CA Foundation P3 · Chapter 3 · Question 6 of 8
A student buys x pens at ₹15 each and y notebooks at ₹40 each with a budget of ₹500, and must buy at least 4 notebooks. The maximum number of pens she can buy is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 22
Explanation
Constraints: 15x + 40y ≤ 500, y ≥ 4. Pens are maximised when y takes its minimum value 4, so 15x ≤ 500 − 160 = 340 and x ≤ 22.67. Since x must be a whole number, the maximum is 22 (rounding down). Ignoring the notebook condition gives 500/15 = 33.
More Linear Inequalities MCQs
- Q8The number of integer values of x satisfying both 2x − 3 > 5 and 3x + 1 ≤ 22 is:
- Q1The solution set of the inequality 4x − 7 < 2x + 5 is:
- Q2The solution of −3x + 9 ≥ 0 is:
- Q3Which of the following points lies in the region defined by 2x + 3y ≤ 12, x ≥ 0, y ≥ 0?
- Q4Subject to x + y ≤ 6, x ≤ 4, x ≥ 0, y ≥ 0, the maximum value of Z = 5x + 4y is: