Published : 01 May 2025 12:23 PM
Last Updated : 01 May 2025 12:23 PM
Questions & Answers (Multiple Choice)
கொள்குறி வினா- விடைகள் - முக்கூற்று முடிவு - SYLLOGISM
For easy reference, study the follwing summary.
Statements - Valid Inference
All A are B - Some B are A
Some A are B
No A is B - No B is A
Some A are B - Some B are A
Some A are not B - No inference
Illustrations :
Look at the statements
I. All teachers are students
II. All students are professors.
III. All professors are Males
From I alone we can say
'some students are teachers'
is definitely true.
But 'All students are teachers'
may be true but not definitely.
From I and II, we say
'All teachers are professors' ,
' Some professors are students' and
' Some professors are teachers'
are definitely true. But
' All professors are students' and
'All professors are teachers'
are not definitely true.
From I, II and III, we say
' All teachers are Males' and
From II and III, ' All students are Males' are definitely true.
'Some Males are Professors',
'Some Males are students' and
'Some Males are teachers' are also true.
But 'All Males are Professors',
'All Males are students' and
'All Males are teachers'
are need not be true.
Stt I : All mangoes are fruits.
Stt II : Some fruits are flowers.
Con I : Some fruits are mangoes (T)
Con II : Some flowers are fruits. (T)
Stt 1 : Some mangoes are fruits.
Stt 2 : Some fruits are flowers.
Con 1 : Some fruits are mangoes (T)
Con 2 : Some flowers are fruits. (T)
Con 3 : Some mangoes are flowers (F)
Con 4 : No mango is Flower (F)
Con 5 : No mango is flower
Or
Some mangoes are flowers (T)
Stt 1 : No mango is fruit
Con1 : No fruit is mango (T)
Con2 : Some mangoes are not fruits. (T)
Con3 : Some fruits are not mangoes. (T)
Stt 1 : No boy is student
Stt 2 : No student is teacher
Con 1 : No boy is teacher (F)
Con 2 : Some boys are teachers (F)
But Con 1 or Con 2 follows (T)
Con 3 : No student is a boy (T)
Con 4 : No teacher is a student (T)
Stt : I. Some hens are cats
II. Some cats are tigers.
Con : I. Some cats are hens. (T)
II. Some tigers are cats.(T)
Syllogism Questions & Answers.
Directions 1 - 8 : In each question below are two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and decide which of the given conclusions logically follows from the two given statements disregarding commonly known facts.
Give answer If
a. Only conclusion I follows
b. Only conclusion II follows
c. Either I or II follows
d. Neither I nor II
e. Both I and II
1. Stt : I. All tables are chairs
II. Some chairs are benches.
Con : I. All tables are benches.
II. Some benches are tables.
2. Stt : I. All locks are keys.
II. All keys are doors.
Con : I. All doors are locks.
II. Some doors are keys.
3. Stt : I. All donkeys are horses.
II. No horse is a lion.
Con : I. No donkey is a lion.
II. No lion is a donkey.
4. Stt : I. All pens are books.
II. No book is a pencil.
Con : I. No pen is a pencil.
II. Some books are pens.
5. Stt : I. Some bikes are cars.
II. All cars are buses.
Con : I. No car is a bike.
II. Some bikes are buses.
6. Stt : I. Some cows are white.
II. Some whites are young.
Con : I. No cow is young.
II. Some cows are young.
7. Stt : I. Some pens are cups.
II. Some cups are pencils.
Con : I. Some cups are pens.
II. Some pencils are not cups.
8. Stt : I. All mats are bats.
II. All rats are bats.
Con. I. No rat is mat.
II. Some rats are mats.
Directions 9 - 12 : In each question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and decide which of the given conclusions logically follows from the two given statements disregarding commonly known facts.
9. Stt. : I. Some windows are doors
II. All doors are cots.
Con. : I. All cots are doors.
II. All windows are cots.
III. Some windows are cots
IV. Some doors are windows.
a. Only I and II follow
b. All follow c. None follows
d. Only III and IV follow.
10. Stt. : I. Some tables are doors
II. No door is a window.
Con. : I. No door is a table.
II. No table is a window.
III. Some doors are windows
IV. Some tables are windows.
a. Only I and IV follow
b. Either II or III follow.
c. None follows
d. Either III or IV follow.
11. Stt. : I. All cakes are biscuits
II. Some biscuits are snacks
Con. : I. Some biscuits are cakes
II. Some biscuits are not cakes
III. All cakes are snacks
IV. All snacks are biscuits
a. Only I and II follow
b. All follow c. None follows
d. Only I follows
12. Stt. : I. Some pens are erasers
II. Some erasers are pencils
Con. : I. Some pens are pencils.
II. Some pencils are not pens.
III. No pen is a pencil.
IV. All pencils are pens.
a. Either I or III follow
b. Either I or III follow.
c. None follows
d. Only Either III and IV follow.
13. 'Some books are pens' ,
'Some pens are pencils' and
'All pencils are erasers'. If all the statements are true, which of the following statement is definitely true?
a. Some books are pencils
b. No book is a eraser
c. Some pencils are books
d. Some erasers are pens.
13. All pencils are erasers' =>
Some erasers are pencils.
'Some pens are pencils' =>
'Some pencils are pens'
'All pencils are erasers' and
'Some pencils are pens' =>
'Some erasers are pens'
is definitely true.
14. Stt : I. Some cups are pots
II. Some pots are vessels
III. All vessels are drums
Con : I. Some pots are drums
II. Some cups are vessels
III. No pot is drum
IV. Some cups are drums
a. Only I follows
b. Only I and III follow
c. Only I, II and III follow
d. None follows.
15. Stt : I. All teachers are doctors
II. All doctors are Engineers
III. All Engineers are typists
Con : I. All teachers are Engineers
II. All teachers are typists
III. All doctors are typists
IV. Some typists are teachers
a. Only II follws
b. Only II and III follow
c. only I and II and III follow
d. All follow
Answers
1. d 2. b 3. e 4. e 5. b
6. c 7. a 8. c 9. d. 10. c
11. d 12. b 13. d 14. a 15. d
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