Row positions – Fifteen children face north. Ravi sits immediately to the left of Prabha and is 8th from the left end. Arjun is 2nd from the right end. Which statement is not true?
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APrabha is 7th from right end.
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BThere are four children between Prabha and Arjun.
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CThere are five children between Ravi and Arjun.
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DArjun is 13th from the left end.
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ENone of these
Answer
Correct Answer: Arjun is 13th from the left end.
Explanation
Introduction / Context:We combine fixed positions (8th from left; 2nd from right) with adjacency to test spatial reasoning in a linear arrangement.
Given Data / Assumptions:
- Total = 15 seats, facing north.
- Ravi is 8th from left.
- Ravi is immediately left of Prabha ⇒ Prabha is 9th from left.
- Arjun is 2nd from right ⇒ 14th from left.
Concept / Approach:Translate all clues into absolute positions from the left. Then evaluate each statement against these positions.
Step-by-Step Solution:Prabha position = 9 (from left) ⇒ from right = 15 - 9 + 1 = 7 → Statement A is true.Distance between Prabha (9) and Arjun (14) = 14 - 9 - 1 = 4 → Statement B is true.Distance between Ravi (8) and Arjun (14) = 14 - 8 - 1 = 5 → Statement C is true.Arjun from left = 14, not 13 → Statement D is false.
Verification / Alternative check:Right-based positions: Arjun 2nd from right means left index 14 (since 15,14,...). Consistent.
Why Other Options Are Wrong:They are correct statements per computed positions; hence they are not the answer to “not true.”
Common Pitfalls:Off-by-one mistakes when converting right-based ranks to left-based indices; forgetting “immediately left” enforces consecutive seats.
Final Answer:Arjun is 13th from the left end.