Syllogism Quiz for IBPS PO Pre 2017

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Syllogism Quiz for IBPS PO Pre 2017

Directions (Q. 1-5): In each question, two/three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance with the commonly facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
1. Statements: Some wins are trophies.   Some trophies are cups.  No cup is a prize.  
Conclusions: I. At least some cups are wins.
II. All prizes being trophies is a possibility.
1) Both conclusion I and II are true
2) Only conclusion II is true
3) Only conclusion I is true
4) Either conclusion I or II is true
5) Neither conclusion I nor II is true

2. Statements: No layer is a coat.   All coats are deposits.   All deposits are sheets.
Conclusions: I. All coats are sheets.
II. All deposits can never be layers.
1) Both conclusion I and II are true
2) Only conclusion II is true
3) Neither conclusion I nor II is true
4) Either conclusion I or II is true
5) Only conclusion I is true

3. Statements: Some flats are apartments.   No apartment is a hall.   Some halls are rooms.
Conclusions: I. At least some rooms are flats.
II. No apartment is a room.
1) Both conclusion I and II are true
2) Either conclusion I or II is true
3) Only conclusion II is true
4) Neither conclusion I nor II is true
5) Only conclusion I is true

4. Statements: Some wins are trophies.  Some trophies are cups.  No cup is a prize.
Conclusions: I. No trophy is a prize.
II. No prize is a win.
1) Only conclusion I is true
2) Only conclusion II is true
3) Neither conclusion I nor II is true
4) Both conclusion I and II are true
5) Either conclusion I or II is true

5. Statements: Some codes are secrets.  All secrets are puzzles.  
Conclusions: I. All secrets being codes is a possibility.
II. At least some puzzles are codes.
1) Both conclusion I and II are true
2) Only conclusion II is true
3) Neither conclusion I nor II is true
4) Either conclusion I or II is true
5) Only conclusion I is true

Answers with Explanations:
  1. 1. 2; 
    • Some wins are trophies (I) + Some trophies are cups (I) = I + I = No conclusion. Hence conclusion I does not follow.
    • Again, Some trophies are cups (I) + No cup is a prize (E) = I + E = O = Some trophies are not prizes. But the possibility in II exists. Hence conclusion II follows.
  2. 2. 1; 
    • All coats are deposits (A) + All deposits are sheets (A) = A + A = A = All coats are sheets. Hence conclusion I follows. No layer is a coat (E) + All coats are deposits (A) = E + A = O* = Some deposits are not layers (O*). Hence conclusion II follows.
  3. 3. 4; 
    • No apartment is a hall (E) + Some halls are rooms (I) = E + I = O* = Some rooms are not apartments. Hence conclusion II does not follow. Now, Some flats are apartments (I) + No apartment is a hall (E) = I + E = O = Some flats are not halls (O) + Some halls are rooms (I) = O + I = No conclusion. Hence conclusion I does not follow.
  4. 4. 3; 
    • Some trophies are cups (I) + No cup is a prize (E) = I + E = O = Some trophies are not prizes. Hence conclusion I does not follow.
    • Again, Some wins are trophies (I) + Some trophies are not prizes (O) = I + O = No conclusion. Hence conclusion II does not follow.
  5. 5. 1; 
    • Some codes are secrets (I) → conversion → Some secrets are codes (I). Thus, the possibility in I exists. Hence conclusion I follows.
    • Again, Some codes are secrets (I) + All secrets are puzzles (A) = I + A = I = Some codes are puzzles (I) ) → conversion → Some puzzles are codes. Hence conclusion II follows.
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