Find the odd number group from the alternatives given below. Treat each option as two two-digit numbers and check the relationship between the first pair and the second pair. Choose the option that does NOT follow the same relationship as the others. (A) 5261 (B) 4354 (C) 7283 (D) 1829 (E) 3041

Difficulty: Easy

Correct Answer: 5261

Explanation:


Introduction / Context:
This odd-one-out question tests pattern recognition in 4-digit numbers by splitting them into two 2-digit blocks. Many aptitude questions use consistent differences or ratios between these blocks. The odd choice is the one that breaks the shared rule.


Given Data / Assumptions:

  • Split each 4-digit number into two 2-digit numbers: first two digits and last two digits.
  • Compute the difference: (last two digits) - (first two digits).
  • Compare this difference across options.


Concept / Approach:
If three or more options share the same difference between the two 2-digit parts, that becomes the dominant rule. Any option with a different difference is the odd one out.


Step-by-Step Solution:

Option 4354: split as 43 and 54. Difference = 54 - 43 = 11 Option 7283: split as 72 and 83. Difference = 83 - 72 = 11 Option 1829: split as 18 and 29. Difference = 29 - 18 = 11 Option 3041: split as 30 and 41. Difference = 41 - 30 = 11 Option 5261: split as 52 and 61. Difference = 61 - 52 = 9


Verification / Alternative check:
A fast verification is to notice that most options increase by +11 from the first two digits to the last two digits. 43->54, 72->83, 18->29, and 30->41 all show +11. Only 52->61 shows +9, confirming it is the odd one out.


Why Other Options Are Wrong:

4354: follows the +11 rule (54 - 43 = 11). 7283: follows the +11 rule (83 - 72 = 11). 1829: follows the +11 rule (29 - 18 = 11). 3041: follows the +11 rule (41 - 30 = 11).


Common Pitfalls:
Common mistakes include working digit-by-digit instead of treating them as two-digit numbers, or checking sums/products which are not needed here. Always try a simple split (2+2) first in such questions because it frequently reveals the intended pattern quickly.


Final Answer:
5261

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