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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.

Statements:
All jacks are kings.
All kings are queens.

Conclusions:
(I) Some queens are jacks.
(II) All jacks are queens.

This question was previously asked in
OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 2)
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  1. Only conclusion (I) follows.
  2. Only conclusion (II) follows.
  3. Both conclusions (I) and (II) follow.
  4. Neither conclusion (I) nor (II) follows.

Answer (Detailed Solution Below)

Option 3 : Both conclusions (I) and (II) follow.

Detailed Solution

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Given Statements:

All jacks are kings.

All kings are queens.

The least possible Venn diagram for the given statements is:

qImage6800d9bafbd2dff286f6fd79Task Id 1276 Daman (2)

Conclusions:

I. Some queens are jacks - True (Since all jacks are kings and all kings are queens, jacks are a subset of queens, implying some queens are jacks).

II. All jacks are queens - True (The statement "All kings are queens" and "All jacks are kings" directly implies that all jacks are also included within the set of queens).

So, Both conclusions I and II follow.

Hence, the correct answer is "Option 3".

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-> The selection process includes Written Examination, PMT and PET, and Certificate Verification.

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More Conventional Syllogism Questions

Q1.Statements : Some pens are books. Some books are pencils. Conclusions : I. Some pens are pencils. II. Some pencils are pens. III. All pencils are pens. IV. All books are pens.
Q2.Statements: Some ants are parrots. All the parrots are apples. Conclusions: I. All the apples are parrots. II. Some ants are apples.
Q3. In this question two statements are given followed by two conclusions i and ii. You have to assume that everything given in the statements is true, then consider the two conclusions together and decide which of them logically follows from the information given in the statements beyond any doubt. Statements : Some trees are flags. Some flags are small boats. Conclusions : i) All trees are flags. ii) Some trees are small boats. Choose the most appropriate one from the following options : A. Only conclusion i follows. B. Only conclusion ii follows. C. Either conclusion i or ii follows. D. Neither conclusion i nor ii follows. E. Both conclusions i and ii follow.
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More Syllogism Questions

Q1.Statements : Some pens are books. Some books are pencils. Conclusions : I. Some pens are pencils. II. Some pencils are pens. III. All pencils are pens. IV. All books are pens.
Q2.Statements: Some ants are parrots. All the parrots are apples. Conclusions: I. All the apples are parrots. II. Some ants are apples.
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Q6. In this question three statements are given followed by four conclusions. You have to assume that everything given in the statements is true, then consider the given conclusions together and decide which of them logically follows from the information given in the statements beyond any doubt. Statements: All meters are feet. Some feet are inches. All inches are yards. Conclusions: i. Some feet are yards ii. Some meters are yards. iii. No meters are yards iv. All meters are inches
Q7.In this question three statements are given and three conclusions are given. You have to decide which of the given conclusions is logically true, assuming that the statements are true. Statements: All boxes are games. All drugs are boxes. Some cups are boxes. Conclusions: i. Some games are cups ii. All drugs are games iii. Some boxes are drugs
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