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 item, Calcium (mg), Iron (mg), Protein (g), Milk, 300, 0, 8, Spinach, 90, 6, 3, Almonds, 210, 4, 6, Oats, 120, 3, 5, Rice, 50, 1, 4, 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. The number of food items that can satisfy at least 15% of the MDR for at least two nutrients in one serving is Option 1: 1 Option 2: 3 Option 3: 2 Option 4: 0

Answer: 2. Solution: 15% of the MDR for each nutrient is: Calcium = 0.15 x 1100 = 165 mg Iron = 0.15 x 15 = 2.25 mg Protein = 0.15 x 40 = 6 g For one serving, a food qualifies if it clears the threshold for at least two of these three nutrients. Milk (300, 0, 8): Ca 300 ≥ 165 yes, Fe 0 Spinach (90, 6, 3): Ca 90 Almonds (210, 4, 6): Ca 210 ≥ 165 yes, Fe 4 ≥ 2.25 yes, Pr 6 ≥ 6 yes. All three. Oats (120, 3, 5): Ca 120 Rice (50, 1, 4): all three are below their thresholds. None. Only Milk and Almonds clear the bar for at least two nutrients, so the answer is 2.

Data Interpretation

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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 item	Calcium (mg)	Iron (mg)	Protein (g)
Milk	300	0	8
Spinach	90	6	3
Almonds	210	4	6
Oats	120	3	5
Rice	50	1	4

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.

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

✅ Correct Option: 3

$15\%$ of the MDR for each nutrient is:

Calcium $= 0.15 \times 1100 = 165$ mg

Iron $= 0.15 \times 15 = 2.25$ mg

Protein $= 0.15 \times 40 = 6$ g

For one serving, a food qualifies if it clears the threshold for at least two of these three nutrients.

Milk ( $300, 0, 8$ ): Ca $300 \geq 165$ yes, Fe $0 < 2.25$ no, Pr $8 \geq 6$ yes. Two nutrients qualify.

Spinach ( $90, 6, 3$ ): Ca $90 < 165$ no, Fe $6 \geq 2.25$ yes, Pr $3 < 6$ no. Only one.

Almonds ( $210, 4, 6$ ): Ca $210 \geq 165$ yes, Fe $4 \geq 2.25$ yes, Pr $6 \geq 6$ yes. All three.

Oats ( $120, 3, 5$ ): Ca $120 < 165$ no, Fe $3 \geq 2.25$ yes, Pr $5 < 6$ no. Only one.

Rice ( $50, 1, 4$ ): all three are below their thresholds. None.

Only Milk and Almonds clear the bar for at least two nutrients, so the answer is $2$ .

Question 26

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

Question 27

The food item(s) that can satisfy at least half of the MDR for all the three nutrients using up to seven servings of that single item alone is

Question 28

If only $x$ servings of Milk and $y$ servings of Rice are included in the diet plan, then the minimum value of $x + y$ that will satisfy the MDR of all three nutrients is

Question 29

When one serving of each of the five items is included in the diet plan, the nutrient with the least percentage of MDR satisfied is

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

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