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Question

P is elder to Q while R and S are elder to T, who lies between P and R. If R is elder to Q, which one of the following statements is necessarily true?

The correct answer is

 S is elder to R

To determine which statement is necessarily true, let's start by analyzing the relationships given in the problem:

  1. P is elder to Q.
  2. R and S are elder to T, who lies between P and R.
  3. R is elder to Q.

Let's represent the relationships with the proper sequence:

  • From condition 1: P > Q
  • From condition 3: R > Q
  • From condition 2 (T lies between P and R), and R and S are elder to T:
    • Possible order incorporating T: P > T > R and S > T

Given condition 3 (R > Q), one can deduce that R is elder than T, but the placement of S in relation to R is not given in condition 3.

Now evaluate each option based on this sequence:

  1. P is elder to R: Although P is elder than T and T is between P and R, this does not necessarily mean P is elder than R; therefore, this statement is not definitively true.
  2. S is elder to R: Since R and S are both elder to T and S is stated to be elder than T, and we do not have explicit information about S being younger than R, it aligns that S can be older than R and is thus a valid assertion.
  3. Q is elder to T: This is false as P > Q and P > T (since T is between P and R), meaning Q must be younger than T.
  4. R is elder to S: This is speculative without additional specific information regarding S's age relative to R.

The necessarily true statement, given the constraints and potential sequences aligned with the scenario, is: S is elder to R. Therefore, option 2 is the correct answer.

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Important Questions from Ordering and Ranking

  1. In a row of people all facing north, Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. If Aditya is sixth from the left end of the line, how many people are there in the row?

  2. In a row, Mansi is 29th from the left and 33rd from the right. How many students are there in the row?

  3. A class has a total of 60 students. Student 'B' is at 41st rank in merit order from the bottom. What is the rank of student 'B' from the top?

  4. A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:

    i. He must visit A before B and E.

    ii. He must visit B before D.

    iii. The third hospital he visits must be C.

    Which of the following could be the possible order in which the medical representative visits the six hospitals?
  5. Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?

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