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Test: Syllogism - 3 - Mechanical Engineering MCQ


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20 Questions MCQ Test General Aptitude for GATE - Test: Syllogism - 3

Test: Syllogism - 3 for Mechanical Engineering 2024 is part of General Aptitude for GATE preparation. The Test: Syllogism - 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Syllogism - 3 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Syllogism - 3 below.
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Test: Syllogism - 3 - Question 1

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

  • (A) If only (1) conclusion follows
  • (B) If only (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.

Question -

Statements: Some ants are parrots. All the parrots are apples.

Conclusions:

  1. All the apples are parrots.
  2. Some ants are apples.

Detailed Solution for Test: Syllogism - 3 - Question 1

Test: Syllogism - 3 - Question 2

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

  • (A) If only (1) conclusion follows
  • (B) If only (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.

Question -

Statements: Some cows are crows. Some crows are elephants.

Conclusions:

  1. Some cows are elephants.
  2. All crows are elephants.

Detailed Solution for Test: Syllogism - 3 - Question 2

Test: Syllogism - 3 - Question 3

Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

  • (A) If only (1) conclusion follows
  • (B) If only (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.

Question -

Statements: All cars are cats. All fans are cats.

Conclusions:

  1. All cars are fans.
  2. Some fans are cars.

Detailed Solution for Test: Syllogism - 3 - Question 3

Test: Syllogism - 3 - Question 4

Directions to Solve

In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. No door is dog.
  2. All the dogs are cats.

Conclusions:

  1. No door is cat.
  2. No cat is door.
  3. Some cats are dogs.
  4. All the cats are dogs.
Detailed Solution for Test: Syllogism - 3 - Question 4

Test: Syllogism - 3 - Question 5

From the given statements, choose the conclusions which follow logically:

Statements:
i.   Some iphones are mobiles
ii.  Some mobiles are ipads
iii. Some ipads are tablets

Conclusions:
I. Some tablets are iphones
II. Some mobiles are tablets
III.Some ipads are iphones
IV.All iphones are tablets

Detailed Solution for Test: Syllogism - 3 - Question 5

Answer: Option D

The statements i, ii and iii can be represented as shown above

From the figure, Set of iphones do not intersect with the set of ipads and the set of tablets, and the set of mobiles do not intersect with the set of tablets.

Consider the conclusions,

From the figure, first three conclusions are not true. In this set, the fourth conclusion cannot be concluded.

Hence, option (d).

Test: Syllogism - 3 - Question 6

Statement 1: All chickens are birds.
Statement 2: Some chickens are hens.
Statement 3: Female birds lay eggs.

If the above statement are facts, then which of the following must also be a fact?
I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.

Detailed Solution for Test: Syllogism - 3 - Question 6

Statements I and II can be represented as venn diagrams in the following ways:

As ‘Female birds lay eggs’, so ‘All birds lay eggs’ is incorrect.

Conclusion ‘Hens are Birds’ may or may not be true as can be seen from the Venn diagrams.

Conclusion ‘Some chickens are not hens’ is also not definitely true as can be seen from the third Venn diagram.

Hence, option (d).

Test: Syllogism - 3 - Question 7

Directions to Solve

In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.

Question -

Statements: All men are vertebrates. Some mammals are vertebrates.

Conclusions:

  1. All men are mammals.
  2. All mammals are men.
  3. Some vertebrates are mammals.
  4. All vertebrates are men.
Detailed Solution for Test: Syllogism - 3 - Question 7

Test: Syllogism - 3 - Question 8

Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4.  You have to consider every given statement as true, even if it does not conform to the accepted facts.  Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.

Statements:

a. All teachers are professors
b. All professors are researchers
c. All researchers are consultants

Conclusions:

1. Some consultants are teachers
2. All professors are consultants
3. Some researchers are teachers
4. All professors are teachers

Detailed Solution for Test: Syllogism - 3 - Question 8

Answer: Option D

All teachers are professors.

This means that either the set of teachers is identical to the set of professors or the set of teachers is a subset of the set of professors.

All professors are researchers.

This means that either the set of researchers is identical to the set of professors or the set of professors is a subset of the set of researchers.

All researchers are consultants.

This means that either the set of researchers is identical to the set of consultants or the set of researchers is a subset of the set of consultants.

Let us analyze the conclusions now

1) Some consultants are teachers
This is true as the set of teachers will atleast be a subset of professors which atleast will be a subset of researchers which will atleast be a subset of consultants.
2) All professors are consultants.
Set of professors will always be atleast a subset of researchers which will always be atleast a subset of consultants.
Hence this statement is also true.
3) Some researchers are teachers.
From the analysis of statement 1, we know that this statement is also true.
4) All professors are teachers.This is untrue because the set of professors is not a subset of teachers.

Test: Syllogism - 3 - Question 9

Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4.  You have to consider every given statement as true, even if it does not conform to the accepted facts.  Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.

Statements:

a. Some boys are scholars
b. Some teachers are boys
c. All scholars are observers

Conclusions:

1. Some scholars are boys
2. Some scholars are not boys
3. Some observers are boys
4. Some teachers are scholars

Detailed Solution for Test: Syllogism - 3 - Question 9
  1. Some scholars are boys:

    • From statement (a), we know that some boys are scholars. This means there is an overlap between boys and scholars.
    • Therefore, this conclusion logically follows.
  2. Some scholars are not boys:

    • Statement (a) says some boys are scholars, but it does not provide information about scholars who are not boys.
    • This conclusion cannot be directly inferred from the statements provided.
  3. Some observers are boys:

    • From statement (c), all scholars are observers. Since some boys are scholars (statement a), those boys who are scholars are also observers.
    • Therefore, some observers are boys. This conclusion logically follows.
  4. Some teachers are scholars:

    • From statement (b), some teachers are boys. From statement (a), some boys are scholars.
    • There is no direct connection between teachers and scholars from the given statements. Therefore, this conclusion does not logically follow from the given information.

Therefore, the correct answer is: 1, and 3 follow

Test: Syllogism - 3 - Question 10

Directions to Solve

In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some tables are T.V.
  2. Some T.V. are radios.

Conclusions:

  1. Some tables are radios.
  2. Some radios are tables.
  3. All the radios are T.V.
  4. All the T.V. are tables.
Detailed Solution for Test: Syllogism - 3 - Question 10

Test: Syllogism - 3 - Question 11

Statement 1: Pictures can tell a story.
Statement 2: All storybooks have pictures.
Statement 3: Some storybooks have words.

If the above statement are facts, then which of the following must also be a fact?
I. Pictures can tell a story better than words can.
II. The stories in storybook are very simple
III. Some storybooks have both words and pictures.

Detailed Solution for Test: Syllogism - 3 - Question 11

Answer: Option C

Since all storybooks have pictures and some storybooks have words, so some storybooks definitely have both words and pictures.

The other two conclusions cannot be derived from the statements.

Hence, option (c).

Test: Syllogism - 3 - Question 12

Directions to Solve

In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some pens are books.
  2. Some books are pencils.

Conclusions:

  1. Some pens are pencils.
  2. Some pencils are pens.
  3. All pencils are pens.
  4. All books are pens.
Detailed Solution for Test: Syllogism - 3 - Question 12

Test: Syllogism - 3 - Question 13

The statement below is followed by three outcomes numbered I, II and II. An outcome is either a step of administrative decision to be undertaken for improvement, or a follow-up for further action, or natural response by stakeholders, etc. on the basis of the information provided in the statement. Everything mentioned in the statement is to be assumed to be true, on the basis of which the most logically followed course of action has to be decided.

Statement:

The city council of Brownwood City has decided to install a plant of mineral water to provide the citizens mineral water bottles at US $ 1 per bottle as against bottles costing US $ 1.5 being sold by local private players.
I. All the local private companies selling bottled water in Brownwood City will have to close their operations.
II. The city council of Brownwood City will have to provide for the losses from this project in its budget.
III. The normal tap water supply of Brownwood City will have no takers and that will have to be discontinued.

Detailed Solution for Test: Syllogism - 3 - Question 13

Answer: Option A

Outcome I does not follow; just because mineral water will be sold at a cheaper rate by the city council, this does not mean that all private companies selling bottled mineral water will close down altogether.
Outcome II does not follow; since their increased sales will probably more than make up for any losses incurred due to lower prices.
Outcome III does not follow; it is ludicrous to assume that people will be willing to do away with normal tap water just because mineral water is being sold at a somewhat reasonable rate.
Hence, the correct answer is option 1.

Test: Syllogism - 3 - Question 14

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements: 

  1. All the locks are keys.
  2. All the keys are bats.
  3. Some watches are bats.

Conclusions:

  1. Some bats are locks.
  2. Some watches are keys.
  3. All the keys are locks.
Detailed Solution for Test: Syllogism - 3 - Question 14

Test: Syllogism - 3 - Question 15

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some keys are staplers.
  2. Some staplers are stickers.
  3. All the stickers are pens.

Conclusions:

  1. Some pens are staplers.
  2. Some stickers are keys.
  3. No sticker is key.
  4. Some staplers are keys.
Detailed Solution for Test: Syllogism - 3 - Question 15

Test: Syllogism - 3 - Question 16

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some questions are answers.
  2. Some answers are writers.
  3. All the writers are poets.

Conclusions:

  1. Some writers are answers.
  2. Some poets are questions.
  3. All the questions are poets.
  4. Some poets are answers.
Detailed Solution for Test: Syllogism - 3 - Question 16

Test: Syllogism - 3 - Question 17

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some envelops are gums.
  2. Some gums are seals.
  3. Some seals are adhesives.

Conclusions:

  1. Some envelopes are seals.
  2. Some gums are adhesives.
  3. Some adhesives are seals.
  4. Some adhesives are gums.
Detailed Solution for Test: Syllogism - 3 - Question 17

Test: Syllogism - 3 - Question 18

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. All the papers are books.
  2. All the bags are books.
  3. Some purses are bags.

Conclusions:

  1. Some papers are bags.
  2. Some books are papers.
  3. Some books are purses.
Detailed Solution for Test: Syllogism - 3 - Question 18



I. Some papers are bags→ it’s false.

II. Some books are papers→ it is definite hence it’s true.

III. Some books are purses → it is definite hence it’s true.

Hence only conclusion II and III follow.

Test: Syllogism - 3 - Question 19

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. Some rats are cats.
  2. Some cats are dogs.
  3. No dog is cow.

Conclusions:

  1. No cow is cat.
  2. No dog is rat.
  3. Some cats are rats.
Detailed Solution for Test: Syllogism - 3 - Question 19

Test: Syllogism - 3 - Question 20

Directions to Solve

In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.

Question -

Statements:

  1. All the books are papers.
  2. Some papers are journals.
  3. Some journals are calendars.

Conclusions:

  1. Some journals are books.
  2. Some calendars are papers.
  3. Some books are journals.
  4. Some books are calendars.
Detailed Solution for Test: Syllogism - 3 - Question 20

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