Reasoning Practice Syllogism Questions (26 – 09 – 2017)
Directions
(1 – 10): In the question below are given four Statements followed by conclusions.
You have to take the given Statements to be true even if they seem to be at
variance from 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.
1. Statements:
All
stones are diamonds.
No
diamond is ring.
Some
rings are doors.
All
doors are gates.
Conclusions:
I.
Some gates are stones.
II.
Some gates are rings.
III.
No gate is stone.
IV.
Some rings are stones.
a) Only I
follows
b) Only II
follows
c) Only III
follows
d) Only
either I or III follows
e) Only
either I or II and II follows
2. Statements:
Some
chairs are tables.
All
tables are desks.
Some
desks are sofas.
No
sofas are beds.
Conclusions:
I.
Some beds are sofas.
II.
Some sofas are tables.
III.
Some chairs are desks.
IV.
No chair is beds.
a) None
follows
b) Only I
and II follows
c) Only III
follows
d) Only I,
II and III follows
e) None of
these
3. Statements:
All
phones are tablets.
No
tablet is notebook.
Some
notebooks are laptops.
All
laptops are stands.
Conclusions:
I.
At least some stands are tablets.
II.
All notebooks being stands is a possibility.
III.
No phone is notebook.
a) I and II
follow
b) I and
III follow
c) All I,
II and III follow
d) II and
III follow
e) None of
these
4. Statements:
All
doctors are scientists.
Some
doctors are smart.
No
smart is honest.
Conclusions:
I.
At least some doctors being honest is a possibility.
II.
All doctors, if they are smart are also honest.
a) Only
conclusion I follow
b) Only
conclusion II follows
c) Either
conclusion I or conclusion II follows
d) Neither
conclusion I nor conclusion II follows
e) Both
conclusion I and II follow
5. Statements:
Some
toys are soft.
Some
pillows are soft.
No
pillow is a mattress.
Some
mattresses are sheets.
Conclusions:
I.
Some sheets are soft.
II.
Some pillows are toys.
III.
Some mattresses are soft.
IV.
All sheets being pillow is a possibility.
a) Only I
follow
b) Either I
or III follows
c) Only I
and II follow
d) Only III
follow
e) None
follows
6. Statements:
No
TV is a Fridge.
Some
Fridges are Coolers.
All
Coolers are Fans.
No
Fan is a Tubelight.
Conclusions:
I.
Some TVs are Coolers.
II.
Some TVs are not Coolers.
III.
Some Coolers are Tubelights.
IV.
Some Fridges are not Tubelights.
a) None
follows
b) Either I
or III follows
c) Only IV
follows
d) Only II
and III follow
e) All except
III follow
7. Statements:
All
gliders are parachutes.
No
parachute is airplane.
All
airplanes are helicopters.
Conclusions:
I.
No airplane is a glider.
II.
All parachutes being helicopters is a possibility.
III.
Some parachutes are airplanes.
IV.
All gliders being helicopters is a possibility.
a) None
follow
b) Only I
and II follow
c) Only I,
II and IV follow
d) Only I
and III follow
e) All
follow
8. Statements:
All
emails are yahoomail.
No
yahoomail is qqmail.
Some
qqmails are hotmail.
Some
gmails are emails.
Conclusions:
I.
All qqmails being gmail is a possibility.
II.
All gmails being hotmail is a possibility.
III.
No qqmail is email.
a) Only III
follow
b) Only I
and III follow
c) Only II
and III follow
d) All
follow
e) None
follow
9. Statements:
No
ropes are shirts.
Some
pants are shorts.
All
shorts and pants are shirts.
All
skirts are shorts.
Conclusions:
I.
Some skirts are pants.
II.
No pants are ropes.
III.
Some skirts are ropes.
IV.
Some shorts are ropes.
a) All follow
b) None
follow
c) Only II
follow
d) Only III
and IV follow
e) Only I
and III follow
10. Statements:
Some
books are scales.
No
pencils are books.
Some
pages are books.
All
pencils are scales.
Conclusions:
I.
Some pencils are pages.
II.
No pages are scales.
III.
No pencils are pages.
IV.
Some pages are scales.
a) None
follow
b) Either I
or III follow
c) Either
II or IV follow
d) Only I,
II and III follow
e) Both (b)
and (c)
Solutions:
1. E) The least possible Venn diagram for
the given Statements is,
Conclusions:
I.
Some gates are stones → it’s possible but not definite, hence false.
II.
Some gates are rings → it’s clearly true.
III.
No gates is stone → it’s possible but not definite, hence false.
IV.
Some rings are stones → it’s definite no possible, hence false.
Here
conclusion I and III form a complementary pair.
Thus
either conclusion I or III and conclusion II follows.
2. C) The least
possible Venn diagram for the given statements is as follows,
Conclusions:
I.
Some beds are sofas → It’s not possible, hence false.
II.
Some sofas are tables → It’s possible but not definite, hence false.
III.
Some chairs are desks → It’s true.
IV.
No chair is beds → It’s possible but not definite, hence false.
Thus
only conclusion III follows.
3. D) From the
given statements we draw the following least possible Venn diagram:
Conclusions:
I.
At least some stands are tablets → it’s possible but not definite, hence false.
II.
All notebooks being stands is a possibility → possibility is true.
III.
No phone is notebook → clearly true.
Thus
only conclusion II and III follow.
4. A) The least possibility diagram for
the given statements is as follows,
Conclusions:
I.
At least some doctors being honest is a possibility → Possibility is true.
II.
All doctors, if they are smart are also honest → Clearly, doesn’t follow, hence
false.
Hence,
only conclusion I follows.
5. E) The least
possible Venn diagram for the given statements is as follows,
Conclusions:
I.
Some sheets are soft → It’s possible but not definite, hence false.
II.
Some pillows are toys → It’s possible but not definite, hence false.
III.
Some mattresses are soft → It’s possible but not definite, hence false.
IV.
All sheets being pillow is a possibility → It’s not possible as sheets which
are mattresses cannot be pillow, hence false.
Hence
none of the given conclusion follows.
6. C) The least possible Venn diagram for
the given statements is as follows,
Conclusions:
I.
Some TVs are Coolers → It is possible but not definite, hence false.
II.
Some TVs are not Coolers → It’s possible but not definite, hence false.
III.
Some Coolers are Tubelights → It’s false.
IV.
Some Fridges are not Tubelights → Clearly true as some Fridges which are Fans
cannot be Tubelights.
Hence
only conclusion IV follows.
7. C) Consider the following least
possible Venn diagram,
Conclusions:
I.
No airplane is a glider → It’s definite, hence true.
II.
All parachutes being helicopters is a possibility → Possibility is true as
shown below.
III.
Some parachutes are airplanes → It’s not possible, hence false.
IV.
All gliders being helicopters is a possibility → Possibility is true.
Hence
only conclusion I, II and IV follows.
8. D) The least possible Venn diagram for
the given statements is as follows,
Conclusions:
I.
All qqmails being gmail is a possibility → it’s possible, hence true.
II.
All gmails being hotmail is a possibility → it’s possible, hence true.
III.
No qqmail is email → it’s true.
Thus,
only all conclusions I, II and III follow.
9. C) Consider
the following least possible Venn diagram,
Conclusions:
I.
Some skirts are pants → it’s possible but not definite, hence false.
II.
No pants are ropes → true, since all pants are shirts and no shirts are ropes.
III.
Some skirts are ropes → false, since all skirts are shirts and no shirts are
ropes.
IV.
Some shorts are ropes → false, since all shorts are shirts and no shirts are
ropes.
Hence
only conclusion II follows.
10. E) The least possible Venn diagram for
the given statements is as follows,
Conclusions:
I.
Some pencils are pages → It is possible but not definite without direct
relation, hence false.
II.
No pages are scales → It is possible but not definite without direct relation,
hence false.
III.
No pencils are pages → It is possible but not definite without direct relation,
hence false.
IV.
Some pages are scales → It is possible but not definite without direct
relation, hence false.
Here
conclusion I and III form complementary pair and conclusion II and IV form
complementary pair.
Thus
either conclusion I or III and either II or IV follows.
