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CAT Exam Model Paper 5 with solutions for free online practice
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Question : 53
Total: 60
Five people A, B. C, D and E stay in five different rooms of GMVN Hotel. Their rooms lie in a row and are numbered serially from ‘10T to '105'. The number of C's room is smaller than that of E’s room which in turn is smaller than that of A’s room. Moreover, the difference between the room numbers of E and C is the same as the difference between the room numbers of A and E. D is in room number 104 and his room is not next to E's room. What is E’s room number?
102
101
105
Data Insufficient
Validate
Solution:
Let a, b. c, d and e denote the room numbers of A, B, C, D and E respectively. It is given that:
e - c = a - e
⇒ 2e = a + c
So a, e and c are in A.P.
Since E’s room is not next to D’s room, E must be in room number 102.
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