Question

Persons X, Y, Z and Q live in red, green, yellow or blue coloured houses placed in a sequence on a street. Z lives in a yellow house. The green house is adjacent to the blue house. X does not live adjacent to Z. The yellow house is in between the green and red houses. The colour of the house X lives in is:

• A. green
• B. blue
• C. red
• D. cannot be determined

Hint:

In colour-house puzzles, first satisfy the "between" condition, then check adjacency. Eliminate options based on restrictions one by one.

Answer 1

The Correct Option is B

Step 1: Place Z.
Z lives in the yellow house. Step 2: Use "yellow is between green and red."
So the order must be Green – Yellow – Red (in sequence). Step 3: Add blue adjacency.
Green must be adjacent to Blue. So full sequence is: \[ \text{Blue – Green – Yellow – Red} \] Step 4: Condition for X.
X does not live adjacent to Z (yellow). Neighbours of Yellow are Green and Red. So X cannot be Green or Red. Step 5: Remaining option.
That leaves Blue. So X lives in the Blue house. \[ \boxed{\text{(b) Blue}} \]