Question 1:
Statements : Some pots are keys. Some keys are locks. All keys are rings. Conclusions : I. Some pots are locks. II. Some pots are not locks. III. Some pots are rings. IV. Some pots are not rings.
A.
Only either III or IV follow
B.
Only either I or II follows
C.
Only either I or II & III follow
D.
None follow
Answer: _________
Question 2:
Statements : Some actors are singers. All the singers are dancers. Conclusions : I. Some actors are dancers. II. No singer is actor.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 3:
Statements : All the harmoniums are instruments. All the instruments are flutes. Conclusions : I. All the flutes are instruments. II. All the harmoniums are flutes.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 4:
Statements : Some mangoes are yellow. Some tixo are mangoes. Conclusions : I. Some mangoes are green. II. Tixo is a yellow.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 5:
Statements : Some ants are parrots. All the parrots are apples. Conclusions : I. All the apples are parrots. II. Some ants are apples.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 6:
Statements : Some papers are pens. All the pencils are pens. Conclusions : I. Some pens are pencils. II. Some pens are papers.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 7:
Statements : All the actors are girls. All the girls are beautiful. Conclusions : I. All the actors are beautiful. II. Some girls are actors.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 8:
Statements : All the windows are doors. No door is a wall. Conclusions : I. Some windows are walls. II. No wall is a door.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 9:
Statements : All cups are books. All books are shirts. Conclusions : I. Some cups are not shirts. II. Some shirts are cups.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 10:
Statements : Some cows are crows. Some crows are elephants. Conclusions : I. Some cows are elephants. II. All crows are elephants.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 11:
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.
A.
Only (I) and (III)
B.
Only (II) and (IV)
C.
All the four
D.
None of the four
Answer: _________
Question 12:
Statements : All the goats are tigers. All the tigers are lions. Conclusions : I. All the goats are lions. II. All the lions are goats. III. Some lions are goats. IV. Some tigers are goats.
A.
All the four
B.
Only (I), (II) and (III)
C.
Only (I), (III) and (IV)
D.
Only (II), (III) and (IV)
Answer: _________
Question 13:
Statements : All the books are pencils. No pencil is eraser. Conclusions : I. All the pencils are books. II. Some erasers are books. III. No book is eraser. IV. Some books are erasers.
A.
Only (III)
B.
Only (I) and (III)
C.
Only (I) and (II)
D.
Only (II) and (III)
Answer: _________
Question 14:
Statements : All the research scholars are psychologists. Some psychologists are scientists. Conclusions : I. All the research scholars are scientists. II. Some research scholars are scientists. III. Some scientists are psychologists. IV. Some psychologists are research scholars.
A.
Only (III) and (IV)
B.
None of the four
C.
All the four
D.
Only (III)
Answer: _________
Question 15:
Statements : All the locks are keys. All the keys are bats. Some watches are bats. Conclusions : I. Some bats are locks. II. Some watches are keys. III. All the keys are locks.
A.
Only (I) and (II)
B.
Only (I)
C.
Only (II)
D.
Only (I) and (III)
Answer: _________
Question 16:
Statements : Some keys are staplers. Some staplers are stickers. All the stickers are pens. Conclusions : I. Some pens are staplers. II. Some stickers are keys. III. No sticker is key. IV. Some staplers are keys.
A.
Only (I) and (II)
B.
Only (II) and (IV)
C.
Only (II) and (III)
D.
Only (I) and (IV)
Answer: _________
Question 17:
Statements : Some questions are answers. Some answers are writers. All the writers are poets. Conclusions : I. Some writers are answers. II. Some poets are questions. III. All the questions are poets. IV. Some poets are answers.
A.
Only (I) and (II)
B.
Only (I) and (IV)
C.
Only (I) and (III)
D.
Only (II) and (IV)
Answer: _________
Question 18:
Statements : Some envelops are gums. Some gums are seals. Some seals are adhesives. Conclusions : I. Some envelopes are seals. II. Some gums are adhesives. III. Some adhesives are seals. IV. Some adhesives are gums.
A.
Only (III)
B.
Only (I)
C.
Only (II)
D.
Only (IV)
Answer: _________
Question 19:
Statements : All the papers are books. All the bags are books. Some purses are bags. Conclusions : I. Some papers are bags. II. Some books are papers. III. Some books are purses.
A.
Only (I)
B.
Only (II) and (III)
C.
Only (I) and (II)
D.
Only (I) and (III)
Answer: _________
Question 20:
Statements : Some rats are cats. Some cats are dogs. No dog is cow. Conclusions : I. No cow is cat. II. No dog is rat. III. Some cats are rats.
A.
Only (I)
B.
Only (I) and (Ii)
C.
Only (I) and (III)
D.
Only (II) and (III)
Answer: _________
Question 21:
Statement : Some raises are promotions. All promotions are hikes All hikes are advance Conclusion : I. Some hikes are raises. II. Some advances are not promotion.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I nor II follows
Answer: _________
Question 22:
Statements : All fans are lamps. Some lamps are birds. Conclusions : I. Some birds are fan. II. All fan being birds is a possibility.
A.
If only (I) conclusion follows
B.
If only (II) conclusion follows
C.
If either conclusion (I) or (II) follows
D.
If neither conclusion (I) nor (II) follows
Answer: _________
Question 23:
Statements : Some pens are pencils. No pencil is sharpener. Conclusions : I. Some pens being sharpeners is a possibility.
II. Some sharpeners are pencils.
A.
If only (I) conclusion follows
B.
If only (II) conclusion follows
C.
If either conclusion (I) or (II) follows
D.
If neither conclusion (I) nor (II) follows
Answer: _________
Question 24:
Statements : Some cats are mouse. Some cows are cat. Conclusions : I. Some cows are mouse.
II. All cows being mouse is a possibility.
A.
If only (I) conclusion follows
B.
If only (II) conclusion follows
C.
If either conclusion (I) or (II) follows
D.
If neither conclusion (I) nor (II) follows
Answer: _________
Question 25:
Statements : All the ties are shirts. Some pants are shirts. Conclusions : I. Some ties are pants.
II. No ties is a pants.
A.
If only (I) conclusion follows
B.
If only (II) conclusion follows
C.
If either conclusion (I) or (II) follows
D.
If neither conclusion (I) nor (II) follows
Answer: _________
Question 26:
Statements : Some dogs are cows. Some cows are cats. Conclusions : I. All dogs being cats is a possibility. II. Some cats are dogs.
A.
If only (I) conclusion follows
B.
If only (II) conclusion follows
C.
If either conclusion (I) or (II) follows
D.
If neither conclusion (I) nor (II) follows
Answer: _________
Question 27:
Statements : No mat is fan. Some fans are cars. All cars are shirts. Conclusions : I. All mats are cars. II. All shirts are cars. III. Some shirts are fans. IV. No shirt is a mat.
A.
Only either II or IV and III follow
B.
Only I and II follow
C.
Only IV follow
D.
Only III follow
Answer: _________
Question 28:
Statements : Some clips are copies. Some copies are magazines. No magazines is a dictionary Conclusions : I. No copies are dictionary. II. Some copies are dictionary. III. Some copies are not dictionary. IV. No clips are magazines.
A.
Only III follows
B.
Only either I or II or III follows
C.
Only I follows
D.
Only either I or II follows
Answer: _________
Question 29:
Statements : All tourists are politicians. Some tourists are leaders. Some politicians are ministers. Conclusions : I. Some leaders are ministers. II. All leaders are politicians. III. Some ministers are not politicians. IV. Some politicians are not tourists.
A.
None follows
B.
All follow
C.
Only I & II follow
D.
Only II & III follow
Answer: _________
Question 30:
Statements : All the pencils are pens. All the pens are inks. Conclusions : I. All the pencils are inks. II. Some inks are pencils.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 31:
Statements : Some dogs are bats. Some bats are cats. Conclusions : I. Some dogs are cats. II. Some cats are dogs.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 32:
Statements : All the trucks are flies. Some scooters are flies. Conclusions : I. All the trucks are scooters. II. Some scooters are trucks.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 33:
Statements : All buildings are chalks. No chalk is toffee. Conclusions : I. No building is toffee II. All chalks are buildings.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 34:
Statements : All cars are cats. All fans are cats. Conclusions : I. All cars are fans. II. Some fans are cars.
A.
Only (I) conclusion follows
B.
Only (II) conclusion follows
C.
Either (I) or (II) follows
D.
Neither (I) nor (II) follows
Answer: _________
Question 35:
Statements : No door is dog. All the dogs are cats. Conclusions : I. No door is cat. II. No cat is door. III. Some cats are dogs. IV. All the cats are dogs.
A.
Only (II) and (IV)
B.
Only (I) and (III)
C.
Only (III) and (IV)
D.
Only (III)
Answer: _________
Question 36:
Statements : All green are blue. All blue are white. Conclusions : I. Some blue are green. II. Some white are green. III. Some green are not white. IV. All white are blue.
A.
Only (I) and (II)
B.
Only (I) and (III)
C.
Only (I) and (IV)
D.
Only (II) and (IV)
Answer: _________
Question 37:
Statements : All men are vertebrates. Some mammals are vertebrates. Conclusions : I. All men are mammals. II. All mammals are men. III. Some vertebrates are mammals. IV. All vertebrates are men.
A.
Only (IV)
B.
Only (II)
C.
Only (III)
D.
Only (I)
Answer: _________
Question 38:
Statements : All the phones are scales. All the scales are calculators. Conclusions : I. All the calculators are scales. II. All the phones are calculators III. All the scales are phones. IV. Some calculators are phones.
A.
Only (I) and (IV)
B.
Only (III) and (IV)
C.
Only (II) and (IV)
D.
Only (I) and (II)
Answer: _________
Question 39:
Statements : Some tables are T.V. Some T.V. are radios. Conclusions : I. Some tables are radios. II. Some radios are tables. III. All the radios are T.V. IV. All the T.V. are tables.
A.
Only (II) and (IV)
B.
Only (I) and (III)
C.
Only (IV)
D.
Only (I) and (IV)
Answer: _________
Question 40:
Statements : All the books are papers. Some papers are journals. Some journals are calendars. Conclusions : I. Some journals are books. II. Some calendars are papers. III. Some books are journals. IV. Some books are calendars.
A.
Only (I)
B.
Only (II)
C.
Only (III)
D.
Only (IV)
Answer: _________
Question 41:
Statements : All the bottles are boxes. All the boxes are bags. Some bags are trays. Conclusions : I. Some bottles are trays. II. Some trays are boxes. III. All the bottles are bags. IV. Some trays are bags.
A.
Only (III) and (IV)
B.
Only (I) and (II)
C.
Only (II) and (III)
D.
Only (I) and (IV)
Answer: _________
Question 42:
Statements : Some cars are jeeps. All the boxes are jeeps. All the pens are cars. Conclusions : I. Some cars are boxes. II. No pen is jeep. III. Some boxes are cars.
A.
None of three
B.
Only (I) and (II)
C.
Only (I) and (III)
D.
Only (II) and (III)
Answer: _________
Question 43:
Statements : Some Poets are poems. No poem is song. Conclusions : I. Some Poems are not songs. II. Some songs are poems.
A.
Only I conclusion follows
B.
Only II conclusion follows
C.
Either I or II follows
D.
Neither I nor II follows
Answer: _________
Question 44:
Statement : All the harmoniums are instruments. All instruments are flutes. Conclusion : I. All the flutes are instruments. II. All the harmoniums are flutes.
A.
Only I conclusion follows.
B.
Only II conclusion follows.
C.
Either I or II follows.
D.
Neither I nor II follows.
Answer: _________
Question 45:
Statement : Some pearls are jewels. Some Jewels are ornaments. Conclusion : I. Some jewels are pearls. II. Some ornaments are jewels.
A.
Only Conclusion I follows.
B.
Only Conclusion II follows.
C.
Either I or II follows.
D.
Neither I nor II follows.
Answer: _________
Question 46:
Statement : Some kings are queens. All the queens are beautiful. Conclusion : I. All the kings are beautiful II. All the queens are kings.
A.
Only I foloows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 47:
Statement : Some papers are pens. All the pencils are pens. Conclusion : I. Some pens are pearls. II. Some pens are papers.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 48:
Statement : Some hens are cows. All the cows are horses. Conclusion : I. Some horses are hens. II. Some hens are horses.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 49:
Statement : Some dogs are bats. Some bats are cats. Conclusion : I. Some dogs are cats. II. Some cats are dogs.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 50:
Statement : All the pencils are pens. All the pens are Inks. Conclusion : I.All the pencils are inks. II. Some inks are pencils.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 51:
Statement : Some cows are crows. Some crows are elephants. Conclusion : I.Some cows are elephants. II. All crows are elephant.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 52:
Statement : All the poets are goats. Some goats are trees. Conclusion : I.Some poets are trees. II. Some trees are goats.
A.
Only I follows
B.
Only II follows
C.
Either I or II follows
D.
Neither I or II follows
Answer: _________
Question 53:
Statements : Some headphones are earphones. All earphones are telephones. No telephones are television. Conclusions : I. No earphones are television. II. Some headphones are not television. III. Some headphones are telephones. IV. Some telephones are not television.
A.
All follow
B.
Only I, II & III follow
C.
Only II, III & IV follow
D.
Only I, III & IV follow
Answer: _________
Answer Key
1:
C
Solution: either conclusion I or II & III follow.
21:
N/A
Solution: Okay, let's break down this syllogism question! First, let's understand what a syllogism is. It's like a logical puzzle where we have some statements that we assume are true, and then we have to figure out if the conclusions are also true based on those statements. Our statements are: * Some raises are promotions. * All promotions are hikes. * All hikes are advances. Now let's look at the conclusions one by one: Conclusion I: Some hikes are raises. Think of it like this: If "All promotions are hikes," and "Some raises are promotions," then it means some of those raises *must* also be hikes. Imagine drawing circles . If the 'raises' circle slightly overlaps the 'promotions' circle, and the 'promotions' circle is completely inside the 'hikes' circle, then part of the 'raises' circle must also be inside the 'hikes' circle. So, this conclusion is TRUE. Conclusion II: Some advances are not promotion. This one is a bit trickier. We know "All hikes are advances" and "All promotions are hikes" so all promotions are advances. this means the entire 'promotion' circle is inside the 'advances' circle. So, is it possible that *some* advances are NOT promotions? . Let's use the circle method again we can say that some of the advances are not promotions because hikes may contain others things except the promotions so this conclusion is TRUE So, Conclusion I is TRUE, and Conclusion II is also TRUE. Therefore, the correct answer is: Option E: Both I and II follows
22:
B
Solution: conclusion II follows.
23:
A
Solution: conclusion I follows.
24:
B
Solution: conclusion II follows.
25:
C
Solution: Given statements: All the ties are shirts. Some pants are shirts. Now, analyzing the conclusions: I. Some ties are pants. → This is not necessarily true as there is no direct relation between ties and pants. II. No tie is a pant. → This is also not necessarily true because there is no information given that explicitly denies a relationship between ties and pants. Since one conclusion states "Some ties are pants" and the other states "No tie is a pant," they form a complementary pair. In syllogisms, if one must be true, the other must be false, which satisfies the condition for the "either-or" case. Thus, the correct answer is Option C: If either conclusion (I) or (II) follows .
26:
A
Solution: conclusion I follows.
27:
D
Solution: In the given statements: Statements : No mat is fan. Some fans are cars. All cars are shirts. Conclusions : I. All mats are cars. - False . There is no direct relationship established between mats and cars in the statements. Hence, conclusion I does not follow. II. All shirts are cars. - True . Since all cars are shirts, this conclusion follows from the given statements. III. Some shirts are fans. - False . There is no direct relationship established between shirts and fans in the statements. Hence, conclusion III does not follow. IV. No shirt is a mat. - True . Since no mat is a fan and some fans are cars, which are shirts, it implies that no shirt is a mat. Therefore, conclusion IV follows. Hence, the correct answer is Option C: Only IV follow .
28:
D
Solution: Correct Answer: Option D: Only either I or II follows Step 1: Understanding the Statements Some clips are copies. → There is some overlap between clips and copies. Some copies are magazines. → Some copies also belong to the category of magazines. No magazine is a dictionary. → This means magazines and dictionaries have no overlap at all. Step 2: Evaluating the Conclusions Conclusion I: "No copies are dictionary." We know some copies are magazines , and magazines are not dictionaries . But we cannot conclude that all copies are not dictionaries. Not necessarily true. Conclusion II: "Some copies are dictionary." There is no evidence in the statements that confirm some copies are dictionaries. Not necessarily true. Conclusion III: "Some copies are not dictionary." This would be true only if we were certain that some copies belong to magazines. However, it is not a universal truth for all cases, and it contradicts Conclusion II. Does not logically follow. Conclusion IV: "No clips are magazines." There is no statement that says clips and magazines are separate categories. Does not follow. Step 3: Applying the Either-Or Rule Conclusion I ("No copies are dictionary") and Conclusion II ("Some copies are dictionary") are complementary statements . In a syllogism, when two complementary statements exist, one must be true, but we cannot determine which one from the given statements . This satisfies the "either-or" rule. Final Answer: Since either Conclusion I or Conclusion II follows , the correct option is: Option D: Only either I or II follows.
29:
A
Solution: None follows.
43:
A
Solution: From the following Statement we have these diagram: From above diagram, we can have a conclusion that only I conclusions follows.
44:
B
Solution: From the following Statement we have these diagram: Only II conclusion follows.
45:
N/A
Solution: From the following Statement we have these diagram: Both I and II follows.
46:
D
Solution: From the following Statement we have these diagram: None of the two follows.
47:
B
Solution: From the following Statement we have these diagram: Only II follows.
48:
N/A
Solution: From the following Statement we have these diagram: Both I and II follows.
49:
D
Solution: From the following Statement we have these diagram: Neither I or II follows.
50:
N/A
Solution: From the following Statement we have these diagram: Both I and II follows.
51:
D
Solution: From the following Statement we have these diagram: Neither I or II follows.
52:
B
Solution: From the following Statement we have these diagram: Only II follows.
53:
A
Solution: Understanding the Statements: The question gives us three statements about headphones, earphones, telephones, and televisions. Let's break them down: Statement 1: Some headphones are earphones. This means there's an overlap between headphones and earphones
some headphones belong to the group of earphones, but not all. Statement 2: All earphones are telephones. This means every single earphone is also a telephone. Statement 3: No telephones are televisions. This means there is absolutely no overlap between telephones and televisions. They are completely separate. Analyzing the Conclusions: Now let's look at the conclusions and see if they logically follow from the statements above. Conclusion I: No earphones are televisions. This is TRUE. Since all earphones are telephones (Statement 2), and no telephones are televisions (Statement 3), then it follows that no earphones can be televisions. Conclusion II: Some headphones are not televisions. This is TRUE. We know some headphones are earphones (Statement 1), and no earphones are televisions (Conclusion I), so it's certain that at least some headphones are not televisions. Conclusion III: Some headphones are telephones. This is TRUE. Some headphones are earphones (Statement 1), and all earphones are telephones (Statement 2). Therefore, some headphones must also be telephones. Conclusion IV: Some telephones are not televisions. This is TRUE. Statement 3 directly tells us that no telephones are televisions, which means all telephones are *not* televisions. Finding the Correct Answer: Since Conclusions I, II, III, and IV are all true based on the given statements, the correct option is A: All follow .