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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. The sixth largest three-digit odd number among those with all digits distinct is
  2. A transformation experiment is performed with two Pneumococcal strains. One strain is resistant to four drugs - A, B, C, and D, whereas the other is sensitive to all the drugs. Both strains are mixed and the mixture is plated on media containing various combinations of the drugs. The colonies obtained on these plates are given below:
    Drugs added No. of colonies Drugs added No. of colonies
    A 1156 CD 786
    B 1148 ABC 30
    C 1161 ABD 42
    D 1139 ACD 630
    AB 46 BCD 36
    AC 640 ABCD 30
    AD 942
    BC 51

    Based on the above results, which one of the below options represents the most likely order of the drug-resistance genes?
  3. There are five boys P, Q, R, S and T sitting in a row facing North such that P is right of Q and T is left of R and right of P. Q is right of S. Which boy is in the middle of the row?
  4. 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. Q has an exam on Thursday and U has an exam on Saturday. T has an exam immediately before S. P has an exam on one of the days after V. R has an exam immediately after S. How many people have exams between R and P?

  5. Among five people of different ages, P is older than R. L is younger than M. R is older than Y. M is younger than Y. Who is the youngest?
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