Reasoning: Syllogism Questions Set 18

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Direction (1-6): Each option contains some statements. Determine from which statements the given two conclusions follow.

1. Conclusions:
I. All tigers are dogsÂ is a possibility
II. SomeÂ lions are cats.
Statements:
A)Â All dogs are lions. Some cats are dogs. No lionÂ is tiger.
B) SomeÂ dogs are lions. SomeÂ tigers are lions. No cat is tiger.
C) SomeÂ dogs are lions. All cats are lions. No cat is tiger.
D)Â All dogs are lions. All tigersÂ are lions. No cat is tiger.
E) None of these
Option C
Solution:
In C) Reverse the statement:Â All tigersÂ are lions. => Some lions are tigers
All dogs are lions + Some Lions are tiger = All+ Some=> no conclusion between Dogs and tigers but any possibility between Dogs and tiger will be true. So I follows
For II.Â Some cats are tigers.Â All tigersÂ are lions. => Some + All= Some => Some cats are lions => Some lions are cats. So II. is true
2. Conclusions:
I. Some scales are pen.Â
II.Â Some pencils are not erasers.
Statements:
A) Some pens are pencils. All pencils are scales. All scale is eraser.
B)Â Some pens are pencils. All pencils are scales. No pen is eraser.
C)Â All pens are pencils. No pencil is scale. Some scales areÂ erasers.
D) Some pens are pencils. All scales are pencils. Some scales are erasers.
E) None is correct
Â  Option B
Solution:
In B) For I. Â Some pens are pencils. All pencils are scales=> Some + All= Some=> Some pens are scales = Some scales are pen. So I is true
For II. Some pencils are pens + No Pen is eraser=> Some + No= Some Not= Some pencils are not eraser.
3. Conclusions:
I.Â No blue is white
II.Â All white are green is a possibility.
Statements:
A) SomeÂ green are blue. No blue is red. Some white are red.
B)Â All green are blue. No blue is red. All white are red.
C)Â All green are blue. Some blue are red. AllÂ white are red.
D) SomeÂ green are blue. No blue is red. All white are red.
E) None is correct
Option D
Solution:

In D) For I. All white is red+ No red is blue=> All + No= No=> No white is blue=> No blue is white
For II. All white are red+ No red is blue + Some blue are green => (All + No) + Some = No + Some= Some not reversed => Some green are not white. => All white being green is a possibility [When Some A are not B => All B being A is a possibility is true]
4. Conclusions:
I. Some blueÂ are redÂ is a possibility.
II. Some greenÂ are not red.
Statements:
A) SomeÂ green are white. All white are blue. No white is red.
B)Â All green are white. No white isÂ blue. SomeÂ blue are red.
C) SomeÂ green are white. SomeÂ white are blue. All blue are red.
D)Â All green are white. No white is red. All blue areÂ red.
E) None is correct
Â  Option A
Solution:
In A) For I. No red is white+ All white is blue => Some not reversed=>Â Some blue are not red => Some blue are red is a possibility is true
For II. SomeÂ green are white. No white is red. =>Some + No = Some Not = Some green are not red
5. Conclusions:
I. All dollarÂ are rupeeÂ is a possibility.
II. Some poundÂ are not dollar.
Statements:
A) No dollar is yen. All rupee are yen. Some yen are pound.
B) No dollar is yen. SomeÂ yen are rupee. Some rupeeÂ are pound.
C)Â No dollar is yen. All yen are rupee. Some yen are pound.
D)Â All dollar is yen. NoÂ yen isÂ rupee. Some rupeeÂ are pound.
E) None is correct
Â  Option C
Solution:
In C) For I.Â No dollar is yen. All yen are rupee.=> No + All= Some not reversed= Some rupee are not dollar. => All dollar being rupee is a possibility
For II.Â No dollar is yen. +Â Some yen are pound. => No + Some= Some not reversed=> Some pound are not dollar
6. Conclusions:
I. SomeÂ dogs are frogsÂ is a possibility.
II. All cats are frogs is a possibility.
Statements:
A)Â Some cats are dogs. No monkey isÂ dog. AllÂ frogs are monkeys.
B) AllÂ cats are dogs. Some monkeys are cats. No frog is monkey.
C)Â Some cats are monkeys. No dog is monkey. AllÂ frogs are monkeys.
D)Â AllÂ cats are dogs. All monkeys are dogs. No frog is monkey.
E) None is correct
Â  Option D
Solution:
In D) For I.Â No frog is monkey +Â All monkeys are dogs => No + All= some not reversed = Some dogs are not frog.=> Some dogs are frogs is a possibility
For II.Â No frog is monkey. + Â All monkeys are dogs.= No + All = Some not reversed = Some Frog are not dog
AllÂ cats are dogs. Â +Â Some Frog are not dog (ExceptionalÂ Case 2) => Some frogs are not Cat=> All cats are frog is a possibility

Directions (7-10): In each of the questions below, statements are given followed by two conclusions numbered I and II. Read all the conclusions and then decide which of the given conclusions follow from the given statements.

1. Statements: SomeÂ dogs are lions. All cats are lions. No cat is tiger. Some tigers are frogs.
Conclusions:
I.Â NoÂ lion is tiger.
II.Â Some cats are not frogs
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow
Â Option D
Solution:
For I: Reverse of No cat is tiger = No tiger is cat + All cat is lion= No + All Â = Some not reverse= Some lion are not tiger. So I. is false
II.Â No cat is tiger. Some tigers are frogs.=> No + All= Some not reversed = Some frogs are not cats. hence II is false
2. Statements: SomeÂ green are blue. No blue is red. All white are red. Some black are red.
Conclusions:
I.Â All blue are black is a possibility.
II.Â No blue is white.
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow
Â Option E
Solution:Â

For I.Â No blue is red. + Some red are black= No + Some= Some not reversed=> Some black are not blue=> All blue being black is a possibility
For II. All white is red+ No red is blue => All + No = No=> No white is blue= No blue is white
3. Statements: No dollar is yen. All yen are rupee. Some yen are pound. All pound are euro.
Conclusions:
I.Â All euro are yen is a possibility.Â
II.Â No dollar is pound.
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â Option A
Solution:Â
For I.Â Some yen are pound. All pound are euro.=> Some + All= Some => Some yen are euro => All yen are Euro is a possibility is true
For II.Â No dollar is yen. Some yen are pound. =>Â No+ Some= Some not reversed=> Some pound are not dollar. So II. is false
4. Statements: AllÂ cats are dogs. All monkeys are dogs. No frog is monkey. All lions are frogs.
Conclusions:
I.Â No dog is lion
II.Â All cats are lions is a possibilityÂ
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow

Â Option B
Solution:
For I: No frog is monkey+ All monkey are dogs=> No+ All= Some not reversed= Some dogs are not frogs
All lions are frogs. +Â  Some dogs are not frogs (Exceptional Case 2)=> Some dogs are not lion. So II. is false
For II. To get a relation between Cats and Lions: We have to utilize all four statements: OfÂ these four, three start with ALL. means at least one of them has to be reversed.
So we have
AllÂ cats are dogs. + Some dogs are are monkey : No need to go further.. As All+ Some= No conclusion which means that any possibility is true. So B is true
Â

11 Thoughts to “Reasoning: Syllogism Questions Set 18”

1. Sachin Shukla

sir In Qsn 1 .(.D) is too correct..correct me if i m wrong…..?

sir restatement follow krta h but restatement with possibility word follow ni krta,is it right???

1. Suraj

yes!!! but different sources say different thing.. I follow this rule,, so no arguments on this

possibility me either-or follow krega? suraj sir

1. Suraj

no,, in possibility the case of either or is not applicable.. means in possibility, either or will not follow

1. Trisha

Q.2 A also follows..

1. Suraj

yes yes, u r right.. will make appropriate changes

1. Trisha

ok. thanks

4. Sneha Dubey

8/10

5. vidya

mam in revers syllogism how to solve quickly?