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Is x an integer? – OG 2020 Question #302 with Solution

A < 1 min read

OG 2020: Question No. 302

Is x an integer?

  1. x3 = 8
  2. x = √4
Source OG 2020
Type Data Sufficiency
Topic Number Properties
Sub-Topic Basics
Difficulty Easy

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are asked to determine

  • Whether x is an integer or not.

As we do not have any pertinent information present in the question stem, we will move forward to analyse the individual statements.

 

Step 3: Analyse Statement 1

As per the information present in statement 1, x3 = 8.

Taking cube-root on both sides of the equation, we get

  • x3 = 8

Or, x = ³√8 = 2

As x = 2, we can conclude that x is an integer.

Hence, statement 1 is sufficient to answer the question.

 

Step 4: Analyse Statement 2

As per the information given in statement 2, x = √4

  • Or, x = 2, which is an integer

Hence, statement 2 is sufficient to answer the question.

 

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.

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