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<u>Statements :</u> No paper is pen. No pen is pencil. All erasers are papers.<br><br><u>Conclusions :</u><br> I. Some papers are erasers.<br>II. No pencil is eraser.<br>III. No pen is eraser.<br>IV. All papers are erasers.

Correct Answer: None of these
I is the converse of the third premise and so it holds.

No paper is pen. No pen is pencil.

Since both the premises are negative, no definite conclusion follows.

All erasers are papers. No paper is pen.

Since both the premises are universal and one premise is negative, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No eraser is pen'. III is the converse of this conclusion and so it holds.

Hence, only I and III follow.

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some pens are pencils.
II. All pencils are erasers.

Conclusions:

I. Some pens are erasers.
II. No pens are erasers.
III. Some erasers are pencils

'Some pencils are pens' and 'all pens are erasers' . If both these statements are true then which of the following statement (s) os /are definitely true? I. All pencils are erasers II. Some erasers are pencils III. All erasers are pencils

Read the statements and select a conclusion from the given alternatives. Statements : All pens are pencils. Some pencils are erasers. Some erasers are ropes. All ropes are tents. Conclusions : I. Some tents are trams
II. Some ropes are pens
III. Some erasers are pens
IV. Some pencils are pens

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem tobe at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. Some pens are erasers.
Conclusions:
I. Some pencils are erasers.
II. All erasers are pens.

An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is

Cost of 8 pencils, 5 pens and 3 erasers is Rs 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs 221.What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?

The following question consists offour statements followed by two conclusions.Consider the statements to be true even ifthey vary from commonly known facts and find out which of the conclusions logicallyfollow(s).
Statements:
All papers are books.
All pencils are pens.
No paper is pencil.
No stationary is book. Conclusions:
I. Some papers are stationary is a possibility.
II. Some pens are books as well as papers.

Statements : Some uniforms are covers. All covers are papers. All papers are bags.

Conclusions :
I. All covers are bags.
II. Some bags are covers, papers and uniforms.
III. Some uniforms are not papers.

Statements : All the books are papers. Some papers are journals. Some journals are calendars.

Conclusions :
I. Some journals are books.
II. Some calendars are papers.
III. Some books are journals.
IV. Some books are calendars.

Statements : Some papers are cats. All cats are bats. No bat is horse.

Conclusions :
I. Some papers are horses.
II. No horse is cat.
III. Some bats are papers.
IV. All papers are bats.