Question

If Raj scores 27 marks less than the highest scorer and the highest scorer has 2 marks less than the maximum achievable score, then find the score that Raj scored, if the maximum achievable score is 100.

(a) 70

(b) 71

(c) 72

(d) 73

This question was posed to me in an interview.

I would like to ask this question from Solving Linear Equations with Variables on Both the Sides topic in portion Linear Equations in One Variable of Mathematics – Class 8

Answer 1

Correct answer is (b) 71

Easy explanation: The highest scorer scores 2 marks less then maximum achievable score.

Score of highest scorer = Maximum achievable score – 2

∴ Score of highest scorer = 100 -2

∴ Score of highest scorer = 98

Now, Raj’s score can be calculated by,

Raj’s score= Score of highest scorer – 27

∴ Raj’s score = 98 – 27

∴ Raj’s score = 71.