Given that,

In a class test containing 15 questions, 4 marks are given for every correct answer and (–2) marks are given for every incorrect answer.

Let the number of correct answer = x

Number of incorrect answers = y

Marks obtained by the student = 4(x) - 2y

Case(1) Bharathi attempts all questions.

Number of correct answers = 9

Number of incorrect = 15 - 9 = 6

So, x = 9, y = 6

Total score = 4x - 2y = 4(9) - 2 (6) = 36 - 12 = 24

Case(2) Hema attempts only 5 questions. All are correct.

So, Number of correct answers = 5

Incorrect Answers = 0

x = 5, y = 0

Total score = 4x - 2y = 4(5) - 2 (0) = 4(5)= 20 .

Therefore, Bharathi score is 24 , Hema score is 20 .

15x4=60; 7×-2=14; 60-14=46

Total questions in a class test = 15 questions Marks given for correct answer = 4 marks Marks given for incorrect answer = -2Gurpreet attempts questions = 15Correct answers of Gurpreet = 9 Inncorrest answers of Gurpreet = 15-9= 6Marks given to Gurpreet for correct answers = 9×4=36Marks given to Gurpreet for inncorrect answers= 6×-2= -12

Total score of Gurpreet =36+(-12)=36-12= 24

Therefore Gurpreet scored 24 Marks