Classification – Ordered pairs (constant fraction rule): in three pairs the mapping is y = (3/4) * x exactly; one pair follows a different ratio. Identify the odd one out. Options: 96 : 80, 64 : 48, 80 : 60, 104 : 78.

Introduction / Context:Ratio-based pair classification checks whether a consistent multiplicative factor maps x to y. Any deviation indicates the outlier.

Given Data / Assumptions:

• Test y = (3/4) * x for each pair.
• (64,48): 64*(3/4)=48 ✔
• (80,60): 80*(3/4)=60 ✔
• (104,78): 104*(3/4)=78 ✔
• (96,80): 96*(3/4)=72 ≠ 80 ✖

Concept / Approach:Use an exact fractional check (no rounding). The three compliant pairs share the same fraction 3/4; the remaining pair does not.

Step-by-Step Solution:Compute (3/4)*x for each pair and compare to y.Mark the mismatch as the odd one out.

Verification / Alternative check:Reduce y:x to lowest terms: 48:64=3:4, 60:80=3:4, 78:104=3:4, while 80:96=5:6.

Why Other Options Are Wrong:64:48, 80:60, 104:78: All obey the same 3/4 ratio.

Common Pitfalls:Accepting near-equality; proportional rules require exact equality in these puzzles.

Final Answer:96 : 80