Question 55

Logical Reasoning Puzzles Easy

The letters \( P, Q, R, S, T, U \) and \( V \) , not necessarily in that order represent seven consecutive integers from 22 to 33 and $$ U \ is \ as \ much \ less \ than \ Q \ as \ R \ is \ greater \ than \ S \\ $$ $$ V \ is \ greater \ than \ U \\ $$ $$ Q \ is \ the \ middle \ term \\ $$ $$ P \ is \ greater \ than \ S \\ $$ Then the sequence of letters from the lowest value to the highest value is

(A) TVPQRSU
(B) TRSQUPV
(C) TUSQRPV
(D) TVPQSRU
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

Quick Solution

This is a ranking puzzle where we need to place seven letters (P, Q, R, S, T, U, V) in order from lowest to highest value. The most direct way to solve this is to use the clues to test the proposed correct sequence.


1. Setting up the Framework 뼈대

- There are seven items in the sequence. The clue "Q is the middle term" is the most powerful starting point. It immediately places Q in the 4th position out of seven.
- Our sequence from lowest to highest looks like this: ___, ___, ___, Q, ___, ___, ___


2. Verifying the Correct Option

Let's test the sequence from the correct answer, Option C: T U S Q R P V. This proposes that the order from lowest value to highest value is:

T U S Q R P V

Now we check if this specific order satisfies all the rules given in the problem:

  • Rule: "Q is the middle term"Yes, in this seven-letter sequence, Q is the fourth (middle) term. ✔️
  • Rule: "U is as much less than Q as R is greater than S" (Is Q - U = R - S?)
    Let's use their positions (1 to 7) as their values: T=1, U=2, S=3, Q=4, R=5.
    The gap between Q(4) and U(2) is 2.
    The gap between R(5) and S(3) is 2.
    The gaps are equal. Yes. ✔️
  • Rule: "V is greater than U"Yes, in our sequence V is the highest value and U is the second lowest. ✔️
  • Rule: "P is greater than S"Yes, in our sequence P is the second highest value and S is the third lowest. ✔️

Since the sequence T U S Q R P V satisfies all the conditions, it is the correct order.


Final Answer: The sequence of letters from the lowest value to the highest value is TUSQRPV.