayak Shenoy · Answer

IMO A
let x= abc Given a+b+c=1

Statement 1
states that there are exactly two 0 digits and no other zero digits
x can be 001, 010, 100
But number of digits will be 3 only no matter the order. Hence Sufficient.

Statement 2
states x is a multiple of 10
x can be 10, 100, 1000, 10000 etc etc but does not tell us number of digits x has.
hence insufficient.

Hence A

mvictor · Answer

1. sum of digits is 1, and we have exactly 2 zeroes...the number is 100..sufficient.
2. number can be 10, 100, 1000, 10000....not sufficient.
answer is A.

GMATinsight · Answer

Question : how many digits does x have?  
 Since sum of the digits is 1 so the leftmost digit of x must be 1 and rest of the digits must be 0 so we need to find out the number of zeros in z

Statement 1: : x has exactly two zero digits and no other zero digits. 
i.e. x must be 100 only, Hence
SUFFICIENT

Statement 2: : x is a multiple of 10 
No. of zeros in x may be one or two or three etc, Hence
NOT SUFFICIENT

Answer: Option B

kashyap89 · Answer

Correct is (1) ..It should be a 100 .

If x is a positive integer and the sum of its digits is 1, how many

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GMAT Data Sufficiency (DS) Questions

If x is a positive integer and the sum of its digits is 1, how many

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