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‘UV 4’ is related to ‘WX 16’ in a certain way based on the English alphabetical and numerical order. In the same way, ‘PQ 3’ is related to ‘RS 9’. To which of the following is ‘AB 5’ related following the same logic?
CD 25
CD 10
CE 25
AC 25
CD 25
Observe that the letters increment to the next sequence (e.g., U,V to W,X) and the number is squared (e.g., 4 squared = 16, 5 squared = 25).
Observe that the letters increment to the next sequence (e.g., U,V to W,X) and the number is squared (e.g., 4 squared = 16, 5 squared = 25).
Analyze Letter Transformation
Look at the letters: UV → WX (U+2=W, V+2=X), PQ → RS (P+2=R, Q+2=S). Applying this to AB, we get A+2=C and B+2=D, resulting in CD.
Analyze Number Pattern
Identify the numerical relation: 4 is 2 squared, 16 is 4 squared. 3 is the starting number, 9 is 3 squared. Following this, the given 5 must be squared, resulting in 5 multiplied by 5 = 25.
B: The number 10 is not the square of 5. C: CE uses E instead of D, failing the +2 letter sequence. D: AC does not follow the +2 letter progression from AB.
A is correct because the letter pair advances to the next consecutive pair in the alphabet (CD) and the number 5 is squared to result in 25.
In alphanumeric analogies, always check for two parallel operations: one for letters (constant shift) and one for numbers (arithmetic or exponential relation).
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