Question

What can be the distance covered by car \(Y\)?

• A. \(55\) km
• B. \(73\) km
• C. \(27\) km
• D. \(41\) km

Hint:

After fixing two numeric anchors in a monotone lineup, squeeze each candidate between them; this eliminates wrong options in seconds.

Answer 1

The Correct Option is D

Distances increase strictly left \( \rightarrow \) right. With \(Q=37\) km at position 2 and \(R=50\) km at position 5, a valid increasing assignment is: \[ \underbrace{S}_{1} \lt \underbrace{Q=37}_{2} \lt \underbrace{Y}_{3} \lt \underbrace{T}_{4} \lt \underbrace{R=50}_{5} \lt \underbrace{P}_{6} \lt \underbrace{X}_{7}. \] Among the options, the only value for \(Y\) that sits above 37 yet below 50 is \(\boxed{41\ \text{km}}\).