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A test has questions worth 100 marks totals. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
- a)12
- b)15
- c)18
- d)19
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A test has questions worth 100 marks totals. There are two types of qu...
Choice A : 12 [Wrong]
There is no integer x that satisfies below equation
12 * 3 + x * 11 = 100
x = 64/11 [Which is not an integer]
Choice B : 15 [Right]
15 * 3 + x * 11 = 100
x = 55/11 = 5
Choice C : 18 [Wrong]
There is no integer x that satisfies below equation
18 * 3 + x * 11 = 100
x = 46/11 [Which is not an integer]
Choice C : 19 [Wrong]
There is no integer x that satisfies below equation
19 * 3 + x * 11 = 100
x = 43/11 [Which is not an integer]
Most Upvoted Answer
A test has questions worth 100 marks totals. There are two types of qu...
Calculation:
Let's assume the number of multiple choice questions as "x".
The total marks for multiple choice questions = 3x
The total marks for essay questions = 11y (y represents the number of essay questions)
Given:
The total marks for the test = 100
Equation:
3x + 11y = 100
To find the value of "x", we can substitute the possible answer options one by one and check which one satisfies the equation.
Option A:
If there are 12 multiple choice questions, then the total marks for multiple choice questions = 3 * 12 = 36.
Substituting the values in the equation:
3x + 11y = 36 + 11y ≠ 100
Therefore, option A is not the correct answer.
Option B:
If there are 15 multiple choice questions, then the total marks for multiple choice questions = 3 * 15 = 45.
Substituting the values in the equation:
3x + 11y = 45 + 11y ≠ 100
Therefore, option B is not the correct answer.
Option C:
If there are 18 multiple choice questions, then the total marks for multiple choice questions = 3 * 18 = 54.
Substituting the values in the equation:
3x + 11y = 54 + 11y ≠ 100
Therefore, option C is not the correct answer.
Option D:
If there are 19 multiple choice questions, then the total marks for multiple choice questions = 3 * 19 = 57.
Substituting the values in the equation:
3x + 11y = 57 + 11y ≠ 100
Therefore, option D is not the correct answer.
Conclusion:
None of the options except option B satisfies the equation.
Hence, the correct answer is option B, which means there are 15 multiple choice questions in the exam.
Let's assume the number of multiple choice questions as "x".
The total marks for multiple choice questions = 3x
The total marks for essay questions = 11y (y represents the number of essay questions)
Given:
The total marks for the test = 100
Equation:
3x + 11y = 100
To find the value of "x", we can substitute the possible answer options one by one and check which one satisfies the equation.
Option A:
If there are 12 multiple choice questions, then the total marks for multiple choice questions = 3 * 12 = 36.
Substituting the values in the equation:
3x + 11y = 36 + 11y ≠ 100
Therefore, option A is not the correct answer.
Option B:
If there are 15 multiple choice questions, then the total marks for multiple choice questions = 3 * 15 = 45.
Substituting the values in the equation:
3x + 11y = 45 + 11y ≠ 100
Therefore, option B is not the correct answer.
Option C:
If there are 18 multiple choice questions, then the total marks for multiple choice questions = 3 * 18 = 54.
Substituting the values in the equation:
3x + 11y = 54 + 11y ≠ 100
Therefore, option C is not the correct answer.
Option D:
If there are 19 multiple choice questions, then the total marks for multiple choice questions = 3 * 19 = 57.
Substituting the values in the equation:
3x + 11y = 57 + 11y ≠ 100
Therefore, option D is not the correct answer.
Conclusion:
None of the options except option B satisfies the equation.
Hence, the correct answer is option B, which means there are 15 multiple choice questions in the exam.
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Community Answer
A test has questions worth 100 marks totals. There are two types of qu...
It's a trail and error question. there can also be 26 MCQs and 2 essays
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A test has questions worth 100 marks totals. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?a)12b)15c)18d)19Correct answer is option 'B'. Can you explain this answer?
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