Question

A quiz has 20 questions with seven points awarded for each correct answer, two points
deducted for each wrong answer and zero for each question omitted. Ram scores 87
[AMTI-20051
points. How many questions did he omit?​

Answer 1

Answer:

5

Step-by-step explanation:

The smallest multiple of 7 greater than 87 is 91, representing 91/7 = 13 correct answers. To get a score of 87 with 13 correct answers, the number of wrong answers had to be (91-87)/2 = 4/2 = 2. With 13 correct answers and 2 wrong answers, the number of questions omitted on the 20 question test was 5.

Answer 2

Answer:

Ram answered 17 questions correctly, answered 2 questions incorrectly, and omitted 1 question.

Step-by-step explanation:

Let's assume that Ram answered 'x' questions correctly, 'y' questions incorrectly, and 'z' questions were omitted.

Given that each correct answer is awarded 7 points, and each incorrect answer is deducted 2 points, we can express the score in terms of 'x', 'y', and 'z' as follows:

Score = 7x - 2y

We also know that Ram's total score is 87. Therefore, we can write:

87 = 7x - 2y

Now, we need to find the value of 'z', the number of questions omitted. Since each omitted question is awarded 0 points, we can express Ram's total score in terms of 'z' as follows:

Score = 7x - 2y + 0z

Substituting the value of 'y' from the first equation, we get:

Score = 7x - 2(87 - 7x)/2 + 0z

Simplifying the equation, we get:

Score = 7x - (87 - 7x) + 0z

Score = 14x - 87 + 0z

Since the value of 'z' doesn't affect the score, we can assume that 'z' is the number of questions omitted that we need to find.

Now, we need to find the value of 'x', the number of correct answers. We can solve for 'x' by substituting the value of 'y' from the first equation and simplifying:

87 = 7x - 2y

87 = 7x - 2(20 - z)

87 = 7x - 40 + 2z

127 = 7x + 2z

We know that 'x' and 'z' are non-negative integers, and we need to find the number of questions omitted, which means that 'z' should be as small as possible. We can try different values of 'x' and 'z' that satisfy the above equation and check which one gives the smallest value of 'z':

For x = 17 and z = 1, we get:

127 = 7(17) + 2(1)

127 = 119 + 2

127 = 127

This satisfies the equation, and the value of 'z' is the smallest possible, which means that Ram omitted 1 question.

Therefore, Ram answered 17 questions correctly, answered 2 questions incorrectly, and omitted 1 question.

To learn more about similar question visit:

https://brainly.in/question/40770130?referrer=searchResults

https://brainly.in/question/27772870?referrer=searchResults

#SPJ3