Did Melania Trump have same profession as Olga Kurylenko?
Melania Trump is the first lady of the United States and was previously a model. Olga Kurylenko is a professional actress that also works as a model.
The answer is yes.

Could Palm Beach be held in the palm of your hand?
Palm Beach has a total area of 8.12 square miles. The average palm is around 3 inches in length. There are 63360 inches in a mile.
The answer is no.

Is it impossible for Cheb Mami to win a Pulitzer Prize for musical composition?
The history Pulitzer Prize can be won by any citizen, all other Pulitzer Prize winners must be a US Citizen. Cheb Mami is an Algerian singer. Cheb Mami is a citizen of Algeria.
The answer is yes.

Does James Watson believe that Africans are inferior to Europeans?
James Watson is a geneticist, who believes in his own work. James Watson is quoted as saying that genetic testing "proves" that Africans aren't as smart.
The answer is yes.