In this question two statements are given and their respective conclusions numbered i and ii. You have to decide which of the given conclusions is logical in respect of the statements assuming that the statements are true.

Statements: Some teachers are writers. All writers are readers.

Conclusions:

i). Some readers are teachers.

ii). Some writers are readers.

Choose the most appropriate one from the following options:

A. Only conclusion i is logical

B. Only conclusion ii is logical

C. Either conclusion i or ii is logical

D. Neither conclusion i nor ii is logical

E. Both conclusions i and ii are logical.

This question was previously asked in
RPF SI (2018) Official Paper (Held On: 24 Dec, 2018 Shift 1)
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  1. E
  2. C
  3. A
  4. D

Answer (Detailed Solution Below)

Option 1 : E
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Detailed Solution

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The least possible Venn diagram for the given statements is as shown below :

qImage66e2eb8f7299925e3ef2de99

Conclusions:

I. Some readers are teachers → Follow (As some teachers are writers and all writers are readers. As some part of teachers is common with writers which whole comes in readers, therefore some readers are teachers is true.)

II. Some writers are readers → Follow (As all writers are readers. As whole writers comes in readers, therefore all onions are radish is true.)

∴ Here, Both conclusions i and ii are logical.

Hence, the correct answer is "Option 1"

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