IPMAT Indore 2025 · Quantitative Ability · Question 19

Step 1 — write the mean in terms of max, min and median. For three numbers, the three values are the max, the median and the min. So

\text{Mean}=\frac{\text{Max}+\text{Median}+\text{Min}}{3}

Step 2 — substitute the first condition. We are told \text{Max}+\text{Min}=15. Writing M for the median:

\text{Mean}=\frac{15+M}{3}

Step 3 — use the second condition.

M-\frac{15+M}{3}=2

Multiply through by 3:

3M-\left( 15+M \right)=6 \Rightarrow 2M=21 \Rightarrow M=10.5

Answer: Option 2 — 10.5