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A nutritionist is designing a daily diet plan of a person using five food items: Milk, Spinach, Almonds, Oats, and Rice. The Minimum Daily Requirement (MDR) of the nutrients Calcium, Iron and Protein should be 1100 mg, 15 mg, and 40 g, respectively. The following table gives nutrient content per serving of each food item:

Food itemCalcium (mg)Iron (mg)Protein (g)
Milk30008
Spinach9063
Almonds21046
Oats12035
Rice5014

Each serving provides a certain percentage of the MDR. For example, one serving of milk satisfies 20% of MDR of Protein. Further, the number of servings of any food item should be a whole number.

Question 43

The number of food items that can satisfy at least 15% of the MDR for at least two nutrients in one serving is

Threshold 15% per nutrient: Calcium $$\geq 165$$ mg, Iron $$\geq 2.25$$ mg, Protein $$\geq 6$$ g.

  • Milk (300, 0, 8): Cal ✓, Iron ✗, Pro ✓ → 2 nutrients ✓
  • Spinach (90, 6, 3): only Iron → 1
  • Almonds (210, 4, 6): all 3 → 3 ✓
  • Oats (120, 3, 5): only Iron → 1
  • Rice (50, 1, 4): 0 → 0

Count of items with $$\geq 2$$ nutrients = 2 (Milk, Almonds).

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