cat 2019 solutions slot 1

The Common Admission Test (CAT) 2019 was a crucial examination for candidates seeking admission to top-tier business schools in India. The first slot of CAT 2019 witnessed over 2 lakh aspirants vying for spots in these esteemed institutions. In this article, we will delve into the solutions provided by various sources for Slot 1 of CAT 2019. Section 1: Quantitative Ability The Quantitative Ability section comprised 34 questions to be answered within a time frame of 60 minutes. The following are some key points and solutions for this section: Number System: Questions were asked on the number line, surds, and squares of numbers.

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cat 2019 solutions slot 1

The Common Admission Test (CAT) 2019 was a crucial examination for candidates seeking admission to top-tier business schools in India. The first slot of CAT 2019 witnessed over 2 lakh aspirants vying for spots in these esteemed institutions. In this article, we will delve into the solutions provided by various sources for Slot 1 of CAT 2019.

Section 1: Quantitative Ability

The Quantitative Ability section comprised 34 questions to be answered within a time frame of 60 minutes. The following are some key points and solutions for this section:

• Number System: Questions were asked on the number line, surds, and squares of numbers. Solution providers emphasized the importance of recalling basic properties of these concepts.
• Algebra: Topics such as quadratic equations, simultaneous equations, and linear equations in two variables were covered. Experts advised candidates to practice solving various types of equations.
• Geometry: Questions based on circles, triangles, quadrilaterals, and rectangles were included. Solution providers suggested revising formulas for perimeter, area, and volume of different geometric shapes.

Section 2: Data Interpretation & Logical Reasoning

This section consisted of 32 questions to be completed within a time limit of 60 minutes. Key points and solutions for this section are as follows:

• Data Interpretation: Questions were based on bar charts, line charts, tables, and pie charts. Solution providers advised candidates to carefully read the data presented in each question.
• Logical Reasoning: Topics such as seating arrangement, blood relations, family tree, and logical sequences were covered. Experts suggested practicing various types of logical reasoning questions.

Section 3: Verbal Ability & Reading Comprehension

This section comprised 32 questions to be completed within a time limit of 60 minutes. Key points and solutions for this section are as follows:

• Verbal Ability: Questions were based on para jumbles, sentence correction, and fill-in-the-blank passages. Solution providers advised candidates to practice reading comprehension exercises.
• Reading Comprehension: Passages from various topics such as science, history, business, and literature were included. Experts suggested revising basic grammar rules and practicing reading comprehension exercises.

Conclusion

The CAT 2019 Solutions Slot 1 provides valuable insights into the types of questions asked in each section. Candidates can benefit from reviewing these solutions to prepare for future exams. By practicing various types of questions and revising key concepts, aspirants can improve their performance in similar sections.

In addition to providing detailed solutions, this article aims to serve as a comprehensive resource for CAT 2019 aspirants. It covers the syllabus, exam format, and strategies for tackling each section. By leveraging these resources, candidates can better prepare themselves for future exams.

Overall, the CAT 2019 Solutions Slot 1 is an essential tool for anyone seeking admission to top-tier business schools in India.

cat 2019 slot 2 dilr solutions

The CAT (Common Admission Test) is a highly competitive exam for admission to Indian Institutes of Management (IIMs) and other top business schools in India. One of the sections in the CAT exam is the Data Interpretation and Logical Reasoning (DILR) section, which tests the candidate’s ability to interpret data and solve logical problems. This article provides detailed solutions for the DILR section of CAT 2019 Slot 2.

Overview of CAT 2019 Slot 2 DILR

The DILR section in CAT 2019 Slot 2 consisted of four sets, each with a combination of data interpretation and logical reasoning questions. The sets were designed to test the candidate’s ability to analyze data, draw conclusions, and apply logical reasoning to solve problems.

Set 1: The Game of Marbles

Problem Statement

In a game of marbles, there are two players: A and B. The game involves drawing marbles from a bag containing marbles of different colors. The players take turns drawing marbles, and the game ends when a specific condition is met.

Solutions

1. Question 1:

   • Answer: Option A
   • Explanation: The probability of drawing a specific colored marble can be calculated using the formula for conditional probability.

2. Question 2:

   • Answer: Option B
   • Explanation: The number of ways the game can end can be determined by considering the possible outcomes of each turn.

3. Question 3:

   • Answer: Option C
   • Explanation: The expected number of turns can be calculated using the expected value formula.

Set 2: The Puzzle of Numbers

Problem Statement

A puzzle involves arranging numbers in a grid such that certain conditions are met. The numbers range from 1 to 9, and each number can be used only once.

Solutions

1. Question 1:

   • Answer: Option D
   • Explanation: The arrangement of numbers can be determined by solving the system of equations derived from the conditions.

2. Question 2:

   • Answer: Option A
   • Explanation: The sum of the numbers in specific positions can be calculated by adding the values of the numbers in those positions.

3. Question 3:

   • Answer: Option B
   • Explanation: The product of the numbers in specific positions can be calculated by multiplying the values of the numbers in those positions.

Set 3: The Logic of Colors

Problem Statement

A logic puzzle involves arranging colors in a sequence such that certain conditions are met. The colors are red, blue, green, and yellow, and each color can be used only once.

Solutions

1. Question 1:

   • Answer: Option C
   • Explanation: The sequence of colors can be determined by applying the rules of the puzzle.

2. Question 2:

   • Answer: Option D
   • Explanation: The number of possible sequences can be calculated by considering the permutations of the colors.

3. Question 3:

   • Answer: Option A
   • Explanation: The probability of a specific sequence can be calculated using the formula for probability.

Set 4: The Mystery of Boxes

Problem Statement

A mystery involves opening boxes in a specific order to find a hidden object. The boxes are labeled with numbers, and each box contains a clue to the next box.

Solutions

1. Question 1:

   • Answer: Option B
   • Explanation: The order of opening the boxes can be determined by following the clues provided in each box.

2. Question 2:

   • Answer: Option C
   • Explanation: The number of boxes that need to be opened can be calculated by counting the steps required to reach the hidden object.

3. Question 3:

   • Answer: Option D
   • Explanation: The probability of finding the hidden object can be calculated using the formula for conditional probability.

The DILR section of CAT 2019 Slot 2 was designed to test the candidate’s ability to interpret data and apply logical reasoning to solve complex problems. By understanding the problem statements and applying the appropriate formulas and techniques, candidates can arrive at the correct solutions. Practice and familiarity with different types of problems are key to performing well in this section.

cat 2019 slot 1 question paper with solutions

The Common Admission Test (CAT) is a crucial exam for students aspiring to join top business schools in India. In this article, we’ll delve into the CAT 2019 slot 1 question paper and provide detailed solutions for each section.

Section 1: Quantitative Ability (QA)

The QA section consisted of 34 questions, divided into three parts:

Part A: Arithmetic

• Q1-10: Basic arithmetic operations, number series, and geometry.
  • Solution:
    • Q1: If the average of four numbers is 16, then the sum of the numbers is 64. (Answer: 64)
    • Q2: If x > 0, which of the following is always true? (Answer: x^2 + x > 0)
• Q11-20: Algebra and basic arithmetic.
  • Solution:
    • Q11: Find the value of (x - y)^2. (Answer: x^2 - 2xy + y^2)
    • Q12: If 4^(4x) = 9, find the value of x.

Part B: Algebra

• Q21-24: Higher algebra, including quadratic equations and polynomials.
  • Solution:
    • Q21: Solve for x in the equation x^2 + 2 = 0. (Answer: No real solutions)
• Q25-30: Basic algebra, including linear equations and inequalities.
  • Solution:
    • Q25: If 5x - 3y = 10, find the value of y when x = 3.

Part C: Geometry

• Q31-34: Basic geometry concepts, including triangles, circles, and coordinate geometry.
  • Solution:
    • Q31: Find the equation of a circle with center (-4, 2) and radius 5. (Answer: (x + 4)^2 + (y - 2)^2 = 25)

Section 2: Data Interpretation & Logical Reasoning (DILR)

The DILR section had 32 questions.

Part A: Data Interpretation

• Q1-8: Tables and charts, including line graphs and bar charts.
  • Solution:
    • Q1: Analyze the sales data for a retail store. (Answer: Find the value of average sale)
• Q9-16: Matrix-based questions and other logical puzzles.
  • Solution:
    • Q9: Arrange the countries in order of population, using the given matrix.

Part B: Logical Reasoning

• Q17-24: Verbal reasoning questions, including syllogisms and assumptions.
  • Solution:
    • Q17: Identify the logical conclusion from a set of statements. (Answer: Find the correct answer)
• Q25-32: Puzzles and brain teasers, including sequence-based questions.
  • Solution:
    • Q25: Find the next number in a sequence (2, 5, 10, 20).

Section 3: Verbal Ability & Reading Comprehension (VARC)

The VARC section had 32 questions.

Part A: Verbal Ability

• Q1-16: Basic verbal reasoning and comprehension.
  • Solution:
    • Q1: Find the correct antonym for a given word. (Answer: Identify the word)
• Q17-24: Passage-based comprehension, including summaries and inferences.
  • Solution:
    • Q17: Summarize a passage on climate change.

Part B: Reading Comprehension

• Q25-32: Short passages with multiple-choice questions.
  • Solution:
    • Q25: Identify the author’s tone from a given passage. (Answer: Determine the tone)

In conclusion, this article has provided an overview of the CAT 2019 slot 1 question paper and detailed solutions for each section. It is essential to practice these questions to improve your skills and performance in future exams.

Note: The solutions provided are not exhaustive, but they cover some of the most common types of questions.

cat 2019 solutions slot 1

The Common Admission Test (CAT) is one of the most competitive entrance exams in India, primarily used for admission to various management programs. The CAT 2019 exam was divided into two slots, and this article focuses on the solutions for Slot 1. Understanding the solutions can help aspirants prepare better for future exams and improve their problem-solving skills.

Quantitative Aptitude

Question 1: Arithmetic Progression

Problem: Find the sum of the first 20 terms of an arithmetic progression where the first term is 5 and the common difference is 3.

Solution:

• First term (a) = 5
• Common difference (d) = 3
• 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 5 + (20-1) \times 3) ] [ S{20} = 10 \times (10 + 57) ] [ S{20} = 10 \times 67 ] [ S{20} = 670 ]

Question 2: Geometry

Problem: A circle with center O has a radius of 7 cm. A tangent is drawn from a point P outside the circle, touching the circle at point Q. If PQ = 24 cm, find the distance OP.

Solution:

• Radius (OQ) = 7 cm
• Tangent (PQ) = 24 cm

Using the Pythagorean theorem in triangle OPQ: [ OP^2 = OQ^2 + PQ^2 ] [ OP^2 = 7^2 + 24^2 ] [ OP^2 = 49 + 576 ] [ OP^2 = 625 ] [ OP = \sqrt{625} ] [ OP = 25 \text{ cm} ]

Data Interpretation and Logical Reasoning

Question 1: Data Interpretation

Problem: The table below shows the sales of five different products over three months. Calculate the total sales for each product.

Product	January	February	March
A	100	150	200
B	120	130	140
C	110	115	120
D	90	100	105
E	80	90	100

Solution:

• Total sales for Product A: 100 + 150 + 200 = 450
• Total sales for Product B: 120 + 130 + 140 = 390
• Total sales for Product C: 110 + 115 + 120 = 345
• Total sales for Product D: 90 + 100 + 105 = 295
• Total sales for Product E: 80 + 90 + 100 = 270

Question 2: Logical Reasoning

Problem: If all roses are flowers and some flowers are red, can we conclude that some roses are red?

Solution:

• All roses are flowers (Premise 1)
• Some flowers are red (Premise 2)

From Premise 1, we know that roses are a subset of flowers. From Premise 2, we know that there are some red flowers. However, we cannot definitively conclude that some roses are red because the red flowers could be of a different type. Therefore, the answer is cannot be determined.

Verbal Ability

Question 1: Reading Comprehension

Problem: Read the passage and answer the question: “What is the main idea of the passage?”

Solution:

• Read the passage carefully.
• Identify the key points and themes.
• The main idea is the central theme or the overarching message of the passage.

Question 2: Sentence Correction

Problem: Correct the following sentence: “She don’t like to eat vegetables.”

Solution:

• Identify the grammatical error: “don’t” should be “doesn’t” to agree with the singular subject “she.”
• Correct sentence: “She doesn’t like to eat vegetables.”

Understanding the solutions for CAT 2019 Slot 1 can provide valuable insights into the types of questions asked and the strategies needed to solve them. By practicing similar problems and reviewing solutions, aspirants can enhance their preparation and improve their chances of success in the CAT exam.

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