# Reasoning Practice Syllogism Questions (26 – 09 – 2017)

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.