document.write( "Question 769631: In a exam there are 50 question.each correct answer fetches 1 mark whereas for each wrong answer,1/3rd mark was deducted.a student attempted all question and got 10 marks find the no. of question be correctly answerd \n" ); document.write( "
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document.write( "In a exam there are 50 question.each correct answer fetches 1 mark whereas for each wrong answer,1/3rd mark was deducted.a student attempted all question and got 10 marks find the no. of question be correctly answerd\r\n" );
document.write( "Ans:\r\n" );
document.write( "Let the number of correctly answered questions be x\r\n" );
document.write( "Then the number of incorrectly answered questions = (50-x)\r\n" );
document.write( "Marks scored for correct answers = x*1 = x\r\n" );
document.write( "Marks scored for incorrect answers = (50 - x)*(-1/3) = (x - 50)/3\r\n" );
document.write( "Total marks scored is given as 10\r\n" );
document.write( "So,\r\n" );
document.write( "\"x+%2B+%28x+-+50%29%2F3+=+10\"\r\n" );
document.write( "Multiplying by 3 to get rid of the fraction,\r\n" );
document.write( "\"3%2Ax+%2B+x+-+50+=+30\"\r\n" );
document.write( "Simplifying and adding like terms\r\n" );
document.write( "\"4%2Ax+=+80\" or \"x+=+20\"\r\n" );
document.write( "So number of questions correctly answered = 20\r\n" );
document.write( "No. of questions wrongly answered = 50 - 20 = 30\r\n" );
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