Question:
Arjun correctly remembers that the moot court competition is after 12th September but before 22nd September. Naina correctly remembers that the competition is not on a prime-numbered date and is after 15th September. Kabir correctly remembers that the competition is before 20th September and falls on an even date. Riya correctly remembers that the date is a multiple of 3. On which date in September is the moot court competition definitely scheduled?
Arjun correctly remembers that the moot court competition is after 12th September but before 22nd September. Naina correctly remembers that the competition is not on a prime-numbered date and is after 15th September. Kabir correctly remembers that the competition is before 20th September and falls on an even date. Riya correctly remembers that the date is a multiple of 3. On which date in September is the moot court competition definitely scheduled?
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List the possible numbers and cross them out as you read each new condition. This prevents mental overload and ensures you don't miss a constraint.
Updated On: Jun 30, 2026
- 16th September
- 18th September
- 21st September
- Data Inadequate
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The Correct Option is B
Solution and Explanation
Concept:
Logical puzzles involving multiple constraints are solved by the method of elimination.
Step 1: Applying Arjun and Naina's constraints.
Arjun: Between 12 and 22 \(\rightarrow\) {13, 14, , 21} Naina: After 15 and NOT prime \(\rightarrow\) {16, 18, 20, 21} (Primes 17 and 19 are removed).
Step 2: Applying Kabir and Riya's constraints.
Kabir: Before 20 and EVEN \(\rightarrow\) {16, 18} (20 is excluded because it must be "before" 20). Riya: Multiple of 3 \(\rightarrow\) Out of 16, 18, only
18 is a multiple of 3.
Step 3: Final Conclusion.
The only date satisfying every single person's memory is
18th September.
Step 1: Applying Arjun and Naina's constraints.
Arjun: Between 12 and 22 \(\rightarrow\) {13, 14, , 21} Naina: After 15 and NOT prime \(\rightarrow\) {16, 18, 20, 21} (Primes 17 and 19 are removed).
Step 2: Applying Kabir and Riya's constraints.
Kabir: Before 20 and EVEN \(\rightarrow\) {16, 18} (20 is excluded because it must be "before" 20). Riya: Multiple of 3 \(\rightarrow\) Out of 16, 18, only
18 is a multiple of 3.
Step 3: Final Conclusion.
The only date satisfying every single person's memory is
18th September.
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