Is n equal to zero? (1) The product of n and some nonzero number is 0

Question

Is n equal to zero?

(1) The product of n and some nonzero number is 0.
(2) The sum of n and 0 is 0.

DS65602.01
OG2020 NEW QUESTION

Chethan92 · Answer

From S1:

n*non-zero number = 0
Means n = 0
Sufficient.

From S2:

n+0 = 0
n = 0
Sufficient.

D is the answer.

ZoltanBP · Answer

The original question: Is  n=0  ?

1) We know that  n\cdot x=0  and  x
eq 0 . Since  x
eq 0 , we can divide both sides of the previous equation by  x .

n=0

Thus, the answer to the original question is a definite Yes.  \implies   Sufficient

2) We know that  n+0=0 , so  n=0 . Thus, the answer to the original question is a definite Yes.  \implies   Sufficient

Answer: D

BrentGMATPrepNow · Answer

Target question :    Is n equal to zero?

Statement 1 : The product of n and some nonzero number is 0  
(n)(non-zero number) = 0
This means  n must be 0 
Since we can answer the  target question  with certainty, statement 1 is SUFFICIENT

Statement 2 : The sum of n and 0 is 0 
If n + 0 = 0, we can conclude that  n must be 0 
Since we can answer the  target question  with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

ScottTargetTestPrep · Answer

Statement One alone

The product of n and some nonzero number is 0.

Since the product of n and some nonzero number is 0, n must be zero.

Statement one alone is sufficient to answer the question.

Statement Two Alone:

The sum of n and 0 is 0.

The only way for the sum of 0 and another number to be 0 is if both numbers are zero.

Statement two alone is sufficient to answer the question.

Answer: D

EMPOWERgmatRichC · Answer

Hi All,

We're asked if N is equal to zero. This is a YES/NO question and can be answered with a mix of Number Properties and TESTing VALUES.

(1) The PRODUCT of N and some NON-ZERO number is 0

When multiplying any non-zero number by 0, the result will ALWAYS be 0 (for example: 1x0 = 0, 27x0 = 0, 0x135 = 0, etc.). With the information in Fact 1, we're multiplying two numbers - one of which we know is a non-zero number. Thus, the other number (re: "N") MUST be equal to zero, so the answer to the question is ALWAYS YES. 
Fact 1 is SUFFICIENT

(2) The SUM of N and 0 is 0.

When adding two numbers together, there are two ways to end up with a sum of 0. The first is if the numbers are 'opposites' (for example: 1 and -1, 2 and -2, -17 and 17, etc.), then the sum will be zero. The second is if both numbers equal 0. The information in Fact 2 describes the second, so N MUST be 0 and the answer to the question is ALWAYS YES. 
Fact 2 is SUFFICIENT

Final Answer:  D

GMAT assassins aren't born, they're made, 
Rich

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=5RfKg9--sWw

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=JyefTnPk-Ko

bumpbot · Answer

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Is n equal to zero? (1) The product of n and some nonzero number is 0

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