Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Six people A, B, C, D, E and F live on six different floors of the same building. The bottom-most floor of the building is numbered as 1; the floor above it is numbered as 2 and so on. The topmost floor is numbered as 6. A lives on an even-numbered floor. Only three people live between A and B. F lives immediately above E. B does not live on floor number 2. Only two people live between F and D. F lives on an even-numbered floor. Who lives on floor number 3?
E
C
B
D
E
Start by placing the most constrained variables (F and E) and use the gap constraint for A and B to quickly narrow down the floors.
Start by placing the most constrained variables (F and E) and use the gap constraint for A and B to quickly narrow down the floors.
Establish floor constraints for A and B
A is on an even floor (2, 4, 6). Three people live between A and B. If A is on floor 6, B is on floor 2 (invalid per constraints). If A is on floor 4, B is on floor 0 (impossible). If A is on floor 2, B is on floor 6. Thus, B=6 and A=2.
Place F and E
F is on an even floor and lives immediately above E. The even floors are 2, 4, 6. 2 and 6 are occupied. Thus, F must be 4 and E must be 3.
Place D and determine the remaining position
Two people live between F(4) and D. This means D can be on floor 1 (4-3-2-1). The only remaining person C occupies floor 5.
B: C lives on floor 5, not 3. C: B lives on floor 6, not 3. D: D lives on floor 1, not 3.
A is correct because the sequence of floors from 6 to 1 is B=6, C=5, F=4, E=3, A=2, D=1, placing E on floor 3.
In floor-based puzzles, always identify the 'fixed' anchor element first, then map the 'gaps' to eliminate invalid possibilities for the remaining entities.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants