Question

A test consists of 200 questions. Each correct answer fetches 2 marks. For each wrong answer half mark is deducted. A candidate who wrote this test attempted all the questions and scored 360 marks. Find the number of questions he correctly answered?Select one:a. 184b. 180c. 176d. 165

Answer 1

Answer:

184 option b

Step-by-step explanation:

LET THE NO OF CORRECT QUESTIONS B =x AND NO OF WRONG QUESTIONS BE REPRESENTED BY =y

by first case

x+y= 200 -------- equation(1)

because the candidate has attempted all the questions

second case

2x-0.5y=360 ------- equation (2)

because the x questions are correct and y are wrong and total Mark's secured is 360

by solving equation 1 and 2

we get

y=16 and x= 184