Directions: In each question four statements followed by four conclusions numbered I, II, III and IV have been given. You have to take the given statement to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements. Give answer.

Statements:

Some Books are Pens.

Some Pens are Erasers.

No Erasers is Scales.

Only Books are Boxes.

Conclusions:

I. Some Boxes are Scales.

II. Some Pens can be Scales.

III. No Books are Erasers.

IV. Some Books are Erasers.

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  1. Only conclusion III and IV follows
  2. Only conclusion I, II and III follows.
  3. Either conclusion III or conclusion IV follows
  4. Both conclusion II and either conclusion III or conclusion IV follows
  5. None of the conclusion follows

Answer (Detailed Solution Below)

Option 4 : Both conclusion II and either conclusion III or conclusion IV follows
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Detailed Solution

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The least possible venn diagram is:

IMG -    1425      06-06-25      Sourav Saha  3

Conclusions:

I. Some Boxes are Scales   – False (Since, there is no direct relation between them so it is not definitely true).

II. Some Pens can be Scales   – True (Since, there is no direct relation between them so it can be possible).

III. No Books are Erasers   –  False (Since, there is no direct relation between them so it is not definitely true)

IV. Some Books are Erasers   – False (Since, there is no direct relation between them so it is not definitely true)

Since, conclusion III and IV are complementary to each other.

Hence, both conclusion II and either conclusion III or conclusion IV follows.

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