Question

In a competitive examination,one mark is awarded for each correct answer while 1/2 mark is deducted for every wong answer. Jayanti answer correctly.​

Answer 1

Here, as per the provided question. We are asked that, how many answers Jayanti did answer correctly ? So, first of all we will have to do the solution step by step so that we can know an appropriate answer for the given question –

GIVEN :

• Mark awarded for each correct answer = 1
• Mark detected for each wrong answer = ½

TO FIND :

• Number of the questions did Jayanti answer correctly = ?

STEP-BY-STEP EXPLANATION :

Now, we will have to find the number of questions did jayanti answer correctly –

→ considering here the number of answers did Jayanti answer correctly = 'x' and considering here the number of answers did Jayanti answer wrong = 'y'.

→ x + y = 120 (Equation - 1)

→ x = ½y = 90 = 2x + y/2 = 90

→ 2x - y = 180 (Equation - 2)

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→ Adding equation (I) and (ii)

→ x + y = 120

→ 2x-y = 180

→ 3x = 300 [ When reduced ]

→ x = 300/3 = 100

Therefore, Jayanti answered 100 questions correctly.

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