Thursday, June 2, 2011

SYLLOGISM


Q. In each question below are three statements followed 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 from commonly known facts and then decide which of the given conclusions logically follows from the three given statements disregarding commonly known facts. Then decide which of the answers (1), (2), (3), (4) and (5) is the correct answer and indicate it on the answer sheet.

Q.1. Statements : All stamps are packets. Some packets are buckets. All buckets are tubes.
        Conclusions : I. Some tubes are stamps. II. Some buckets are stamps.
                                   III. Some tubes are packets.
            (1) None follows                    (2) Only I follows
            (3) Only II follows                 (4) Only III follows
            (5) Only II and III follow


Q.2. Statements : All machines are crowns. All crowns are tablets. Some tablets are bottles.
        Conclusions : I. Some bottles are crowns. II. Some tablets are machines.
                                  III. Some bottles are machines.
          (1) Only I follows             (2) Only II follows      (3) Only III follows
          (4) Only II and III follow (5) None of these

Q.3. Statements : All rooms are hotels. All hotels are buildings. All buildings are mountains.
        Conclusions : I. Some mountains are hotels. II. Some buildings are rooms.
                                  Ill. Some mountains are rooms. .
           (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

Q.4. Statements : Some towns are villages. Some villages are lanes. Some lanes are hamlets.
        Conclusions : I. Some hamlets are villages. II. Some lanes are towns.
                                 III. Some hamlets are towns.
          (1) None follows      (2) Only I follows         (3) Only II follows
          (4) Only III follows (5) Only I and II follow

Q.5. Statements : Some rivers are hills. No hill is taxi. All taxis are buses.
        Conclusions : I. Some buses are rivers. II. Some taxis are rivers. .
                                 III. No bus is river.
         (1) None follows      (2) Only I follows                   (3) Only III follows
         (4) Only II follows   (5) Only either I or III follows

Q.6. Statements : Some doors are windows. Some windows are lamps. All lamps are candles.
        Conclusions : I. Some candles are doors. II. Some candles are windows.
                                 Ill. Some lamps are doors.
            (1) Only I follows           (2) Only II follows   (3) Only III follows
            (4) Only I and II follow  (5) None of these

SOLUTION

Q.1.(4)

In our above least Touching Diagram, Some tubes are stamps & Some buckets are steps are not present&here disproved automatically,ButSome tubes are packets present & we are unable to disprove it.

Q.2.(2)

In our above least touching diagram Some bottles are crowns & Some bottles are machines are not clearly depicted &hence disproved it. Therefore some tablets are machines are true.


Q.3.(4)

Some mountains are hotels, Some buildings are rooms & some mountains are rooms are fell shown in our diagram. We are unable to disprove it. Therefore all I,II & III are correct.


Q.4.(1) 

Some hamlets are villages, Some lanes are towns & Some hamlets are towns are not shown in our above least touching diagram&hence disprove spontaneously. Therefore our Answer is None fellows.


Q.5.(5)

Some taxis are rivers are not showing anywhere in our diagram & hence it is false. But, In case of some buses are rivers &  No bus is rivers, we find either or case. Because when we disprove no buses is river with the help of some then there is a need to disprove some buses are rivers & Vice- versa

Q.6.(2)

Some candles are doors & some lamps are doors not shown in our diagram & hence both are false. But some candles are windows fully depicted in our above least touching diagram, we are unable to disprove it by any means.