List of top Mathematics Questions on Statements asked in JEE Main

The remainder on dividing 5995^{99} by 11 is

(S1)(p⇒q)∨(p∧(∼q))( S 1)(p \Rightarrow q) \vee(p \wedge(\sim q)) is a tautology(S2) ((∼p)⇒(∼q))∧((∼p)∨q)((\sim p) \Rightarrow(\sim q)) \wedge((\sim p) \vee q) is a contradictionThen

If [t][ t ] denotes the greatest integer ≤t\leq t, then the value of 3(e−1)e∫12x2e[x]+[x3]dx\frac{3( e -1)}{ e } \int\limits_1^2 x^2 e^{[x]+\left[x^3\right]} dx is :
The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is :