Use venn-diagram to check the validity of the following argument :
`S_(1)` : if a man is a bachelor, he is unhappy.
`S_(2)`: If a man is unhappy , he dies young .
S : All bachelors die young.

Use Venn-diagram to examine the validity of the following arguments : (i) S_(1) : Natural numbers are integers S_(2) : x is an integer S: x is a natural number. (ii) S_(1) : Natural numbers are integers. S_(2) : x is an interger. S : x is not a natural number.

use Venn-diagram to find examine the validity of the following arguments : S_(1) : All scholars are absent minded. S_(2) : john is a scholar . S : John is absent minded. (ii) S_(1) : All scholars ar absent-minded. (ii) S_(1) : All scholars are absent- minded. S_(2) : John is not absent minded. S: john is not absent minded.

use Venn-diagram to find examine the validity of the following arguments : S_(1) : All scholars are absent minded. S_(2) : john is a scholar . S : John is absent minded. (ii) S_(1) : All scholars ar absent-minded. (ii) S_(1) : All scholars are absent- minded. S_(2) : John is not absent minded. S: john is not absent minded.

Write the negation of the following statement: All mathematician s are man

Ifp : 'If a man is rich, then he is happy',q: 'If a man is not rich, then he is not happy', r :'If a man is unhappy, then he is nor rich' and s: 'If a man is happy, then he is rich', then pairs of statements having the same meaning (equivalent) are :

In the following items, cach passage consists of six sentences. The first sentence (S_1) and the final scntence (S_6) are given in the beginning. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark accordingly on the Answer Sheet. S_1 : A stag was drinking water at a pool. S_6 : He was thus caught by the hunters. P: He was admiring his shadow in the water. Q: All of a sudden some hunters came to the pool. R: From what he saw, he liked his homs, but he was rather unhappy about his legs. S: His legs helped him in getting away from the hunters. but his horns were caught in a bush. The proper sequence should be