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Question

Out of the four numbers listed, three are alike in some manner and one is different. Select the odd one.

2126, 9819, 7568, 8423

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
8423

Odd One Out Number Analysis

The task is to identify the number that is different from the others among the given set: 2126, 9819, 7568, and 8423. Three numbers share a common characteristic, while one does not.

Reasoning for Difference

We examine the properties of each number to find the pattern:

  • 2126: This is an even number, divisible by 2. Its prime factorization is $2 \times 1063$. It is a composite number.
  • 9819: The sum of its digits is $9 + 8 + 1 + 9 = 27$. Since 27 is divisible by 3, 9819 is divisible by 3 ($3 \times 3273$). It is a composite number.
  • 7568: This is an even number, divisible by 2. Its prime factorization is $2^4 \times 11 \times 43$. It is a composite number.
  • 8423: This number is odd. Upon checking divisibility by small prime numbers, it is found that 8423 has no prime factors other than 1 and itself. Thus, 8423 is a prime number.

Identifying the Unique Number

The numbers 2126, 9819, and 7568 are all composite numbers.

The number 8423 stands out as it is a prime number.

Therefore, 8423 is the odd one out.

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Similar Questions

  1. Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group?
    (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
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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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