Question

In a competitive examination, one mark is awarded for each correct answer while ½ mark is deducted for every wrong answer. jayanti answered 120 questions and got 90 marks. how many questions did she answer correctly?

Answer 1

Hey there!

In a competitive exam,
Marks awarded for correct answer = 1
Marks awarded for incorrect answers = 1/2

Let the number of correct answer = x
If the total number of answers are N , then Number of incorrect answers = ( N - x)

Marks scored by a Student = x - 1/2 ( N - x)

Given that,

Number of questions Jayanti answered = 120

So, N = 120

Therefore, The marks scored by her = x - 1/2 ( 120 - x)

But According to the question,

Marks scored by her = 90 marks.

Now,

90 = x - 1/2 ( 120 - x)

1/2 ( 120 - x) = x - 90

120 - x = 2x - 180

120 + 180 = 2x + x

300 = 3x

So, x = 100

Number of correct answers = x = 100

Therefore, Jayanthi answered 100 question correctly.

Answer 2

Answer:

Step-by-step explanation: