Ahmed, Badr, Mariam, Phatima and Sami attend the same school. They each have a favorite subject from Art, Biology, Math, Physical Education and Social Studies. They all write an English test. We know the following:

$1.$ Their favorite subject does not begin with the same letter as their names

$2.$ Badr and the person whose favorite subject is Social Studies have lunch together every day. Badr scored $10$ points more than the other person in the English test.

$3.$ Phatima and Sami both dislike experiments in science class. They both scored $70\%$ in the English test.

$4.$ Mariam is a very talented athlete and is on the track and volleyball teams, and scored $85\%$ in the English test.

$5.$ Sami jokingly says: $$I can$$t draw a straight line with a ruler but I scored $15\%$ more than Ahmed in the English test!$$

Question: Which of the above information is relevant to answer the following questions:

a$.$ What is the score of Sami?

b$.$ What is the score of Ahmad?

c$.$ How many students passed $($remember that the passing grade is $60\%)?$

d$.$ What is the average score of the five students?