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Question

Five students graduated from a college, not all in the same year, after each has studied for four years. If batchmates Jiten and Anwar were between Ramesh and Prakash but senior to Sam while Ramesh had left the college before Jiten took admission, then it is certain that

The correct answer is
Ramesh was the most senior

Solution Breakdown

We need to determine the graduation order based on the given conditions for five students: Jiten (J), Anwar (A), Ramesh (R), Prakash (P), and Sam (S).

  • Each student studied for four years and graduated in different years, establishing a seniority order.
  • Condition 1: Jiten and Anwar were between Ramesh and Prakash.
  • Condition 2: Jiten and Anwar were senior to Sam ($J > S$ and $A > S$).
  • Condition 3: Ramesh had left the college before Jiten took admission ($R > J$).

Order Deduction

  1. Condition 3 ($R > J$) establishes Ramesh is senior to Jiten.
  2. Condition 1 states Jiten and Anwar are between Ramesh and Prakash. Since $R > J$, Ramesh must be the senior end of this group. Thus, the sequence must be Ramesh ... Jiten/Anwar ... Prakash. This implies $R$ is senior to $J$, $A$, and $P$. ($R > J$, $R > A$, $R > P$). It also implies $J > P$ and $A > P$.
  3. Condition 2 states Jiten and Anwar are senior to Sam ($J > S$, $A > S$).
  4. Combining these facts:
    • Ramesh ($R$) is senior to Jiten ($J$), Anwar ($A$), and Prakash ($P$) (from step 2).
    • Jiten ($J$) and Anwar ($A$) are senior to Sam ($S$) (from step 3).
    Therefore, Ramesh ($R$) is senior to all four other students ($J, A, P, S$). Ramesh is certainly the most senior.
  5. The relative order of Prakash ($P$) and Sam ($S$) is not definitively established. Both are junior to $J$ and $A$. Possible complete orders could be $R > J > A > P > S$ or $R > A > J > S > P$, among others. However, the position of Ramesh as the most senior remains consistent across all valid possibilities.

Evaluating Options

Based on the deduction that Ramesh is the most senior:

  • Option 1: Anwar was the most senior - False.
  • Option 2: Ramesh was the most senior - True.
  • Option 3: Sam was the most junior - Uncertain.
  • Option 4: Prakash was the most junior - Uncertain.

The only statement that is certain is that Ramesh was the most senior.

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Important Questions from Ordering and Ranking (Notes)

  1. Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line ?
  2. Each of P, Q, R, S, T, U and V has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. U has an exam on Friday. Only 2 people have exams between U and R. V has an exam immediately before Q and T has an exam immediately after S. Only 2 people have exams between P and Q. Who has an exam on Sunday?

  3. A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be
  4. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below E. Only one box is kept above D. Only one box is kept between D and B. G is kept immediately above C. F is kept at some place below A. How many boxes are kept below A?
  5. Among five toys in a store, toy V is taller than toy M, but not as tall as toy R. Toy J is taller than toy D, but shorter than toy M. Which toy is the tallest in the store?
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