Questions consist of a set of numbered statements. Assume that each one of these statements is individually true. Each of the five choices consists of a subset of these statements. Choose the subset as your answer where the statements therein are logically consistent among themselves.
- Those who think more can create new things.
- Those who do not have brain are dull.
- Those who have a brain are intelligent people.
- Those who have a brain are artists.
- Some intelligent people are not artists.
- Intelligent people think more.
- Dull people cannot think more.
- Those who can create new things are artists.
- 1, 4, 3, 8 and 6
- 8, 5, 6, 1 and 3
- 2, 7, 6, 5 and 4
- 2, 3, 4, 6 and 1
- Mangoes are not oranges.
- Grapes are apples.
- Apples are mangoes.
- Mangoes are bananas.
- Bananas are oranges.
- Oranges are grapes.
- Bananas are not apples.
- No mango is an orange.
- 2, 3, 4, 5 and 6
- 1, 4, 2, 6 and 7
- 3, 4, 5, 6 and 7
- 8, 4, 6, 2 and 3
- Some violets are not blue.
- All oranges are red.
- No orange is red.
- Some oranges are violets.
- Some blues are greens.
- Every red is green.
- No green is blue.
- All violets are red.
- 1, 2, 6, 5 and 4
- 1, 3, 4, 6 and 7
- 1, 2, 7, 6 and 4
- 2, 8, 6, 5 and 7
I'm generally able to solve these types of questions when there are only 3 statements, but I don't know how to solve the above questions. I found these questions in one of the booklets on logical reasoning that I have recently started practicing from. In each of the questions, the answer comes out by a different approach so asking only 1 of them wouldn't have solved my problem.
How would one solve the above 3 questions?
Here's my attempt at Q2 (Tick means distributed and cross means undistributed):
$G\checkmark A\times$; $A\checkmark M\times$; $M\checkmark B\times$; $B\checkmark O\times$; $O\checkmark G\times$;
$M\checkmark O\checkmark$; $M\checkmark B\times$; $G\checkmark A\times$; $O\checkmark G\times$; $B\checkmark A\checkmark$;
$A\checkmark M\times$; $M\checkmark B\times$; $B\checkmark O\times$; $O\checkmark G\times$; $B\checkmark N\checkmark$;
$M\checkmark O\checkmark$; $M\checkmark B\times$; $O\checkmark G\times$; $G\checkmark A\times$; $A\checkmark M\times$;
But beyond this I couldn't move a step ahead in figuring out which one out of the 4 is correct.
Odd number of negative or particular statements by default make that option invalid.
I would love to know the reasoning behind the hint too.
Answers to the questions are as follows: