A test has 50 questions . A student scores 1 mark for a correct answer, -1/3 for a wrong answer, and-1/6 for not attempting a question .If the net score of a student is 32, the number of questions answered wrongly by that students cannot be less than?

• 3
  
  No. of correct answers = a
  No of wrong answers = b
  No of unattempted questions = c
  Now as per Ques.
  a + b + c = 50 and,
  (a - b*1/3 - c*1/6 =32 ) => 6a -2b - c = 192
  Adding both Equ.
  7a - b = 242 or 7a - 242 = b
  we know that a & b must be positive integers including 0
  least possible no. of b = 3 for b to be +ve where a = 35 (7*35 - 242 = 3 )
  
  
• 11 years agoHelpfull: Yes(33) No(1)