Logical Deduction Questions

In a diagram:
1. Rectangle shows people who eat Apples
2. Ellipse shows people who eat Bananas
3. Triangle shows people who eat Cherries



Which letter(s) in the diagram represent those people who eat only bananas (neither apples nor cherries)?

Six friends - A, B, C, D, R, and S are sitting in a row facing North. Use the clues below to determine their exact positions:
1. R is to the immediate left of A.
2. C is second to the left of R and immediate right of S.
3. D and A are sitting at the extreme left end and right end respectively.

Question: Who is sitting to the third right of D, who is also to the immediate right of C?

Identify the correct option regarding the Statements and Conclusions given:
Statements:
I. Some pumpkins are beetroots.
II. All beetroots are garlic.
III. All garlic are turnips.

Conclusions:
I. Some pumpkins are garlic.
II. All garlic are pumpkins.
III. All beetroots are turnips.

Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.
Statements:

All students in my class are active.

Rohini is not active.

Conclusions:
I. Rohini is not a student of my class.
II. Rohini must be active.

Given is a statement, followed by four conclusions. Read the statement carefully and decide which of the conclusions logically follow(s) from the given statement.
Statement:
This book can help because all good books help.

Conclusions:
I. This is not a good book.
II. This is a good book.
III. No good book helps.
IV. Some good books help.

Select the word from the given alternatives which cannot be formed using the letters of the given word "ESTABLISHMENT", without repeating any letter more times than it appears in the original word.

If $8$ insects and $2$ creatures together have $10$ heads and each insect has $1$ head, how many heads do $2$ creatures together have?

Statement: 'Smoking is injurious to health' - A mandatory warning printed on cigarette packets.
Assumptions:
I. People read printed matter on a cigarette packet.
II. People take careful note of a warning.
III. Non-smoking promotes health.

Statements:
1. Some papers are pens.
2. Angle is a paper.

Conclusions:
I. Angle is not a pen.
II. Angle is a pen.