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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. Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?

  2. In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:

  3. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?

  4. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

  5. Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

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