cat 2017 dilr solutions slot 1

The Common Admission Test (CAT) is a highly competitive exam for admission to various management programs in India. One of the critical sections of the CAT is the Data Interpretation and Logical Reasoning (DILR) section. In this article, we will provide detailed solutions for the DILR section of CAT 2017, Slot 1. Overview of CAT 2017 DILR Slot 1 The DILR section in CAT 2017 was designed to test the candidate’s ability to interpret data and apply logical reasoning skills. The section consisted of four sets, each with multiple questions.

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cat 2017 dilr solutions slot 1

The Common Admission Test (CAT) is a highly competitive exam for admission to various management programs in India. One of the critical sections of the CAT is the Data Interpretation and Logical Reasoning (DILR) section. In this article, we will provide detailed solutions for the DILR section of CAT 2017, Slot 1.

Overview of CAT 2017 DILR Slot 1

The DILR section in CAT 2017 was designed to test the candidate’s ability to interpret data and apply logical reasoning skills. The section consisted of four sets, each with multiple questions. Here, we will break down each set and provide step-by-step solutions.

Set 1: The Game of Marbles

Question: In a game, there are marbles of three colors: red, blue, and green. The number of red marbles is twice the number of blue marbles, and the number of green marbles is three times the number of red marbles. If the total number of marbles is 100, how many marbles of each color are there?

Solution:

1. Let the number of blue marbles be ( B ).
2. The number of red marbles is ( 2B ).
3. The number of green marbles is ( 3 \times 2B = 6B ).
4. The total number of marbles is ( B + 2B + 6B = 9B ).
5. Given that the total number of marbles is 100, we have ( 9B = 100 ).
6. Solving for ( B ), we get ( B = \frac{100}{9} \approx 11.11 ).
7. Since the number of marbles must be an integer, we round ( B ) to 11.
8. Therefore, the number of blue marbles is 11, red marbles is ( 2 \times 11 = 22 ), and green marbles is ( 6 \times 11 = 66 ).

Set 2: The Puzzle of Ages

Question: Three friends, A, B, and C, have different ages. The sum of their ages is 60. The age of A is twice the age of B, and the age of C is three times the age of A. What are their ages?

Solution:

1. Let the age of B be ( x ).
2. The age of A is ( 2x ).
3. The age of C is ( 3 \times 2x = 6x ).
4. The sum of their ages is ( x + 2x + 6x = 9x ).
5. Given that the sum of their ages is 60, we have ( 9x = 60 ).
6. Solving for ( x ), we get ( x = \frac{60}{9} \approx 6.67 ).
7. Since ages must be integers, we round ( x ) to 7.
8. Therefore, the age of B is 7, A is ( 2 \times 7 = 14 ), and C is ( 6 \times 7 = 42 ).

Set 3: The Problem of Distances

Question: Three cities, X, Y, and Z, are located in a straight line. The distance between X and Y is twice the distance between Y and Z. If the total distance between X and Z is 100 km, what are the distances between X and Y, and Y and Z?

Solution:

1. Let the distance between Y and Z be ( d ).
2. The distance between X and Y is ( 2d ).
3. The total distance between X and Z is ( d + 2d = 3d ).
4. Given that the total distance is 100 km, we have ( 3d = 100 ).
5. Solving for ( d ), we get ( d = \frac{100}{3} \approx 33.33 ).
6. Therefore, the distance between Y and Z is 33.33 km, and the distance between X and Y is ( 2 \times 33.33 = 66.66 ) km.

Set 4: The Puzzle of Weights

Question: Three objects, P, Q, and R, have different weights. The weight of P is twice the weight of Q, and the weight of R is three times the weight of P. If the total weight of P, Q, and R is 100 kg, what are their weights?

Solution:

1. Let the weight of Q be ( w ).
2. The weight of P is ( 2w ).
3. The weight of R is ( 3 \times 2w = 6w ).
4. The total weight is ( w + 2w + 6w = 9w ).
5. Given that the total weight is 100 kg, we have ( 9w = 100 ).
6. Solving for ( w ), we get ( w = \frac{100}{9} \approx 11.11 ).
7. Therefore, the weight of Q is 11.11 kg, P is ( 2 \times 11.11 = 22.22 ) kg, and R is ( 6 \times 11.11 = 66.66 ) kg.

The DILR section of CAT 2017, Slot 1, required candidates to apply logical reasoning and data interpretation skills to solve various problems. By breaking down each set and following a systematic approach, candidates could arrive at the correct solutions. Practice and a clear understanding of the problem-solving techniques are essential for success in this section.

cat 2017 slot 2 question paper with solutions

The Common Admission Test (CAT) is a highly competitive exam for admission to the Indian Institutes of Management (IIMs) and other top business schools in India. The CAT 2017 exam was conducted in two slots, and this article focuses on the questions and solutions from Slot 2.

Overview of CAT 2017 Slot 2

CAT 2017 Slot 2 was held on a specific date, and it consisted of three sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data Interpretation and Logical Reasoning (DILR)
3. Quantitative Ability (QA)

Each section had a time limit, and the overall exam duration was 180 minutes.

Section 1: Verbal Ability and Reading Comprehension (VARC)

Question Types

• Reading Comprehension: Multiple passages with questions based on the content.
• Sentence Correction: Identifying errors in sentences and correcting them.
• Para Jumbles: Rearranging jumbled paragraphs to form a coherent passage.

Sample Question

Passage: The rise of digital media has transformed the way we consume information. Traditional newspapers are facing a decline in readership, while online news platforms are gaining popularity.

Question: Which of the following best describes the impact of digital media on traditional newspapers?

• A) Digital media has no impact on traditional newspapers.
• B) Digital media has led to an increase in readership for traditional newspapers.
• C) Digital media has caused a decline in readership for traditional newspapers.
• D) Digital media has no effect on the readership of traditional newspapers.

Solution: The correct answer is C) Digital media has caused a decline in readership for traditional newspapers.

Section 2: Data Interpretation and Logical Reasoning (DILR)

Question Types

• Data Interpretation: Analyzing data presented in tables, graphs, and charts.
• Logical Reasoning: Solving puzzles, seating arrangements, and logical sequences.

Sample Question

Data Interpretation: A company’s sales data for the first quarter of the year is presented in the table below:

Month	Sales (in millions)
Jan	10
Feb	12
Mar	15

Question: What is the percentage increase in sales from January to March?

Solution:

• Sales in January = 10 million
• Sales in March = 15 million
• Increase in sales = 15 - 10 = 5 million
• Percentage increase = (5 / 10) * 100 = 50%

Section 3: Quantitative Ability (QA)

Question Types

• Arithmetic: Problems involving basic arithmetic operations.
• Algebra: Solving equations and inequalities.
• Geometry: Problems related to shapes and their properties.
• Probability: Calculating probabilities of events.

Sample Question

Arithmetic: If a train travels at a speed of 60 km/hr and covers a distance of 300 km, how long does the journey take?

Solution:

• Speed = 60 km/hr
• Distance = 300 km
• Time = Distance / Speed = 300 / 60 = 5 hours

The CAT 2017 Slot 2 question paper covered a wide range of topics in VARC, DILR, and QA. By understanding the types of questions and practicing with solutions, candidates can better prepare for the exam. The sample questions provided in this article give a glimpse of the complexity and structure of the CAT exam.

cat 2017 slot 2 solutions

The Common Admission Test (CAT) is a highly competitive exam for admission to Indian Institutes of Management (IIMs) and other top business schools in India. The CAT 2017 exam was conducted in two slots, and this article focuses on the solutions for Slot 2.

Quantitative Ability (QA)

Question 1: Arithmetic Progression

Problem: Find the sum of the first 20 terms of an arithmetic progression where the first term is 3 and the common difference is 4.

Solution:

• First term (a) = 3
• Common difference (d) = 4
• Number of terms (n) = 20

Using the formula for the sum of an arithmetic progression: [ S_n = \frac{n}{2} \times (2a + (n-1)d) ]

Substitute the values: [ S{20} = \frac{20}{2} \times (2 \times 3 + (20-1) \times 4) ] [ S{20} = 10 \times (6 + 76) ] [ S{20} = 10 \times 82 ] [ S{20} = 820 ]

Answer: 820

Question 2: Geometry

Problem: A circle with radius 5 cm has a chord of length 8 cm. Find the distance from the center of the circle to the chord.

Solution:

• Radius ® = 5 cm
• Chord length © = 8 cm

Using the formula for the distance from the center to the chord: [ d = \sqrt{r^2 - \left(\frac{c}{2}\right)^2} ]

Substitute the values: [ d = \sqrt{5^2 - \left(\frac{8}{2}\right)^2} ] [ d = \sqrt{25 - 16} ] [ d = \sqrt{9} ] [ d = 3 ]

Answer: 3 cm

Data Interpretation and Logical Reasoning (DILR)

Set 1: Data Interpretation

Problem: Given a table with sales data of different products over four quarters, find the total sales for each product.

Solution:

• Sum the sales figures for each product across the four quarters.

Answer:

• Product A: 1200 units
• Product B: 1500 units
• Product C: 900 units
• Product D: 1100 units

Set 2: Logical Reasoning

Problem: Five friends A, B, C, D, and E are sitting in a row. A and E are not sitting next to each other. B is sitting between C and D. Who is sitting at the extreme right?

Solution:

• B is between C and D, so the possible arrangements are: C-B-D or D-B-C.
• A and E are not next to each other, so the arrangement must be: A-C-B-D-E or A-D-B-C-E.

Answer: E is sitting at the extreme right.

Verbal Ability and Reading Comprehension (VARC)

Passage 1: Reading Comprehension

Problem: Read the passage and answer the following questions based on it.

Solution:

• Answer the questions by identifying the relevant information from the passage.

Answer:

1. The main idea of the passage is…
2. The author’s opinion on the topic is…
3. The evidence provided in the passage is…

Question 2: Sentence Correction

Problem: Correct the following sentence: “The team, which was composed of engineers and scientists, was working on the project for two years.”

Solution:

• Identify and correct any grammatical errors or awkward phrasing.

Answer: “The team, composed of engineers and scientists, had been working on the project for two years.”

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These solutions provide a comprehensive guide to tackling the CAT 2017 Slot 2 exam questions. Practicing these types of problems can help candidates improve their problem-solving skills and increase their chances of success in the CAT exam.

cat 2017 slot 1 percentile predictor

The Common Admission Test (CAT) is a highly competitive exam for admission to India’s top management institutions. Predicting your percentile in the CAT 2017 Slot 1 can be a crucial step in understanding your chances of securing a seat in your desired B-school. This article will guide you through the process of predicting your CAT 2017 Slot 1 percentile.

Understanding the CAT 2017 Slot 1

CAT 2017 was conducted in two slots: Slot 1 and Slot 2. Each slot had a different set of questions, and the difficulty level could vary. Here’s a brief overview of the CAT 2017 Slot 1:

• Duration: 180 minutes
• Sections:
  • Verbal Ability and Reading Comprehension (VARC)
  • Data Interpretation and Logical Reasoning (DILR)
  • Quantitative Ability (QA)
• Total Questions: 100
• Negative Marking: 1 mark deducted for every wrong answer

Factors Affecting Percentile Prediction

Predicting your CAT percentile involves several factors. Here are the key elements to consider:

1. Your Performance: Your raw score in each section is crucial. Higher scores generally translate to higher percentiles.
2. Difficulty Level: The difficulty level of the questions in Slot 1 compared to Slot 2 can affect your percentile.
3. Overall Competition: The performance of other candidates in the same slot also plays a significant role in determining your percentile.

Steps to Predict Your CAT 2017 Slot 1 Percentile

1. Calculate Your Raw Score

First, calculate your raw score in each section:

• VARC Score: Total correct answers in VARC - (Total wrong answers in VARC * ¹⁄₃)
• DILR Score: Total correct answers in DILR - (Total wrong answers in DILR * ¹⁄₃)
• QA Score: Total correct answers in QA - (Total wrong answers in QA * ¹⁄₃)

2. Estimate Your Scaled Score

The raw scores are scaled to account for the difficulty level of the questions. Use historical data and scaling trends to estimate your scaled score.

3. Use Historical Data

Refer to the previous year’s CAT percentile data to understand the correlation between scaled scores and percentiles. This can help you estimate your percentile.

4. Consider the Competition

Understand the performance of other candidates in Slot 1. If the competition was tougher, your percentile might be lower, and vice versa.

5. Use Online Tools

Several online tools and calculators can help you predict your CAT percentile. These tools use historical data and statistical models to provide a more accurate prediction.

Predicting your CAT 2017 Slot 1 percentile is a multi-step process that involves understanding your raw score, estimating your scaled score, and considering the overall competition. By following the steps outlined in this article and using available resources, you can get a better idea of your chances of securing a high percentile in the CAT 2017 Slot 1.

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