Linear InequalitiesMCQMTP June 24 Series IIIQuestion 6556 of 40
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A manufacturer produces two items A and B. He has ₹10,000‘\displaystyle ₹ 10,000` to invest and a space to store ₹100‘\displaystyle ₹ 100` its ms. A table costs ₹100‘\displaystyle ₹ 100` and a chair ₹40‘\displaystyle ₹ 40`. Express this in the form of linear inequalities.

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option A — x+y≤100,4x+y≤100,x≥0,y≥0\displaystyle x+y \le 100, 4x+y \le 100, x \ge 0, y \ge 0

All Options:

  • Ax+y≤100,4x+y≤100,x≥0,y≥0\displaystyle x+y \le 100, 4x+y \le 100, x \ge 0, y \ge 0 ✓
  • Bx+y≤1000,2x+5y≤1000,x≥0,y≥0\displaystyle x+y \le 1000, 2x+5y \le 1000, x \ge 0, y \ge 0
  • Cx+y≥100,4x+y≤100,x≥0,y≥0\displaystyle x+y \ge 100, 4x+y \le 100, x \ge 0, y \ge 0
  • Dx+y≤100,4x+y≥100,x≥0,y≥0\displaystyle x+y \le 100, 4x+y \ge 100, x \ge 0, y \ge 0

Detailed Solution & Explanation

MTP June 24 Series III

About This Chapter: Linear Inequalities

Paper

Paper 3: Quantitative Aptitude

Weightage

1-3 Marks

Key Topics

Linear Inequalities in one & two variables

This chapter covers Linear Inequalities in one & two variables and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 1-3 Marks weightage. Focus on understanding core concepts rather than memorizing.

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