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Question

Which one is different from the others?

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
189

Number Difference Analysis: Spotting the Outlier

The question asks us to identify which number among the given options is different from the rest. To solve this, we need to examine the mathematical properties of each number and find a common pattern shared by most of them.

Perfect Square Pattern Identification

Let's analyze each number to see if there's a consistent mathematical property:

  • Option 1: 121
    We check if 121 is a perfect square. A perfect square is a number resulting from squaring an integer. We find that \(11 \times 11 = 121\). Thus, 121 is the square of 11, written as \(11^2\).
  • Option 2: 189
    Next, we examine 189. We look for an integer whose square equals 189. We know \(13^2 = 169\) and \(14^2 = 196\). Since 189 falls between these two consecutive perfect squares, it cannot be a perfect square itself.
  • Option 3: 169
    For 169, we check if it's a perfect square. We find that \(13 \times 13 = 169\). Therefore, 169 is the square of 13, written as \(13^2\).
  • Option 4: 144
    Lastly, we consider 144. We find that \(12 \times 12 = 144\). So, 144 is the square of 12, written as \(12^2\).
  • Option 5: (Empty)
    This option does not contain a number and therefore cannot be compared based on mathematical properties. It is disregarded in the pattern analysis.

Determining the Different Number

Based on the analysis, we can see a clear pattern:

  • 121 is a perfect square (\(11^2\)).
  • 169 is a perfect square (\(13^2\)).
  • 144 is a perfect square (\(12^2\)).

The number 189 does not fit this pattern as it is not a perfect square.

Therefore, the number that is different from the others is 189.

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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). 

    Further 1. Lecturer from Kanpur is specialized in Geography 

    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 

    5. Lecturer A who is specialized in Economics does not belong to Hyderabad 

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

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

    Who is specialized in Geography?

  2. 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). 

    Further 1. Lecturer from Kanpur is specialized in Geography 

    2. Lecturer D is from Shillong 

    3. Lecturer C from Delhi is specialized in Sociology 

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

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

    To which city does the Lecturer specialized in Economics belong?

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    Further 1. Lecturer from Kanpur is specialized in Geography 

    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 

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

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