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Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All pins are needles.

Some needles are tables.

No needle is a bin.

Conclusions:

I. No table is a bin.

II. Some pins are tables.

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SSC MTS Official Paper (Held On: 14 Jun, 2023 Shift 3)
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  1. Only conclusion I follows
  2. Neither conclusion I nor II follows
  3. Only conclusion II follows
  4. Both conclusions I and II follow

Answer (Detailed Solution Below)

Option 2 : Neither conclusion I nor II follows
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Detailed Solution

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Statements:

All pins are needles.

Some needles are tables.

No needle is a bin.

The Venn diagram as per the given statements:

F1 Gen Intelligence Priya 19 6 24 D10

Conclusions:

I. No table is a bin. → Not follow (Because there is no direct relation between Bin and Tables, so it can be possible but not definitely true)

II. Some pins are tables. → Not follow (Because there is no direct relation between Pins and Tables, so it can be possible but not definitely true)

Hence, the correct answer is "Neither conclusion I nor II follows".

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-> SSC MTS Notification 2025 has been released by the Staff Selection Commission (SSC) on the official website on 26th June, 2025.

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-> As per the SSC MTS Notification 2025, the last date to apply online is 24th July 2025 as per the SSC Exam Calendar 2025-26.

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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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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
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