In a class test (+3) marks are given for every correct answer and (-2) marks are given for any incorrect answer.
1. Radhika scored 20 marks.if she has got 12 correct answers ,how many questions has she attempted incorrectly.
2.mohan scored -5 in this test ,though he got 7 correct answers how many questions has she attempted incorrectly?
Answers
Answer:
So, she got 26 marks for the incorrect answer. Now, we know that for every incorrect answer =−2 marks. So, the total marks for incorrect answers = marks for incorrect answer × number of incorrect answers. Hence, the number of incorrect answers is 13.
Step-by-step explanation:
Mark given for the correct answer = 3
mark given to the wrong answer = -2
1. marks scored by Radhika = 20
let , number of questions for which Radhika gave wrong answer be X
marks scored by Radhika = marks obtained on correct answer + mark obtained for wrong answer = 20
marks obtained for correct answer = 12×3 = 36 marks
Mark's obtained for wrong answer = -2X
36 - 2x = 20
2x = 36-20
x = 16/2 = 8
number of questions Radhika attempted incorrectly = 8
2) marks scored by Mohan = -5
let , number of questions for which Mohan gave wrong answer be X
marks scored by Mohan = marks obtained on correct answer + mark obtained for wrong answer = -5
marks obtained for correct answer =7×3=21 marks
Mark's obtained for wrong answer = -2X
21 - 2x = -5
2x = 21+5
2x = 26
x = 13
number of questions Mohan attempted incorrectly = 13