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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.

If two servings of Milk are part of the daily diet plan, then the minimum number of servings of any other single item that can satisfy the MDR of all three nutrients is

Solution

✅ Correct Option: 3

Two servings of milk provide:

Calcium=2×300=600\text{Calcium} = 2 \times 300 = 600 mg

Iron=2×0=0\text{Iron} = 2 \times 0 = 0 mg

Protein=2×8=16\text{Protein} = 2 \times 8 = 16 g


The shortfall still to be met is:

Calcium =1100−600=500= 1100 - 600 = 500 mg

Iron =15−0=15= 15 - 0 = 15 mg

Protein =40−16=24= 40 - 16 = 24 g


For each remaining food, divide each shortfall by the per serving amount and round up. The food's serving count is the maximum of the three.


Spinach (Ca =90= 90, Fe =6= 6, Pr =3= 3):

50090≈5.56\dfrac{500}{90} \approx 5.56 rounds up to 66

156=2.5\dfrac{15}{6} = 2.5 rounds up to 33

243=8\dfrac{24}{3} = 8

Spinach needs 88 servings.


Almonds (Ca =210= 210, Fe =4= 4, Pr =6= 6):

500210≈2.38\dfrac{500}{210} \approx 2.38 rounds up to 33

154=3.75\dfrac{15}{4} = 3.75 rounds up to 44

246=4\dfrac{24}{6} = 4

Almonds needs 44 servings.


Oats (Ca =120= 120, Fe =3= 3, Pr =5= 5):

500120≈4.17\dfrac{500}{120} \approx 4.17 rounds up to 55

153=5\dfrac{15}{3} = 5

245=4.8\dfrac{24}{5} = 4.8 rounds up to 55

Oats needs 55 servings.


Rice supplies only 11 mg of iron per serving, so 1515 servings would be needed just for iron.


The smallest count is 44, achieved by Almonds.

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