If you must visit Taj Mahal, then you go to Agra.

If the triangle is right angled, then the sum of squares of two sides of a triangle is equal to the square of third side.

Let p : 2 + 3 = 5 and q : 8 < 10
Now, \(\sim p\) : 2 + 3 \(\neq \) 5 and \(\sim q\): 8 \(\nless \) 10
Then, the negation of \(p\wedge q\) is 
\(\sim p\wedge q\equiv \sim p\vee \sim q\) : 2 + 3 \(\neq \) 5 or 8 \(\nless \) 10

Let p : Paris is in France.
and q : London is in England.
Now, \(\sim p\) : Paris is not in France
and \(\sim q\) : London is not in England.
So, negative of \(p\wedge q\) is Paris is not in France or London is not in England. \(\left[ \because \sim \left( p\wedge q \right) =\sim p\wedge \sim q \right] \)

Let p : x < y and q : x + 5 < y + 5.
Then, converse of p \(\Rightarrow \) q is q \(\Rightarrow \) p i.e. 'If x + 5 < y + 5, then x < y'.

The statement is of the form "p" is sufficient fo "q" where
p : Tara goes to the Rashtrapati Bhawan
q : She visit New Delhi
which is an equivalent form of "if p, then q", so the equivalent formulation of the given statement is "If Tara goes to the Rashtrapati Bhawan, then She visit New Delhi".

The given statement is of form "q is necessary for p" where
p : Indian team wins a cricket match
q : The selection committee selects an all-rounder
Which is an equivalent form of "if p then q". So the equivalent formulation of the given statement is "If the teams wins a cricket match then selection committee selects an all-rounder ".

Here 'when' means the same as 'if' and so the equivalent formulation of the given statement is "If you sing, then my ears hurt"

The given statement is of the form "p only if q" which is an equivalent form of the statement "if p then q". So the equivalent formulation of the given statement is "If Ramesh eats his dinner, then he will get dessert".

The given statement is of the form "q if p", where
p : Mohan studies hard.
q : He will be a good students.
It is an equivalent form of the statement "if p then q". So the equivalent formulation of the given statement is "if Mohan studies hard, then he will be a good student".
(Here, note that in p, he is replaced by Mohan and in q, Mohan is replaced by he.)