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Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements.

Statements:

All tools are spanners.

Some spanners are utensils.

No spanner is an iron.

Conclusions:

(I) Some tools are irons.

(II) Some utensils are tools.

(III) Some utensils are not iron.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. Only conclusion III follows
  2. All conclusions I, II and III follow
  3. Only conclusion I follows
  4. Either conclusion I or conclusion III follows

Answer (Detailed Solution Below)

Option 1 : Only conclusion III follows
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Detailed Solution

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

F1 Savita SSC 16-2-24 D33

Conclusions:

(I) Some tools are irons → False (As All tools are spanners and No spanner is an iron so, Some tools are irons is false)

(II) Some utensils are tools → False (As All tools are spanners and Some spanners are utensils so, Some utensils are tools is false)

(III) Some utensils are not iron → True (As All tools are spanners and Some spanners are utensils and No spanner is an iron so, Some utensils are not iron is true)

Hence, the correct answer is "Only conclusion III follows".

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More Conventional Syllogism Questions

Q1.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.
Q2.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 doors are walls. All walls are floors. Conclusions: (I) All floors are walls. (II) Some floors are doors.
Q3.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 conclusions logically follow(s) from the statements. Statements: Some pears are candles. All drillers are candles. Conclusions: (I): Some pears are drillers. (II): All candles are drillers.
Q4.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 bowls are glasses. All glasses are plates. Some bowls are spoons. Conclusions: (I) Some plates are bowls. (II) All glasses are spoons.
Q5.Read the given statements and conclusions carefully. The statements you make are to be believed as true, even if they appear to differ from generally known facts. You are to decide which of the given conclusions logically follows from the given statements. Statement: All tables are chairs. No desks are chairs. All benches are chairs. Conclusions: (I): Some benches are desks. (II): No table is desk.
Q6.After three statements, three conclusions | || and II are given. Assuming that the information given in the statements is correct, even if it appears to differ from commonly known facts, decide which of the given conclusions logically follows from the given statements. Statement: All tin are silver. Some silver are uranium. No silver is iron. Conclusions: (I) Some tin are iron. (II) Some uranium are tin. (III) Some uranium is not iron.
Q7.Two conclusions, I and II follow three statements. The statements are to be accepted as true, even if they appear to be at variance with commonly known facts, and the question is to decide which of the given conclusions logically follows from the statements. (1) All wood is iron. (2) All irons are nickel. (3) No nickel is no copper. Conclusions: (I) Some iron are copper. (II) Some copper are wood.
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Q9.Read the given statements and conclusions carefully. Accept the information in the statements as correct, even if they appear to differ from commonly known facts, and decide which of the given conclusions logically follow from the statements. Statement: (I) Some rolls are buckets. (II) Some buckets are towels. Conclusion:  (l) No towels are rolls. (II) All towels are buckets.
Q10.Read the given statements and conclusions carefully. Accept the information given in the statements as correct, even if it appears to differ from commonly known facts and decide which of the given conclusions logically follow from the statements. statement: (i) All bikes are cars. (II) All cars are airplanes. conclusion: (I) All bikes are airplanes. (ll) Some are airplanes, cars.

More Syllogism Questions

Q1.Directions: In the following questions, few statements are given and these statements are followed by two conclusions numbered i and ii. You ha Choose, (A) Only (i) conclusion follows (B) Only (ii) conclusion follows (C) Neither (i) nor (ii) follows (D) Both (i) and (ii) follow (E) Either (i) or (ii) follows Statements: All materials are products. All products are goods. All goods are bad. Conclusions: i) All materials are goods. ii) All products are bad.   
Q2.Directions: In the following questions, few statements are given and these statements are followed by two conclusions numbered i and ii. You ha Choose, (A) Only (i) conclusion follows (B) Only (ii) conclusion follows (C) Neither (i) nor (ii) follows (D) Both (i) and (ii) follow (E) Either (i) or (ii) follows Statements: All men are women. Some women are people. Conclusions: i) Some men are people. ii) Some women are men. 
Q3.Statements: All oaks are banyans. Some banyans are palms. No palm is tree. Conclusions: I) Some oaks are palms. II) No oak is tree.
Q4.Statements: All balls are Balloons. All Bats are balls. Conclusions: I) All Bats are Balloons. II) All Balloons are balls.
Q5.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.
Q6.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 doors are walls. All walls are floors. Conclusions: (I) All floors are walls. (II) Some floors are doors.
Q7.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 conclusions logically follow(s) from the statements. Statements: Some pears are candles. All drillers are candles. Conclusions: (I): Some pears are drillers. (II): All candles are drillers.
Q8.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 bowls are glasses. All glasses are plates. Some bowls are spoons. Conclusions: (I) Some plates are bowls. (II) All glasses are spoons.
Q9.Read the given statements and conclusions carefully. The statements you make are to be believed as true, even if they appear to differ from generally known facts. You are to decide which of the given conclusions logically follows from the given statements. Statement: All tables are chairs. No desks are chairs. All benches are chairs. Conclusions: (I): Some benches are desks. (II): No table is desk.
Q10.After three statements, three conclusions | || and II are given. Assuming that the information given in the statements is correct, even if it appears to differ from commonly known facts, decide which of the given conclusions logically follows from the given statements. Statement: All tin are silver. Some silver are uranium. No silver is iron. Conclusions: (I) Some tin are iron. (II) Some uranium are tin. (III) Some uranium is not iron.
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More Logical Reasoning Questions

Q1.If it is possible to make only one four-letter meaningful word with the first, third, fourth, and eighth letter of the word ‘ABNORMALITY’, which could be the second letter of the word from the left end? If more than one such word can be formed, give ‘X’ as the answer. If no such word can be formed, give ‘Z’ as your answer.
Q2.How many boys are there between Q and T?
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Q4.Find the next number in the series. 6, 12, 18, 36, 54, 108, ?
Q5.Find the next number in the series. 24, 36, 60, 84, 132, 156, ?
Q6.Find the odd image out in the given series.
Q7.How many squares are there in the given figure?
Q8.A man starts from point A and walks 5km towards East. He turns right and walks 4km; turns right again and walks 3km. He then takes another right and walks 6km. He walks 6km towards East; turns right and walks 2km and turns left and walks 1km to reach B. How far is A from B?
Q9.Replace the question mark with an option that follows the same logic applied in the first pair. 29 : 18 :: 39 : ?
Q10.A girl is facing North direction. If she turns 59 degrees in clockwise direction and 31 degrees in the same direction, which direction will she face now?
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