## OG 2020: Question No. 308

Is n equal to zero?

- The product of n and some nonzero number is 0.
- The sum of n and 0 is 0.

Source | OG 2020 |

Type | Data Sufficiency |

Topic | Number Properties |

Sub-Topic | Basics |

Difficulty | Easy |

### Solution

__Steps 1 & 2: Understand Question and Draw Inferences__

__Steps 1 & 2: Understand Question and Draw Inferences__

In this question, we are asked to determine

- Whether the number n is equal to zero or not.

As we have no other information about n in the question stem, let us now analyse the individual statements.

__Step 3: Analyse Statement 1__

__Step 3: Analyse Statement 1__

As per the information given in statement 1, the product of n and some nonzero number is 0.

We know that product of any two numbers is equal to 0, if either one or both the numbers are equal to 0.

- Since, the other number is a nonzero number, we can definitely say that n is equal to 0.

Hence, statement 1 is sufficient to answer the question.

__Step 4: Analyse Statement 2__

__Step 4: Analyse Statement 2__

As per the information given in statement 2, the sum of n and 0 is 0.

- Or, n + 0 = 0

Or, n = 0

Hence, statement 2 is sufficient to answer the question.

__Step 5: Combine Both Statements Together (If Needed)__

__Step 5: Combine Both Statements Together (If Needed)__

Since we can determine the answer from either of the statements individually, this step is not required.

Hence, the correct answer choice is option D.