Logical Reasoning - Statement and Conclusion - Discussion

Discussion Forum : Statement and Conclusion - Section 2 (Q.No. 13)
Directions to Solve

In each of the following questions, a statement/group of statements is given followed by some conclusions. Without resolving anything yourself choose the conclusion which logically follows from the given statements).


13.
All beggars are poor.
If A is a beggar, then A is not rich.
If A is not rich, then A is not a beggar.
All those who are poor are beggars.
If A is rich, then A is not a beggar.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
15 comments Page 1 of 2.

Madhuram Acharya said:   3 years ago
@All.

Please listen; In the option A, most people think not rich = poor, that is the main mistake.

Don't think of the meaning, just take them as categories. Two categories are Poor and Not Rich. And A is beggar, then he belongs in the category of poor.
Statement A classifies A as "Not Rich", which is not the same as "Poor".
Hence, D is the Correct option.
(5)

Shraddha said:   7 years ago
Answer A is directly connected to the given statement. So it is A.
(3)

Vinay said:   6 years ago
Negation(~).

~(a->b)= ~b->~a.

All beggars are poor can be rewritten as 'if A is a Beggar, A is poor'.
On applying negation, we get;
If A is not poor, A is not a Beggar. which can be written as If A is rich, A is not a beggar.
(2)

Neha said:   10 years ago
A and D both are right answers in this scenario.
(1)

Emeka said:   9 years ago
The statement tells us nothing about the rich being beggars or not. So, D isn't correct.

A is correct cause it follows directly from the statement.

As long as anyone is a beggar, they are not rich.
(1)

Maitreya said:   1 decade ago
A is correct because the statement says all beggars are poor. So if A is a beggar, then he has to be poor. Then he is not rich.

Similarly, D is correct because it means rich people cannot be beggars. As the original statement is that all beggars are poor, it follows that all poor may not be beggars, but no rich person can be a beggar. Therefore, D is correct.
Therefore answers A as well as D are correct.

Rajesh R said:   1 decade ago
Even I knew that A & D are correct. But which is the best choice among them.

Can anyone substantiate please?

Goutam said:   1 decade ago
You should go with option A. It is much close to the logical deduction. If you choose option D it is then theory of induction, which takes longer time. Option A is direct derivative so it takes less time.

Raju said:   1 decade ago
Why not the option A? Since A is directly conclude from question.

Y J said:   1 decade ago
A justification for saying that D - and not A - is the correct answer is that A is simply a rewording of the original statement. D, on the other hand, is an actual substantively different statement that follows from the original statement.


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