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Question

Find the odd one out:

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
289

Identifying the Odd One Out Number

The question asks us to identify the number that does not fit the pattern among the given options: 512, 343, 216, and 289. We need to analyze the properties of these numbers to find the commonality shared by most of them.

Analyzing Number Properties

Let's examine each number to see if it fits a specific mathematical pattern:

  • 512: This number is a perfect cube. It can be written as \(8 \times 8 \times 8 = 8^3\).
  • 343: This number is also a perfect cube. It can be written as \(7 \times 7 \times 7 = 7^3\).
  • 216: This number is another perfect cube. It can be written as \(6 \times 6 \times 6 = 6^3\).
  • 289: This number is a perfect square. It can be written as \(17 \times 17 = 17^2\).

Determining the Pattern and the Odd Number

By analyzing the numbers, we can see a clear pattern:

  • Three of the numbers (512, 343, 216) are perfect cubes.
  • One number (289) is a perfect square.

The pattern that connects most of the numbers is being a perfect cube. Since 289 is a perfect square and not a perfect cube, it is the odd one out.

Therefore, the odd one out is 289.

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Important Questions from Classification

  1. Directions for the following 3 (three) items : consider the given information and answer the three items that follow. 

    A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). 

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    2. Lecturer D is from Shillong 

    3. Lecturer C from Delhi is specialized in Sociology 

    4. Lecturer B is specialized in neither History nor Mathematics 

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    6. Lecturer F who is specialized in Commerce belongs to Srinagar 

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    2. Lecturer D is from Shillong 

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