search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
1 vote
315 views

The question is based on the information provided below.

A number of dacoits need to hole up in their hideout. The problem is that, as with many criminal groups, there are a number of personality conflicts that disallow certain members of the dacoit group from being in the hideout at the same time as certain other members. The personality issues of the bandits $\text{A, B, C, D, E, F, G,}$ and $\text{H}$ are illuminated by the following constraints:

  1. If $\text{D}$ is in the hideout, then $\text{E}$ is in the hideout.
  2. If $\text{E}$ is not in the hideout, then $\text{A}$ is in the hideout.
  3. If $\text{B}$ is not in the hideout, then $\text{C}$ is not in the hideout.
  4. If $\text{F}$ is in the hideout, then $\text{H}$ is not in the hideout.
  5. If $\text{A}$ is not in the hideout, then $\text{B}$ is in the hideout.

If $\text{D}$ and $\text{C}$ are in the hideout, then who could be outside of the hideout?

  1. $\text{A}$ and $\text{E}$
  2. $\text{B}$ and $\text{G}$
  3. $\text{E}$ and $\text{B}$
  4. $\text{H}$ and $\text{F}$
in Logical Reasoning 10.7k points 119 744 834
recategorized by
315 views

2 Answers

1 vote
 
Best answer

Correct Answer: (D)

Explanation:

If $D$ and $C$ are in the hideout, then who could be outside of the hideout?

(D) According to diagram (A.) $E$ and $B$ must be in the hideout. Therefore, $A$, $G$, $F$, or $H$ could be out.

(A) $E$ must be in.

(B) $B$ must be in.

(C) $E$ and $B$ must be in.

(E) D is the correct answer.

878 points 1 9
selected by
0 votes
We have

$(D\to E), (\neg E \to A), (\neg B \to \neg C), (F \to \neg H), (\neg A \to B)  $

Now, we have $(D,C)$ inside the hideout.

So, $E$ must also be inside (due to $D \to E),$ and $B$ must also be inside due to $([\neg B \to \neg C] \leftrightarrow [C \to B]).$ This eliminates options A, B and C.

Correct answer: D.
8.3k points 55 131 178
Answer:

Related questions

2 votes
2 answers
1
552 views
The question is based on the information provided below: Eight fighter pilots flying over a conflict region notice some hostile activity taking place in a village. To peaceably resolve the conflict, they land their planes and decide that it would be best to send those pilots who would best complement each other as negotiators to ... $\text{G, D, C}$ $\text{E, A, H, F}$ $\text{A, B, F, G}$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 119 744 834 552 views
3 votes
2 answers
2
580 views
The question is based on the information provided below: Eight fighter pilots flying over a conflict region notice some hostile activity taking place in a village. To peaceably resolve the conflict, they land their planes and decide that it would be best to send those pilots who would best ... not chosen. Who could be sent to negotiate alone? $\text{G}$ $\text{A}$ $\text{C}$ None of the above
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 119 744 834 580 views
2 votes
2 answers
3
564 views
The question is based on the information provided below: Eight fighter pilots flying over a conflict region notice some hostile activity taking place in a village. To peaceably resolve the conflict, they land their planes and decide that it would be best to send those pilots who would best ... $5$ $6$ $7$ $8$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 119 744 834 564 views
2 votes
1 answer
4
598 views
The question is based on the information provided below: Eight fighter pilots flying over a conflict region notice some hostile activity taking place in a village. To peaceably resolve the conflict, they land their planes and decide that it would be best to send those pilots who would best complement each other as negotiators to ... $\text{H, B, A, C, D}$ $\text{H. C, D, B, A, F}$
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 119 744 834 598 views
2 votes
1 answer
5
624 views
The question is based on the information provided below: Eight fighter pilots flying over a conflict region notice some hostile activity taking place in a village. To peaceably resolve the conflict, they land their planes and decide that it would be best to send those pilots who would ... negotiate $\text{E}$ is sent to negotiate $\text{B}$ is sent to negotiate $\text{G}$ is sent to negotiate
asked Apr 3, 2020 in Logical Reasoning Lakshman Patel RJIT 10.7k points 119 744 834 624 views
...