LRDI Repetitive Questions in CAT, Approach to Solve Them

LRDI Repetitive Questions in CAT: The LRDI section in CAT exam assesses a candidate's ability to analyse data, identify patterns, and solve complex reasoning problems under a timed condition. This section is considered one of the highly challenging due to its unpredictable nature and diverse question formats. However, with strategic preparation, candidates can excel by achieving a high score.

To excel in LRDI, candidates must focus on practising a variety of complex sets that combine multiple concepts. CAT frequently asks multiple mixed-concept problems to test candidates' ability to analyse details according to a specific scenario.

Most commonly covered topics in the CAT LRDI section are arrangements, tournaments, mathematical reasoning, puzzles, venn diagrams, graphs, etc. Exploring the LRDI repetitive questions and understanding the approach to tackle them is crucial to improve problem-solving skills. 

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LRDI Repetitive Questions in CAT

Here are a few LRDI questions based on the CAT 2024 exam that are frequently asked. Candidates can also explore the respective topics and approach to solve each question:

Question 1: QUIET Tournament Scheduling

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

1. Each team played against a team from the other group in Round 8.

2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.

3. Team 4 played Team 6 in both Round 1 and Round 2.

4. Team 1 played Team 5 ONLY once and that was in Round 2.

5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round. 

6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

Q. How many rounds were there in the tournament?

Q. What is the number of the team that played Team 1 in Round 5?

Q. Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?

Q. What is the number of the team that played Team 1 in Round 7?

Q. What is the number of the team that played Team 6 in Round 3?

Topics Covered: Tournament Scheduling, Logical Deduction, Round-based Analysis

To solve this question, candidates should take the following approach:

• Identify the structure of the groups and matchups.

• Track repeated matchups across specified rounds to build a consistent timeline.

• Use clues such as "each team plays exactly once in each round" and "identical matchups in specific rounds" to fill in the gaps.

• Carefully map teams to their respective groups and find the solution to each question.

Question 2: Candlestick Chart and SPV Analysis

The chart below shows the price data for seven shares – A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.

Q. Daily Share Price Variability (SPV) is defined as (Day's high price - Day's low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

Q. Daily Share Price Variability (SPV) is defined as (Day's high price - Day's low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

Q. Daily loss for a share is defined as (Opening price – Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?

Q. What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares at opening price and sold them at their day's high?

Topics Covered: Data Interpretation, Financial Data Analysis, SPV Calculations

To solve this question, candidates should:

• Understand the candlestick chart's structure, identifying opening, closing, high, and low prices.

• For SPV calculations, apply the given formula carefully to each relevant share.

• Identify bullish (green) and bearish (red) shares to simplify calculations for related questions.

• For percentage gain calculations, use the difference between the opening price and the highest point of bullish stocks.

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Question 3: Gated Area and Path Mapping

The following is a schematic diagram of walkways (indicated by all the straight-lines) and lakes (3 of them, each in the shape of rectangles – shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.

The following additional information about the facilities in the area is known.

1. The only entry/exit point is at C.

2. There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.

3. The post office is located at P and the bank is located at B.

Q. One resident whose house is located at L, needs to visit the post office as well as the bank. What is the minimum distance (in m) he has to walk starting from his residence and returning to his residence after visiting both the post office and the bank?

Q. One person enters the gated area and decides to walk as much as possible before leaving the area without walking along any path more than once and always walking next to one of the lakes. Note that he may cross a point multiple times. How much distance (in m) will he walk within the gated area?

Q. One resident takes a walk within the gated area starting from A and returning to A without going through any point (other than A) more than once. What is the maximum distance (in m) she can walk in this way?

Q. Visitors coming for morning walks are allowed to enter as long as they do not pass by any of the residences and do not cross any point (except C) more than once. What is the maximum distance (in m) that such a visitor can walk within the gated area?

Topics Covered: Path Optimisation, Graph Theory, and Distance Calculation

Here are the approaches candidates should take to solve this question:

• Visualise the area as a graph with nodes and paths.

• For minimum distance problems, apply the shortest path logic.

• For maximum distance calculations, use path-tracing techniques to avoid unnecessary paths while maximising coverage.

• Carefully apply conditions such as restricted points and movement constraints.

Question 4: E-commerce Firm Ratings Analysis

An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day.

The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below.

The following information is known about ratings on Day 3.

1. 100 buyers gave product ratings on Day 3.

2. The modes of the product ratings were 4 and 5.

3. The numbers of buyers giving each product rating are non-zero multiples of 10.

4. The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.

Q. How many buyers gave ratings on Day 1?

Q. What is the daily average rating of Day 3?

Q. What is the median of all ratings given on Day 3?

Q. Which of the following is true about the cumulative average ratings of Day 2 and Day 3?

• The cumulative average of Day 3 increased by less than 5% from Day 2.

• The cumulative average of Day 3 increased by more than 8% from Day 2.

• The cumulative average of Day 3 increased by a percentage between 5% and 8% from Day 2.

• The cumulative average of Day 3 decreased from Day 2.

Topics Covered: Averages, Median, and Percentage Change Calculation

Here are the tips to solve this LRDI set:

• Calculate the number of ratings on Day 1 by reverse-engineering the cumulative average formulas.

• For median and mode identification, organise the given data logically.

• Compute the cumulative average for Day 3 and compare it to Day 2 using the given percentage ranges.

• Identify key patterns like "non-zero multiples of 10" and "equal number of ratings for specific values" to simplify calculations.

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Frequently Covered LRDI Topic Combinations for CAT

The following topic combinations have been commonly covered in previous years’ CAT LRDI section. Practising these combinations helps candidates develop effective strategies for solving complex LRDI sets under time conditions:

• Scheduling + Ranking

• Table + Venn Diagram

• Selection + Distribution

• Mathematical Reasoning + Mean, Median, Mode

• Mathematical Reasoning + Weighted Average

• Reasoning + Routes and Networks

• Bar Graph + Pie Chart 

• Seating Arrangement + Distribution

• Scheduling + Distribution

• Games & Tournaments + Venn Diagram

• Data Interpretation + Mathematical Reasoning

• Scheduling + Routes and Networks

• Data Interpretation + Distribution

• Bar Graph + Bubble Chart/Line Chart

• Reasoning + Ratio & Proportion

• Mathematical Reasoning + Distribution

• Mathematical Reasoning + Mixture and Alligation

• Data Interpretation + Logical Reasoning

Effective Strategies for Solving CAT LRDI Questions

LRDI sets in the CAT exam are often unpredictable, and there’s no universal method that applies to all types of problems. As each set may require a different approach, it is crucial to develop a flexible yet structured problem-solving strategy. Here are some essential steps candidates should follow when attempting LRDI sets:

• Start by carefully reading the entire set along with the related questions. This helps in understanding the overall structure and identifying key details.

• Identify the variables presented in the set. If there are multiple variables that seem complex or confusing, it is recommended to move to another set and attempt once candidates complete the remaining questions in the LRDI section.

• If the set appears manageable, create a structured diagram or table on paper to effectively organize the information.

• Highlight crucial points mentioned in the set. Candidates should note down this information separately to simplify the data arrangement process.

• Fill in the direct information from the question into the structured diagram.

• Analyse the given conditions to understand additional insights or conclusive details.

• If some conditions are unclear or insufficient, read the provided data again to identify missed details.

• Combine the insights with the existing data to find the correct answers.

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