# GATE2014 AE: GA-7

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Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered $1$, the floor above it $2$, and so on) Anuj lives on an even-numbered floor, Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal's floor. Dilip does not live on floor number $2$. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?

$$\begin{array}{|c|c|c|c|c|c|c|} \hline \text{} & \text{Anuj} & \text{Bhola} &\text{Chandan} &\text{Dilip} & \text{Eswar} & \text{Faisal} \\\hline \text{(A)} & \text{6} &\text{2} &\text{5} &\text{1} &\text{3} &\text{4} \\\hline \text{(B)} & \text{2} &\text{6} & \text{5}& \text{1} &\text{3} &\text{4}\\\hline \text{(C)} & \text{4} &\text{2} & \text{6} & \text{3} &\text{1} &\text{5}\\\hline \text{(D)} & \text{2} &\text{4} & \text{6} & \text{1} &\text{3} &\text{5}\\\hline \end{array}$$

edited

Time is less hence, calculating and applying permutations and combinations would be a layman's choice.

Question says that

Eswar does not live on a floor immediately above or immediately below Bhola

Option (A): Bhola's floor number $-\;2$ and Eswar's floor number $-\;3$

Option (B): Bhola's floor number $-\;6$ and Eswar's floor number $-\;3$

Option (C): Bhola's floor number $-\;2$ and Eswar's floor number $-\;1$

Option (D): Bhola's floor number $-$ $4$ and Eswar's floor number $-\;3$

Here, we can clearly see that in options $A, C$ and $D$ the statement is not followed.

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1 vote
the key point of the question is eswar and bhola never be adjecnt so only B option satisfied otherwise all are wrong
1 vote
Quickly translating it into equations while reading the ques:

Six ppl A B C D E F.

A, B - even no.

D!=2

C>F

F=D+3 --> Option C, D gone.

|E-B| >1 --> Option A gone

So option B
The answer is option $B$
option B is correct

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