Logic
Exam Duration: 45 Mins Total Questions : 30
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: All synopses are poets.
B: Some synopses are mentors.
C: Some X are not mentors.
D: All are poets.
E: All synopses are mentors.
F: All synopses are X.
- (a)
ACB
- (b)
AEC
- (c)
FEC
- (d)
DFA
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: All heroines are pretty.
B: Some heroines are popular.
C: Shweta is pretty.
D: Shweta is a popular heroine.
E: Some popular girls are pretty.
- (a)
ABE
- (b)
ACD
- (c)
DCA
- (d)
EDC
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: An ostrich lays eggs.
B: All birds lay eggs.
C: Some birds can fly.
D: An ostrich cannot fly.
E: An ostrich is a bird.
F: An ostrich cannot swim.
- (a)
ABE
- (b)
BEA
- (c)
DEC
- (d)
ECB
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: No patriot is a cariminal
B: Ramdas is not a criminal
C: Ramdas is a patriot
D: Mohandas is not a patriot
E: Mohandas is criminal
- (a)
ABC
- (b)
ACB
- (c)
ABE
- (d)
ADE
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements: All birds are tall. Some tall are hens.
Conclusions:I. Some birds are hens.II.Some hens are tall.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
Since the middle term 'tall' is not distributed even once in the premises, no definite conclusion follows.However, II is converse of the second premise and so it holds.
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements:All artists are smokers. Some smokers are drunkards.
Conclusions:I. All smokers are artists. II. Some drunkards are not smokers.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
Since the middle term 'smokers' is not distributed even once in the premises, no definite conclusion follows.
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: All jugs are heavy.
B: No heavy jugs are cups.
C: Some jugs are cups.
D: Some cups are heavy.
E: No jug is a cup
F: No cup is a jug
- (a)
ABC
- (b)
ABF
- (c)
BEF
- (d)
CDA
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements:Some kings are queens.All queens are beautiful.
Conclusions:I. All kings are beautiful. II. All queens are kings
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
Since one premises is particular, the conclusion must be particular.So,neither I nor II follows.
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 conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:All men are married. Some men are married.
Conclusions:I some married are educated II. Some educated are married.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
Since one premises is particular, the conclusion must be particular and should not contain the middle term.
So,I follows .II is the converse of I and thus it also holds.
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: No spring is a season.
B: Some season are springs.
C: Some season are autumns.
D: No seasons are autumns.
E: Some springs are not autumns.
F: All springs are autumns
- (a)
BEFG
- (b)
CEB
- (c)
DEB
- (d)
DEA
Each question given below consists of five or six statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument containing logically related statements that is, where the third statement is a conclusion drawn from the preceding two statements.
A: Six is five
B: Five is not four.
C: Some five is ten
D: Some six is twelve
E: Some twelve is five
F: Some ten is four
- (a)
ABC
- (b)
ADE
- (c)
AEF
- (d)
EDC
Considered only by themselves which of the following pairs of statements might either both be true or both be false?
I: All P are Q
II: Some P are not Q
III: Some but notall, P are Q
IV: No P is Q
- (a)
I and II
- (b)
II and III
- (c)
I and III
- (d)
I and IV
In each of the following questions, examine the given statements carefully and find out which two of the statements can not be true simultaneously but can both be false
1. All children are inquisitive
2. Some children are inquisitive
3. No children are inquisitive
4. Some children are not inquisitive
- (a)
1 and 3
- (b)
1 and 4
- (c)
2 and 3
- (d)
3 and 4
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements:All young scientists are open-minded.No open-minded men are superstitious.
Conclusions:I. No scientists are superstitious II. No young people are superstitious.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
The subject in the both the conclusions is vague.The true conclusion is "no young scientists is superstitious '.Thus, neither I nor II follows.
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements: Some books are pens. No pen is pencil
Conclusions:I.Some books are pencils II. No book is pencil.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
As discussed above, the conclusion must be universal negative and should not contain the middle term.So, it follows that 'Some books are not pencils'.However, I and II involve only the extreme terms and form a complementary pair.Thus, either I or II follows.
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements:All boys are honest. Sachin is honest
Conclusions:I.Sachin is a boy II. All honest persons are boys
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows.
Both the premises are A type propositions.So the middle term 'honest' forming the predicate in each is not distributed in either.Since the middle term is not distributed even once, no definite conclusion follows.
You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some saints are balls. All balls are bats. Some tigers are balls.
Conclusions: I. Some bats are tigers II. Some saints are bats. III. All bats are balls
- (a)
Only I and II follow
- (b)
Only II follows
- (c)
Only I and III follow
- (d)
Only III follows
- (e)
None of these
Some saints are balls, All balls are bats
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So it follows that 'Some saints are bats'. Thus, II follows.
Some triggers are balls, All balls are bats
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some tigers are bats'. I is the converse of this conclusion and so it holds.
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 conclusion and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements: Raman is always successful.No fool is always successful.
Conclusions:I.Raman is a fool II. Raman is not a fool.
- (a)
if only conclusion I follows;.
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if neither conclusion I nor II follows;
- (e)
if both conclusions I and II follows
Since both the premises are universal and one premise is negative the conclusion must be universal negative and should not contain the middle term. So, only II follows
You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two given statements,disregarding commonly known facts.
Statements:All politicians are honest.All honest are fair.
Conclusions: I.Some honest are politicians II. No honest is politician
III.Some fair are politicians IV. All fair are politicians.
- (a)
None follows
- (b)
Only I follow
- (c)
Only I and II follow
- (d)
Only I and III follow
Clearly, it follows that 'All politicians are fair '.I is the converse of the first premise, while III is the converse of the above conclusion.So, both I and III hold.
You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some pens are books. All schools are books. Some colleges are schools.
Conclusions: I. Some colleges are pens II. Some pens are schools. III. Some colleges are books.
- (a)
Only I and II follow
- (b)
Only II and III follow
- (c)
Only I and III follow
- (d)
All follow
- (e)
None of these
Some pens are books. All schools are books.
Since the middle term 'books' is not distributed even once in the premises, so no definite conclusion follows.
Some colleges are schools. All schools are books.
Since one premise is particular, the conclusion must be particular and should not contain the middle term.
So, it follows that 'Some colleges are books'. Thus, III follows
Some pens are books. Some colleges are books.
Since both the premises are particular, no definite conclusion can be drawn.
Hence, only III follows
You have to take the given statements to be true even if they seen if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements :Some clothes are marbles. Some marbles are bags.
Conclusions:I. No cloth is bag. II.All marbles are bags
III.Some bags are clothes. IV.No marble is a cloth.
- (a)
Only either I or IV follows
- (b)
Only either I or II follows
- (c)
None follows
- (d)
Only either I or III follows
Since both the premises are particular, no definite conclusion follows.However,I and III involve only the extreme terms and form a complemantary pair.Thus,either I or III follows
You have to take the given statements to be true even if they seen if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements :Some tables are TVs.Some TVs are radios.
Conclusions:I Some tables are radios II.Some radios are tables
III.All radios are TVs IV.All TVs are tables
- (a)
None follows
- (b)
All follow
- (c)
Only I and III follow
- (d)
Only II and IV follow
Since both premises are particular, no definite conclusion follows.
You have to take the given statements to be true even if they seen if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements :Some bags are pockets. No pocket is a pouch.
Conclusions:I. No bag is a pouch. II.Some bags are not pouches
III.Some pockets are bags. IV.No pocket is a bag.
- (a)
None follows
- (b)
Only I and III follow
- (c)
Only II and III follow
- (d)
Only either I or IV follows
- (e)
All follow
You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some boxes are hammers. Some hammers are beads. All beads are rings.
Conclusions: I. Some rings are hammers. II. Some hammers are boxes. III. Some rings are boxes
- (a)
None follows
- (b)
Only I follows
- (c)
Only I and III follow
- (d)
Only II and III follow
- (e)
All follow
II is the converse of first premise and so it holds.
Some boxes are hammers. Some hammers are beads.
Since both the premises are particular, no definite conclusion can be drawn.
Some hammers are beads. All beads are rings.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some hammers are rings'. I is the converse of this conclusion and so it holds.
Some boxes are hammers. Some hammers are rings.
Since both the premises are particular, no definite conclusion can be drawn.
You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some pictures are frames. Some frames are idols. All idols are curtains.
Conclusions: I. Some curtains are pictures. II. Some curtains are frames. III. Some idols are frames.
- (a)
Only I and II follow
- (b)
Only II and III follow
- (c)
Only I and III follow
- (d)
All follow
- (e)
None of these
III is the converse of the first premise and so it holds.
Some pictures are famous. Some frames are idols.
Since both the premises are particular, no definite conclusion follows.
Some frames are idols. All idols are curtains.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some frames are curtains'. III is the converse of this conclusion and so it hands.
Some pictures are frames. Some frames are curtains.
Since both the premises are particular, no definite conclusion can be drawn.
Select one alternative in which the third statement is implied by the first two statements.
- (a)
All elephants are wild.All lions are wild.So, all lions are elephants
- (b)
All mangoes are red.Some apples are mangoes.So, all apples are red.
- (c)
All roads are boxes.All foxes are roads.So, all boxes are foxes.
- (d)
All XYZ can run.All ABC are XYZ.So, all ABC can run
Each question given below has a set of three or four statements.Each set of statements is further divided into three segments.Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.A: No S is P. All X is S. No X is P.
A: No S is P. All X is S. No X is P.
B: No S is P. All X is S. All X is P.
C: Some S is not P. Some X is S. Some X is not P.
D:Some S is not P. All X is S. All X is not P.
- (a)
A only
- (b)
B and C
- (c)
C only
- (d)
C and D
You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: All men are parrots. Some parrots are crows. All crows are hens.
Conclusions: I. Some men are hens. II. No man is hen.
- (a)
if only conclusion I follows;
- (b)
if only conclusion II follows;
- (c)
if either conclusion I or II follows;
- (d)
if either conclusion I nor II follows;
- (e)
if both the conclusions I and II follow;
All men are parrots. Some parrots are crows.
Since the middle term 'parrots' is not distributed even once in the premises, no definite conclusion follows.
Some parrots are crows. All crows are hens.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some parrots are hens'
All men are parrots. Some parrots are hens.
Since the middle term 'parrots' is not distributed even once in the premises, no definite conclusion follows. However, I and II are statements involving he extreme terms and form a complementary pair. Hence, either I or II follows.
You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:,All benches are desks. Some desks are roads. All roads are pillars.
Conclusions: I. Some pillars are benches. II. Some pillars are desks. III. Some roads are benches. IV. No pillar is bench.
- (a)
None follows
- (b)
Only either I or IV and III follow
- (c)
Only either I or IV follows
- (d)
Only either I or IV, and II follow
- (e)
All follow
All benches are desks. Some desks are roads.
Since the middle term 'desks' is not distributed even once in the premises, no definite conclusion follows.
Some desks are roads. All roads are pillars.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some desks are pillars'. II is the converse of this conclusion and so it holds.
All benches are desks. Some desks are pillars.
Since the middle term 'desks' is not distributed even once in the premises, no definite conclusion follows. However, I and IV involve the extreme terms and form a complementary pair. So, either I or IV follows.
You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some trains are roads. No road is jungle. All flowers are jungles.
Conclusions: I. Some trains are flowers II. Some trains are jungles III. Some flowers are trains. IV. No road is flower.
- (a)
None follows
- (b)
Only II follows
- (c)
Only III follows
- (d)
Only IV follows
- (e)
All follow
Some trains are roads. No road is jungle.
Since one premise particular and the other negative, the conclusion must particular negative and should not contain the middle term. So, it follows that 'Some trains are not jungles'.
No road is jungle. All flowers are jungles.
Since both the premises are universal and one premise is negative, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No flower is road'. IV is the converse of this conclusion and so it holds.
Some trains are roads. No flower is road.
As discussed above, it follows that 'Some trains are not flowers'.