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Question

Five friends took a test. Payal scored more than Komal. Reena scored less than Payal. Simi scored more than Tanu but less than Komal. Who among them scored the highest?

The correct answer is

Payal

Analyzing Test Scores Ranking

This question asks us to determine who scored the highest among five friends based on given conditions about their test scores. We need to carefully analyze each piece of information to establish the relative ranking of the friends' scores.

Understanding the Test Score Conditions

Let's break down the statements provided about the friends' scores:

  • Payal scored more than Komal. We can write this as: Payal > Komal.
  • Reena scored less than Payal. This means: Payal > Reena.
  • Simi scored more than Tanu but less than Komal. This gives us two relationships: Simi > Tanu and Simi < Komal. Combining these, we get: Komal > Simi > Tanu.

Combining the Test Score Relationships

Now, let's combine all the relationships we've identified:

  1. Payal > Komal
  2. Payal > Reena
  3. Komal > Simi
  4. Simi > Tanu

From relationships 1, 3, and 4, we can form a chain: Payal > Komal > Simi > Tanu.

Relationship 2 tells us Payal > Reena. However, the relationships do not specify where Reena stands in comparison to Komal, Simi, or Tanu. Reena could be higher or lower than them, but definitely lower than Payal.

Identifying the Highest Scorer

We are looking for the person with the highest score. Let's examine our combined chain and the separate relationship involving Reena:

  • The chain Payal > Komal > Simi > Tanu clearly shows that Payal has a higher score than Komal, Simi, and Tanu.
  • The separate relationship Payal > Reena shows that Payal also has a higher score than Reena.

Since Payal scored more than Komal, Simi, Tanu, and Reena, Payal must have the highest score among all five friends.

Based on the logical deduction from the given conditions, Payal scored the highest.

Revision Table: Test Score Ranking

Relationship Inequality
Payal scored more than Komal Payal > Komal
Reena scored less than Payal Payal > Reena
Simi scored more than Tanu Simi > Tanu
Simi scored less than Komal Komal > Simi
Combined chain Payal > Komal > Simi > Tanu
Position of Reena Reena < Payal (position relative to others is not fixed)

Additional Information: Logical Deduction and Ranking Puzzles

This question is an example of a ranking or ordering puzzle, which falls under logical reasoning. These puzzles require you to deduce the relative positions or order of items (in this case, people based on test scores) using a series of comparative statements.

Key strategies for solving ranking puzzles include:

  • Translating statements into inequalities or symbolic representations (like >, <).
  • Combining related inequalities to form longer chains or sequences.
  • Identifying items whose positions are not fully determined relative to all others, while still being able to answer the specific question asked (like identifying the highest or lowest).
  • Using a visual aid like drawing a vertical line or list to place items in order as relationships are confirmed.

Solving such puzzles improves analytical thinking and deductive reasoning skills.

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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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