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Question

Three of the following four options are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? 

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

86 - 41 - 38

To determine which option does not belong to the group, let's analyze each set of numbers based on the operations you can perform on them. We need to find a common pattern in three of the four options and identify which one deviates from this pattern.

  1. Option 1: \(118 - 93 - 161\)
    • Sum of the numbers: \(118 + 93 + 161 = 372\)
  2. Option 2: \(86 - 41 - 38\)
    • Sum of the numbers: \(86 + 41 + 38 = 165\)
  3. Option 3: \(52 - 36 - 56\)
    • Sum of the numbers: \(52 + 36 + 56 = 144\)
  4. Option 4: \(33 - 15 - 12\)
    • Sum of the numbers: \(33 + 15 + 12 = 60\)

To identify the commonality among three options, observe the nature of the sum:

  • Options 1, 3, and 4 result in an even sum: \(372, 144,\) and \(60\) respectively.
  • Option 2 results in an odd sum: \(165\).

Since Options 1, 3, and 4 all have an even sum, they belong to the same group. Option 2 has an odd sum, which does not fit the pattern.

Conclusion: The option that does not belong to the group is \(86 - 41 - 38\).

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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 

    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 

    To which city does the Lecturer specialized in Economics belong?

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

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

    Who of the following belongs to Hyderabad?

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