Q.Write the converse, inverse and contrapositive of the following statement: A family becomes literate if the woman in it is literate.

The statement 'A family becomes literate if the woman in it is literate' is a 'q if p' construction, meaning $p\to q$ where $p$: 'the woman in the family is literate' and $q$: 'the family becomes literate' — i.e. 'If the woman in a family is literate then the family becomes literate.'

Converse ($q\to p$): 'If a family becomes literate then the woman in it is literate.'

Inverse ($\sim p\to\sim q$): 'If the woman in a family is not literate then the family does not become literate.' …

The 'q if p' phrasing (rather than the standard 'if p then q') trips students up — they must first correctly identify which clause is p and w …