Syllogism for SBI Clerk Exam

Syllogism for SBI Clerk Exam

Syllogism for SBI Clerk Exam

Directions (Q. 1-5): In each of the questions below is given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with 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 poles.
                                   All poles are desks.
                                   Some desks are nets.
                                   All nets are days.
Conclusions:   I.  Some nets are stones.
II. Some desks are stones.
III. Some days are desks.
        1) Only I and II follow       2) Only I and III follow
        3) Only II and III follow    4) All I, II and III follow
        5) None of these

2. Statements: Some months are weeks.
                                   Some weeks are years.
                                   All years are buses.
                                   All buses are trains.
Conclusions:   I.  Some trains are weeks.
II. Some buses are weeks.
III. Some trains are months.
        1) Only I and II follow       2) Only II and III follow
        3) Only I and III follow      4) All, I, II and III follow
        5) None of these

3. Statements: Some stations are rails.
                                   All rails are rivers.
                                   All rivers are papers.
                                   Some papers are cards.
Conclusions:   I.    Some cards are stations.
II. Some rivers are stations.
III. Some cards are rivers.
        1) None follows                    2) Only I follows
        3) Only II follows                4) Only III follows
        5) Only II and III follow

4. Statements: All windows are roofs.
                                   All roofs are glasses.
                                   Some glasses are plates.
                                   Some plates are carpets.
Conclusions:   I. Some plates are windows.
II. Some glasses are windows.
III. Some carpets are roofs.
        1) None follows                    2) Only I follows
        3) Only II follows                4) Only III follows
        5) Only I and II follow

5. Statements: All trees are jungles.
                                    All jungles are houses.
                                   All houses are buildings.
                                   All buildings are villages.
Conclusions:   I. Some villages are houses.
II. Some buildings are jungles.
III. Some houses are trees.
        1) Only I and II follow       2) Only II and III follow
        3) Only I and III follow      4) All I, II and III follow
        5) None of these

6. Statements: Some books are calendars.
                                   No calendar is a paper.
                                   All papers are pencils.
                                   Some pencils are chairs.
Conclusions:   I. Some chairs are books.
II. No chair is a book.
III. Some pencils are calendars.
        1) None follows
        2) Only either I or II follows             
        3) Only either I or II and III follow
        4) Only III follows
        5) Only II follows

Answers:

  1. 3; All stones are poles + All poles are desks = A + A = A = All stones are desks → conversion → Some desks are stones (I). Hence II follows. All stones are desks + Some desks are nets = A + I = No conclusion. Hence I does not follow. Some desks are nets + All nets are days = I + A = I = Some desks are days → conversion → Some days are desks (I). Hence III follows.
  2. 1; Some weeks are years + All years are buses = I + A = I = Some weeks are buses → conversion → Some buses are weeks (I). Hence II follows. Some weeks are buses + All buses are trains = I + A = I = Some weeks are trains → conversion → Some trains are weeks (I). Hence I follows. Some months are weeks + Some weeks are trains = I + I = No conclusion. Hence III does not follow.
  3. 3; Some stations are rails + All rails are rivers = I + A = I = Some stations are rivers → conversion → Some rivers are stations (I). Hence II follows. All rivers are papers + Some papers are cards = A + I = No conclusion. Hence III does not follow. Neither does I.
  4. 3; All windows are roofs + All roofs are glasses = A + A = A = All windows are glasses → conversion → Some glasses are windows (I). Hence II follows. All windows are glasses + Some glasses are plates = A + I = No conclusion. Hence I does not follow. III also does not follow, as I + I = No conclusion.
  5. 4; All houses are buildings + All buildings are villages = A + A = A = All houses are villages → conversion → Some villages are houses (I). Hence I follows. All jungles are houses + All houses are buildings = A + A = A = All jungles are buildings → conversion → Some buildings are jungles (I). Hence II follows. All trees are jungles + All jungles are houses = A + A = A = All trees are houses → conversion → Some houses are trees (I). Hence III follows.
  6. 2; No calendar is paper + All papers are pencils = E + A = OH= Some pencils are not calendars. Hence III does not follow. Also, OH can’t be combined. Hence I and II do not follow. However, either I or II follows for they make a complementary I-E pair.
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