A student is required to obtain 288 marks to pass an exam. He gets 33% of the maximum marks and fails by 24 marks. The maximum marks areA650B700C800D900
Question
A student is required to obtain 288 marks to pass an exam.
He gets 33% of the maximum marks and fails by 24 marks.
The maximum marks are:
A) 650
B) 700
C) 800
D) 900
Solution
To solve this problem, we need to first understand that the student has scored 33% of the maximum marks but still fell short by 24 marks to pass the exam.
Step 1: We know that the passing marks are 288, and the student fell short by 24 marks. So, the marks obtained by the student are 288 - 24 = 264 marks.
Step 2: These 264 marks are 33% of the maximum marks. We can represent this relationship as a simple equation: 33/100 * Maximum marks = 264.
Step 3: To find the maximum marks, we rearrange the equation to solve for 'Maximum marks'. This gives us Maximum marks = 264 / (33/100) = 800.
So, the maximum marks for the exam are 800 (Option C).
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