Syllogism
- Statement:
(a) All girls do not like to marry.
(b) Some girls do not marry.
Assumptions:
I. All girls like to marry.
II. All girls do not marry.
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Assumption II is re-statement of the first statement.
Correct Option: D
None of the assumptions is valid. Assumption II is re-statement of the first statement.
- Statements:
Based on the statements given below select the alternative conclusion which is true according to the given statements.
Conclusions:
I. All students in my class are bright.
II. Sarla is not bright.
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All student of a particular class (without any exception) are bright. And, Sarla is not bright.
Correct Option: B
All student of a particular class (without any exception) are bright. And, Sarla is not bright. Therefore, Sarla cannot be the student of that particular class.
Direction: In each of the question below are Four statements following by Four conclusions numbered I, II, II and IV. You have to take the Four given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follows from the two statements disregarding commonly known fact.
- Statement:
All stones are hammers. No hammer is a ring. Some rings are doors.
All doors are windows.
Conclusions:
I. Some windows are stones.
II. Some windows are rings.
III. No window is a stone.
IV. Some rings are stones.
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Some rings are doors + All doors are windows = I + A = I = Some rings are windows → Conversion → Some windows are rings(I) Hence II follows. All stones are hammers + No hammer is a ring = A + E = E No stones is a ring → conversion → No ring is a stone (E) Hence IV does not follows. No stone is a ring + Some rings are doors = E + I = O* = Some windows are not stones Hence either I or II follows as they form a complementary I-E pair.
Correct Option: E
Some rings are doors + All doors are windows = I + A = I = Some rings are windows → Conversion → Some windows are rings(I) Hence II follows. All stones are hammers + No hammer is a ring = A + E = E No stones is a ring → conversion → No ring is a stone (E) Hence IV does not follows. No stone is a ring + Some rings are doors = E + I = O* = Some windows are not stones Hence either I or II follows as they form a complementary I-E pair.
Direction: In each of the question below are three statements following by three conclusions numbered I, II and III. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follows from the two statements disregarding commonly known fact.
- Statement:
Some radios are telephones. All telephones are mirrors. All mirrors are desks.
Conclusions:
I. Some radios are desks.
II. Some radios are mirrors.
III. Some desks are telephones.
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Some radios are telephones + All telephones are mirrors = I + A = I = Some radios are mirrors Hence II follows Some radios are mirrors + All mirrors are desks = I + A = I = Some radios are desks Hence I follows. All telephones are mirrors + All mirrors are desks = A + A + = All telephones are desks → conversion → Some desks are telephones (I). Hence III follows.
Correct Option: D
Some radios are telephones + All telephones are mirrors = I + A = I = Some radios are mirrors Hence II follows Some radios are mirrors + All mirrors are desks = I + A = I = Some radios are desks Hence I follows. All telephones are mirrors + All mirrors are desks = A + A + = All telephones are desks → conversion → Some desks are telephones (I). Hence III follows.
Direction: In each of the question below are Four statements following by Four conclusions numbered I, II, II and IV. You have to take the Four given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follows from the two statements disregarding commonly known fact.
- Statement:
All papers are clips. Some chips are boards. Some boards are lanes.
All lanes are roads.
Conclusions:
I. Some roads are boards.
II. Some lanes are chips
III. Some boards are papers
IV. Some roads are chips.
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Some boards are lanes + All lanes are roads = I + A = I = Some boards are roads → Conversion → Some roads are boards (I). Hence I follows. Some chips are boards + Some boards are lanes = I + I = No conclusion Hence II and IV does not follow. All papers are clips + Some chips are boards = I + A = No conclusion Hence II and IV does not follow.
Correct Option: E
Some boards are lanes + All lanes are roads = I + A = I = Some boards are roads → Conversion → Some roads are boards (I). Hence I follows. Some chips are boards + Some boards are lanes = I + I = No conclusion Hence II and IV does not follow. All papers are clips + Some chips are boards = I + A = No conclusion Hence II and IV does not follow.
