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

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

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26 Apr 2019, 01:25
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84% (00:29) correct 16% (00:25) wrong based on 340 sessions

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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

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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0  [#permalink]

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26 Apr 2019, 03:22
From S1:

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

From S2:

n+0 = 0
n = 0
Sufficient.

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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0  [#permalink]

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27 Apr 2019, 05:27
Bunuel wrote:
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

The original question: Is $$n=0$$ ?

1) We know that $$n\cdot x=0$$ and $$x\neq 0$$. Since $$x\neq 0$$, 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

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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0  [#permalink]

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29 Apr 2019, 10:25
Top Contributor
Bunuel wrote:
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.

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

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Brent
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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0  [#permalink]

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06 May 2019, 19:22
Bunuel wrote:
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

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.

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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0  [#permalink]

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21 May 2019, 15:03
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

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Re: Is n equal to zero? (1) The product of n and some nonzero number is 0   [#permalink] 21 May 2019, 15:03
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