Which of the following statement is true?

Solution

We have: (Note:- If e person is at A gap of two places from someone, that means there must be two places between them. If e person is two places away from someone, that means there must be one place between them) Divya is two places below Ankit, who works in YES, that means Divya lives at a gap of one floor below Ankit, Divya neither works in ICICI nor lives on the lowermost floor, that means in case (1) Ankit lives on the topmost floor, in case (2) Ankit lives the floor marked as 4.The one who works in YES lives in one of the rooms right to the one whose age is 28 years, that means in case (1a) Ankit lives in room 5C and the one whose age is 28 years lives in the room 5A, in case (1b) Ankit lives in room 5B and the one whose age is 28 years lives in 5A, (1c) Ankit lives in room 5C and the one whose age is 28 years lives in the room 5B, in case (2a) Ankit lives in room 4C and the one whose age is 28 years lives in the room 4A, in case (2b) Ankit lives in the room 4B and the one whose age is 28 years lives in the room 4A, (2c) Ankit lives in the room 4C and the one whose age is 28 years lives in the room 4B. The one who works in IDFC lives at a gap of two floors from the one whose age is 28 years. Ankush lives just above the one who works in IDFC, whose age is neither 64years nor lives adjacent to Manisha. Ankush lives second to the left of the one who works in Indian, that means case (1c) & case (2c) are not valid Raja lives at any floor below the one who works in Indian and is second to the right of the one whose age is 64years, since, age of the one who works in IDFC is not 64 years, thus in case (1a) & case (1b) Raja lives in the room 1C and case (2a) & case (2b) are not valid. Based on above given information we have: Case (1c) & case (2c) are not valid as Ankush lives second theto left of the one who works in Paytmand case (2a) & case (2b) are not valid as age of the one who works in IDFC is not 64 years. Shilpa lives in the adjacent room on the same floor of the one who works in YES.  One person lives between the one whose age is 26 years and Shilpa, whose age is neither 28 years nor works in RBI. The one whose age is 26 years works in BOI but not lives at the lowermost floor. The one who works in BOI lives in the immediate left room of the one who works in BOM, that means in case (1a) the one who works in BOI lives on the floor marked as 2 and room marked 3B is vacant, in case (1d) the one who works in BOI lives on floor marked 2 and room marked 4B is vacant and case (1b) is not valid. The one whose age is 26 years lives in the room exactly between Babli and the one whose age is 72 years, since, all persons in the same room combination live in the order of their age, that means Babli works in IDFC.None of the adjacent rooms are vacant, that means case (1d) is not valid. Case (1b) is not valid as the one who works in BOI lives in the immediate left room of the one who works in BOM and case (1d) is not valid as no two adjacent rooms are vacant. Again, we have: Since, all persons in same room combination live in the an order of their age, thus, age of Raja must be 84 years. Babli lives at a gap of one floor from Pooja, whose age is 32 years, that means Pooja lives in the room marked as 4A.  The one who works in RBI lives in the room immediate left of Aman, whose age is neither 42 years nor he works in SBI. The difference in age of the one who works in RBI and Babli is 16 years, that means we have two possible combination of the age whose difference is 16 years, (32, 48) & (48, 64), thus in case (1a) age of Babli is 48 years and Aman lives in the room marked 4B, in case (1e) age of Babli is 48 years and Aman lives in the room marked as 1B. Since, none of the adjacent rooms are vacant, thus case (1e) is not valid. Based on above given information we have: Case (1e) is not valid as none of the adjacent rooms are vacant and there must be three vacant rooms. Manisha lives in one of the adjacent rooms of the one who works in Canara. One person lives between the one who works in Canara and Manu, that means Manisha lives in the room marked as 5A and Shilpa works in Canara.  Two persons live between the one who works in SBI and the one whose age is 63 years, that means Raja works in SBI and Ankit’s age is 63 years. The difference in age of the one who works in SBI and the one who works in Indian is 18 years, that means age of the one who works in Indian must be 66 years. The one who works in PNB lives at a gap of one floor from the one who works in UCO, who doesn’t live in adjacent room of the one who works in RBI, that means the one who works in UCO is 64 years. The difference between the age of the one who works in PNB and Shilpa is 15 years, that means two possible combination of age is (36, 51) & (48, 63). Since, all the person in same room combination are arranged in an order, thus the age of Ankush must be 34 years and age of Shilpa is 51 years. As, only remaining age is 34 & 63 years, thus, age of Aman must be 34 years and age of Ankit must be 63 years. Based on above given information we have: Suraj neither works in UCO nor lives adjacent to vacant room, that means Suraj works in BOM and the only remaining person Rajesh works in UCO. Rajesh lives on any room below the one who works in HDFC, that means Manisha works in HDFC.Since, the only remaining banks is ICICI, thus Aman must work in ICICI. Based on above given information we have the final arrangement as follows: