All Exams Test series for 1 year @ ₹349 only
Question

Five students P, Q, R, S and T scored different marks in an examination. Q scored more marks than at least two students. T scored less marks than S but more than R. S scored less marks than P. Q did not score the highest marks.
Which of the following statements is/are correct ?
Statements :
I. Q holds second position.
II. Q holds third position.
III. Q holds fourth position.

The correct answer is
Either statement I or II is true.

To solve this problem, we need to determine the relative ranking of students P, Q, R, S, and T based on the information provided in the question.

Given information:

  • Q scored more marks than at least two students.
  • T scored less marks than S but more than R.
  • S scored less marks than P.
  • Q did not score the highest marks.

We can analyze this information to arrange the students in order of their marks:

  1. Since Q scored more than at least two students, Q can be in any position except the 1st and last.
  2. From "T scored less than S but more than R," we infer:
    • S > T > R
  3. From "S scored less than P," we infer:
    • P > S
  4. Considering Q did not score the highest, Q can be placed in the 2nd, 3rd, or 4th positions.

Using this information, we can deduce potential rank orders:

  • If Q is in the 2nd position: P > Q > S > T > R
  • If Q is in the 3rd position: P > S > Q > T > R

Both above cases fit the conditions given regarding Q's position, thus allowing Q to be either 2nd or 3rd. Therefore:

  • Statement I: "Q holds the second position" is possible.
  • Statement II: "Q holds the third position" is also possible.
  • Statement III: "Q holds the fourth position" is not possible, as it violates the requirement of Q scoring more marks than at least two other students.

Therefore, the correct answer is: Either statement I or II is true.

Was this answer helpful?

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?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App