Question
Download Solution PDFA, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. The product of floors on which F and D live is 15. E lives immediately above C .The sum of floors on which A and D live is 7. What is the sum of floors on which A and E live?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6.
1) The product of floors on which F and D live is 15.
2) The sum of floors on which A and D live is 7.
| Floor | Person | |
| Case 1 | Case 2 | |
| 6 | ||
| 5 | F | D |
| 4 | A | |
| 3 | D | F |
| 2 | A | |
| 1 | ||
3) E lives immediately above C.
As there is no possible position for E in case 2, therefore is eliminated
After positioning E and C only one position is left which will be occupied by the only person left i.e. B.
| Floor | Person |
| Case 1 | |
| 6 | B |
| 5 | F |
| 4 | A |
| 3 | D |
| 2 | E |
| 1 | C |
Thus, the sum of floors on which A and E live is 6.
Hence, "Option 2" is the correct answer.
Last updated on Jul 17, 2025
-> RRB NTPC Under Graduate Exam Date 2025 has been released on the official website of the Railway Recruitment Board.
-> The RRB NTPC Admit Card will be released on its official website for RRB NTPC Under Graduate Exam 2025.
-> UGC NET Result 2025 out @ugcnet.nta.ac.in
-> Candidates who will appear for the RRB NTPC Exam can check their RRB NTPC Time Table 2025 from here.
-> The RRB NTPC 2025 Notification released for a total of 11558 vacancies. A total of 3445 Vacancies have been announced for Undergraduate posts like Commercial Cum Ticket Clerk, Accounts Clerk Cum Typist, Junior Clerk cum Typist & Trains Clerk.
-> A total of 8114 vacancies are announced for Graduate-level posts in the Non-Technical Popular Categories (NTPC) such as Junior Clerk cum Typist, Accounts Clerk cum Typist, Station Master, etc.
-> Prepare for the exam using RRB NTPC Previous Year Papers.
-> Get detailed subject-wise UGC NET Exam Analysis 2025 and UGC NET Question Paper 2025 for shift 1 (25 June) here