CAT WhatsApp Group
Sign in
Please select an account to continue using cracku.in
↓ →
CAT WhatsApp Group
In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
Correct Answer: 24
Let the number of questions attempted be x+y out of which x are correct and y are incorrect and the number of questions unattempted be z.
It is given,
x + y + z = 75 ...... (1)
3x - y + z = 97 ...... (2)
(2)-(1) -> x - y = 11
(1)+(2) -> 2x + z = 86
z > x + y
z > 75 - z
z > 37.5
Minimum possible value of z is 38
2x + 38 = 86
2x = 48
x = 24
The maximum number of correct answers is 24.
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
Educational materials for CAT preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
