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 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 Option 1: Only Almonds, and Spinach Option 2: Only Almonds, and Oats Option 3: Only Almonds, Spinach, and Oats Option 4: Only Almonds

Answer: Only Almonds, Spinach, and Oats. Solution: Half of the MDR is: Calcium = 1100/2 = 550 mg Iron = 15/2 = 7.5 mg Protein = 40/2 = 20 g The largest serving count allowed is 7. Test each food at 7 servings. Milk gives 0 mg of iron per serving, so 7 servings still give 0 mg of iron. Fails iron, reject. Spinach with 7 servings: Ca = 7 x 90 = 630 mg, Fe = 7 x 6 = 42 mg, Pr = 7 x 3 = 21 g. All three clear the half MDR. Qualifies. Almonds with 7 servings: Ca = 7 x 210 = 1470 mg, Fe = 7 x 4 = 28 mg, Pr = 7 x 6 = 42 g. All three clear the half MDR. Qualifies. Oats with 7 servings: Ca = 7 x 120 = 840 mg, Fe = 7 x 3 = 21 mg, Pr = 7 x 5 = 35 g. All three clear the half MDR. Qualifies. Rice with 7 servings gives only 7 x 50 = 350 mg of calcium, which is below 550. Reject. The qualifying foods are Almonds, Spinach and Oats.

Data Interpretation

Tabular Data

Easy

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 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

Only Almonds, and Spinach

Only Almonds, and Oats

Only Almonds, Spinach, and Oats

Only Almonds

✅ Correct Option: 3

Half of the MDR is:

Calcium $= \dfrac{1100}{2} = 550$ mg

Iron $= \dfrac{15}{2} = 7.5$ mg

Protein $= \dfrac{40}{2} = 20$ g

The largest serving count allowed is $7$ . Test each food at $7$ servings.

Milk gives $0$ mg of iron per serving, so $7$ servings still give $0$ mg of iron. Fails iron, reject.

Spinach with $7$ servings:

Ca $= 7 \times 90 = 630$ mg, Fe $= 7 \times 6 = 42$ mg, Pr $= 7 \times 3 = 21$ g.

All three clear the half MDR. Qualifies.

Almonds with $7$ servings:

Ca $= 7 \times 210 = 1470$ mg, Fe $= 7 \times 4 = 28$ mg, Pr $= 7 \times 6 = 42$ g.

All three clear the half MDR. Qualifies.

Oats with $7$ servings:

Ca $= 7 \times 120 = 840$ mg, Fe $= 7 \times 3 = 21$ mg, Pr $= 7 \times 5 = 35$ g.

All three clear the half MDR. Qualifies.

Rice with $7$ servings gives only $7 \times 50 = 350$ mg of calcium, which is below $550$ . Reject.

The qualifying foods are Almonds, Spinach and Oats.

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 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

Question 30

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

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

Solution

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