IPMAT Indore 2026 · Quantitative Ability · Question 35

Step 1 — understand the ceiling. Three rolls give a maximum of 6+6+6=18, so “at least 17” means the sum is 17 or 18.

Step 2 — count the favourable outcomes.

Sum 18: only \left( 6,6,6 \right) — 1 way.

Sum 17: the multiset must be \{6,6,5\}, which can be ordered in \frac{3!}{2!}=3 ways — 3 ways.

\text{Total favourable}=1+3=4

Step 3 — divide by the sample space.

P=\frac{4}{216}=\frac{1}{54}

Answer: Option 3 — \frac{1}{54}

Shortcut. Count downward from the maximum, not upward from 17 — only two sums are possible, and each has an obvious shape. The distractor \frac{7}{216} belongs to “at least 16”.