Correct option is A
Concept:
All except option a follow the same pattern.
192 : 202, 232 : 242, 212 : 222
the second number is obtained by squaring the next integer after the integer whose square gives the first number (i.e., (n+1)2).
Explanation:
225:169
225 is the square of 15.
169 is the square of 13.
361:400
361 is the square of 19.
400 is the square of 20.
529:576
529 is the square of 23.
576 is the square of 24.
441:484
441 is the square of 21.
484 is the square of 22.
From the analysis, we can see:
In pairs (b), (c), and (d), the second number is obtained by squaring the next integer after the integer whose square gives the first number (i.e., (n+1)2).
In pair (a), both numbers are squares of two integers, but they do not follow the same pattern of consecutive squares.
Therefore, the odd number-pair is (a) 225:169.