Answer:
There were a total of 10 questions in the test:
(b) 10
Step-by-step explanation:
Here is how to solve this problem:
- Let's assume the total number of questions in the test is T
- Let's also assume that each question carries 2 marks
- Maximum marks possible = 2T marks
- Candidate only attempted 8 questions and got 50%(1/2) of each question total marks
- Therefore candidate got 1 mark per question for 8 questions for a total of 8 marks and 0 marks for each of the other questions resulting in an exam total of 8 marks
- The overall percentage he obtained
= Total marks received/Total marks possible
= 8 / 2T - This overall percentage is given as 40% or in decimal = 0.40
- Hence
8/2T = 0.4
8 = 2T * 0.4 => cross-multiply
8 = 0.8T ==> simplify right side
T = 8/0.8 ==> switch sides and divide both sides by 0.8
T = 10 ==> simplify
Therefore there were a total of 10 questions on the test
Verify
Let each test score be 10 points
Max possible = 10 * 10 = 100 points
8 questions answered at 50% => 8 questions at 5 points = 40 points
40 points/100 points = 0.40 = 40%