Four students A, B, C, D sit at the four corners of a square facing the center. E sits at the center facing only C. A is sitting facing the back of E. If D is on the right of E (from E’s perspective), where is B relative to E?

Introduction / Context:
In square seating with all corners facing the center, “left/right of E” is interpreted from E’s facing direction. The statements fix C, A, and D relative to E; B then occupies the remaining corner and its relative side to E is determined.

Given Data / Assumptions:

• E faces C ⇒ orient E toward C’s corner (call that “north”).
• A faces E’s back ⇒ A sits at the opposite corner from C (the “south” corner).
• D is on the right of E ⇒ with E facing north, E’s right is the “east” corner; place D there.
• The remaining (west) corner must be B.

Concept / Approach:
Fix E’s facing toward C; interpret “right of E” using E’s facing. The leftover corner is B, whose relative side to E is then E’s left.

Step-by-Step Solution:

Why Other Options Are Wrong:
“Back of E” refers to south (occupied by A); “right of E” is east (occupied by D). Option (c) is not a relative placement of B to E.

Final Answer:
B is sitting on the left of E