# Statement and Conclusions Questions

A) All frustrated people are drug addicts | B) Frustrated people are whimsical |

C) All drug addicts are artists | D) Some artists may be drug addicts |

A) Only 1 follows | B) Only 2 follows |

C) Either 1 or 2 follows | D) Both 1 and 2 follow |

Explanation:

Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, 1 follows.

However, 2 is the converse of the second premise and thus it also holds.

A) Only either 1 or 4 follows | B) Only either 2 or 4 follows |

C) Only 3 and 4 follow | D) Only 3 and either 2 or 4 follows |

Explanation:

Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.

A) None follows | B) Only 1 follows |

C) Only 2 follows | D) Only 1 and 3 follow |

Explanation:

All flowers are toys. Some toys are trees

Since the middle term 'toys' is not distributed even once in the premises,no definite conclusion follows.

Some toys are trees. Some angels are trees

Since both premises are particular,no definite conclusion an be drawn

A) Only 1 follows | B) Only 2 follows |

C) Either 1 or 2 follows | D) Neither 1 nor 2 follows |

Explanation:

Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows

A) if a > b | B) if a < b |

C) if the relationship between a and b cannot be established. | D) if a ≤ b |

Explanation:

I. (a - 3)(a - 4) = 0

=> a = 3, 4

II. (b - 2)(b - 1) = 0

=> b = 1, 2

=> a > b

A) None follows | B) Only 1 follows |

C) Only 2 and 3 follow | D) Only 3 follows |

Explanation:

2 and 3 are the satements involving the extreme terms of the last 2 premises and form a complementary pair. Thus either 2 or 3 follows

A) Only 1 follows | B) Only 2 follows |

C) Only 3 follows | D) Both 1 and 2 follow |

Explanation:

All snakes are trees. Some trees are roads.

Since the middle term is not distributed even once in the premises,so no conclusion follows

Some trees are roads. All roads are mountains

Since one primise is particular,the conclusion must be particularand should'nt contain the middle term. So,it follows that 'Some trees are mountains'. 3 is the converse of this statement and so it holds.

All snakes are trees. Some trees are mountains.

Since the middle term is not distributed even once in the preises, so no definite conclusion follows