Question

A test consists of true/false questions. Four marks are awarded for every correct answer while 1/2 mark is deducted for every wrong answer. A student knew answers to some of the questions. Rest of the questions he attempted by guessing. He answered 100 questions and got 130 marks.

i) If answer to all questions he attempted by guessing were wrong, then how many questions did he answer correctly.
a)30. b)40. c)50. d)60.

ii) If answer to all questions he attempted by guessing were wrong, then how many questions did he answer incorrectly.
a)30. b)40. c)50. d)60.

iii)If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got.
a)300. b) 315. c)100. d)310.

iv)If answer to all questions he attempted by guessing were wrong, then how many questions he answered correctly to score 13 marks.
a)11. b)12. c)13. d)14​

Answer 1

Answer:

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Answer 2

Answer:

i) X*4-(100-x) 0.5=130

4x-50+0.5=130

4.5x=180

X=40

ii) 100-x=100-40=60

iii)80*4-20*0.5=310