EquationsMCQPYQ Dec 21Question 989 of 221
All Questions

In a multiple choice question paper consisting of $100questionsof\displaystyle questions of1\displaystyle mark each, a candidate gets $60\% marks. If the candidate attempted all questions and there was a penalty of $0.25$ marks for wrong answers is:

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — $32$

All Options:

  • A$32$
  • B$36$
  • C$40$
  • D$38$

Detailed Solution & Explanation

Let the number of correct answers be c\displaystyle c and the number of wrong answers be w\displaystyle w. Since the candidate attempted all $100$ questions: c+w=100  ⟹  c=100−w— (Equation 1)c + w = 100 \implies c = 100 - w \quad — (Equation 1)\displaystyle \text{--- (Equation 1)} The candidate gets $60\%$ marks out of $100$ marks, which is $60$ marks. Each correct answer yields 1\displaystyle 1 mark and each wrong answer carries a penalty of $0.25$ marks. Therefore, we have: 1⋅c−0.25⋅w=60— (Equation 2)1 ⋅\displaystyle \cdot c - 0.25 ⋅\displaystyle \cdot w = 60 \quad — (Equation 2)\displaystyle \text{--- (Equation 2)} Substituting Equation 1 into Equation 2: (100−w)−0.25w=60(100 - w) - 0.25w = 60 100−1.25w=60100 - 1.25w = 60 1.25w=100−601.25w = 100 - 60 1.25w=401.25w = 40 w=401.25=32w = 401.25=32\displaystyle \frac{40}{1.25} = 32 Thus, the number of wrong answers is $32$. Hence, **Option A** is the correct answer.

About This Chapter: Equations

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Linear, Quadratic and Cubic Equations

This chapter covers Linear, Quadratic and Cubic Equations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

More Questions from Equations

Ready to Master Equations?

Practice all 221 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free