IPMAT Indore 2026 · Quantitative Ability · Question 40
IPMAT Indore 2026 previous year question on Tables, with the answer and a step-by-step solution.
Set 2: Nutritionist’s diet plan – Calcium, Iron and Protein — this question belongs to a set. Read the full set with all 5 questions →
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.
- A7
- B5
- C4
- D6
Answer & solution
Answer: Option C
Step 1 — what the two milk servings provide.
2\times \left( 300, 0, 8 \right)=\left( 600\text{mg Ca}, 0\text{mg Fe}, 16\text{g protein}\right)
Step 2 — the shortfall against the MDR.
\text{Calcium:}1100-600=500 \text{Iron:}15-0=15 \text{Protein:}40-16=24
Step 3 — for each remaining item, find how many servings k clear all three.
Item | Ca: k\ge 500/\text{Ca} | Fe: k\ge 15/\text{Fe} | Protein: k\ge 24/P | k needed |
|---|---|---|---|---|
Spinach (90,6,3) | 5.56 → 6 | 2.5 → 3 | 8 | 8 |
Almonds (210,4,6) | 2.38 → 3 | 3.75 → 4 | 4 | 4 |
Oats (120,3,5) | 4.17 → 5 | 5 | 4.8 → 5 | 5 |
Rice (50,1,4) | 10 | 15 | 6 | 15 |
Each item needs the largest of its three requirements, rounded up.
Step 4 — take the smallest across items. Almonds, with 4 servings.
Answer: Option 3 — 4
Shortcut. Milk contributes no iron, so whichever item you choose must supply all 15 mg — that alone rules Rice out. Almonds is the obvious candidate (best iron-per-serving among the calcium-rich items), and checking it first gives 4 immediately.
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