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Question

Identify the odd pair:

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
24-28

Identifying the Odd Pair in Number Sets

The question asks us to find the pair of numbers that is different from the others based on some underlying pattern or property. We need to examine each pair and look for a common characteristic shared by most pairs, but not by one.

Analyzing the Number Pairs

Let's look at the pairs provided:

  • Pair 1: 13-17
  • Pair 2: 24-28
  • Pair 3: 19-23
  • Pair 4: 29-31

Step-by-Step Pattern Identification

We can analyze the properties of the numbers within each pair:

  1. Pair 1 (13-17):
    • 13 is a prime number.
    • 17 is a prime number.
    • Both numbers in the pair are prime.
  2. Pair 2 (24-28):
    • 24 is a composite number (divisible by 1, 2, 3, 4, 6, 8, 12, 24).
    • 28 is a composite number (divisible by 1, 2, 4, 7, 14, 28).
    • Both numbers in the pair are composite.
  3. Pair 3 (19-23):
    • 19 is a prime number.
    • 23 is a prime number.
    • Both numbers in the pair are prime.
  4. Pair 4 (29-31):
    • 29 is a prime number.
    • 31 is a prime number.
    • Both numbers in the pair are prime.

Determining the Odd Pair

By examining the primality of the numbers:

  • Pairs 1, 3, and 4 consist of two prime numbers each.
  • Pair 2 consists of two composite numbers.

Therefore, the pair (24-28) is the odd one out because it is the only pair where both numbers are composite, while the other pairs consist solely of prime numbers.

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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 

    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 of the following belongs to Hyderabad?

  4. In a school, there are five teachers A, B, C, D and E. A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches maximum numb, of subjects?

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