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The Common Admission Test (CAT) is a highly competitive exam for admission into the prestigious Indian Institutes of Management (IIMs) and other top business schools in India. The CAT 2017 exam was divided into two slots, and this article focuses on the solutions for Slot 1. Quantitative Aptitude Question 1: Arithmetic Progression Problem: Find the sum of the first 20 terms of the 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 The sum of the first n terms of an AP is given by: [ S_n = \frac{n}{2} \times (2a + (n-1)d) ] Substituting 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.

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cat 2017 solutions slot 1

The Common Admission Test (CAT) is a highly competitive exam for admission into the prestigious Indian Institutes of Management (IIMs) and other top business schools in India. The CAT 2017 exam was divided into two slots, and this article focuses on the solutions for Slot 1.

Quantitative Aptitude

Question 1: Arithmetic Progression

Problem: Find the sum of the first 20 terms of the 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

The sum of the first n terms of an AP is given by: [ S_n = \frac{n}{2} \times (2a + (n-1)d) ]

Substituting 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 to the circle at point P intersects the x-axis at point Q. If the distance OQ is 25 cm, find the length of PQ.

Solution:

  • Radius ® = 7 cm
  • Distance OQ = 25 cm

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

Data Interpretation and Logical Reasoning

Question 1: Data Interpretation

Problem: Given a table with the sales figures of five different products over four quarters, find the product with the highest average sales.

Solution:

  • Calculate the total sales for each product.
  • Divide the total sales by 4 to get the average sales.
  • Compare the averages to find the highest.

Question 2: Logical Reasoning

Problem: A sequence of letters is given: A, B, C, D, E, F, G, H, I, J. Rearrange the letters such that no two consecutive letters are adjacent in the alphabet.

Solution:

  • Start with the middle letter (E) and arrange the letters around it.
  • Ensure that no two consecutive letters are adjacent in the alphabet.
  • Possible arrangement: E, G, C, I, A, F, H, B, D, J.

Verbal Ability

Question 1: Reading Comprehension

Problem: Read the passage and answer the questions based on the information provided.

Solution:

  • Carefully read the passage.
  • Identify the main ideas and supporting details.
  • Answer the questions based on the information extracted from the passage.

Question 2: Sentence Correction

Problem: Identify and correct the grammatical errors in the given sentence.

Solution:

  • Check for subject-verb agreement, tense consistency, and proper use of articles.
  • Correct the errors based on standard English grammar rules.

The CAT 2017 Slot 1 solutions provided here cover a range of topics including Quantitative Aptitude, Data Interpretation and Logical Reasoning, and Verbal Ability. Understanding these solutions can help candidates prepare effectively for the CAT exam and improve their chances of securing admission into top business schools in India.

cat 2018 solutions slot 1

The Common Admission Test (CAT) is one of the most competitive exams in India, serving as a gateway to prestigious management programs. The 2018 edition of CAT was particularly challenging, with a diverse set of questions across various sections. This article provides detailed solutions for the questions in Slot 1 of the CAT 2018 exam.

Quantitative Ability

Question 1: Arithmetic Progression

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

Solution:

  1. The formula for the sum of the first ( n ) terms of an arithmetic progression is: [ S_n = \frac{n}{2} \times (2a + (n-1)d) ]
  2. Here, ( a = 3 ), ( d = 4 ), and ( n = 20 ).
  3. Substitute the values into the formula: [ S_{20} = \frac{20}{2} \times (2 \times 3 + (20-1) \times 4) ]
  4. Simplify the expression: [ S_{20} = 10 \times (6 + 76) = 10 \times 82 = 820 ]

Answer: 820

Question 2: Geometry

Problem: A circle with center ( O ) has two chords ( AB ) and ( CD ) intersecting at ( E ). If ( AE = 6 ), ( EB = 4 ), and ( CE = 3 ), find ( ED ).

Solution:

  1. Using the property of intersecting chords in a circle: [ AE \times EB = CE \times ED ]
  2. Substitute the given values: [ 6 \times 4 = 3 \times ED ]
  3. Solve for ( ED ): [ ED = \frac{24}{3} = 8 ]

Answer: 8

Data Interpretation and Logical Reasoning

Question 1: Data Interpretation

Problem: A company’s annual report shows the following data for the last five years:

Year Revenue (in millions) Profit (in millions)
2014 100 10
2015 120 15
2016 150 20
2017 180 25
2018 200 30

Calculate the average annual growth rate of profit over the five years.

Solution:

  1. The formula for the compound annual growth rate (CAGR) is: [ CAGR = \left( \frac{P{\text{end}}}{P{\text{start}}} \right)^{\frac{1}{n}} - 1 ]
  2. Here, ( P{\text{end}} = 30 ), ( P{\text{start}} = 10 ), and ( n = 5 ).
  3. Substitute the values into the formula: [ CAGR = \left( \frac{30}{10} \right)^{\frac{1}{5}} - 1 = 3^{0.2} - 1 ]
  4. Calculate ( 3^{0.2} ): [ 3^{0.2} \approx 1.2457 ]
  5. Subtract 1 to find the CAGR: [ CAGR \approx 1.2457 - 1 = 0.2457 \approx 24.57\% ]

Answer: 24.57%

Question 2: Logical Reasoning

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

Solution:

  1. Given that C is sitting to the immediate right of D, possible arrangements are:
    • D, C, _, _, _
    • _, D, C, _, _
    • _, _, D, C, _
    • _, _, _, D, C
  2. Since A and B are not sitting next to each other, the only valid arrangement is:
    • _, D, C, _, _
  3. Now, we need to place A and B such that they are not next to each other:
    • A, D, C, B, E

Answer: E is sitting at the extreme right end.

Verbal Ability

Question 1: Reading Comprehension

Problem: Read the following passage and answer the question:

“The rapid advancement of technology has led to significant changes in the way we communicate. Social media platforms have become the primary means of interaction for many people, leading to a decline in face-to-face communication.”

Question: What is the primary reason for the decline in face-to-face communication?

Solution: The primary reason for the decline in face-to-face communication is the rapid advancement of technology, which has made social media platforms the primary means of interaction for many people.

Answer: Rapid advancement of technology

Question 2: Sentence Correction

Problem: Correct the following sentence: “The students was excited for the trip.”

Solution: The sentence should be corrected to: “The student was excited for the trip.”

Answer: The student was excited for the trip.

These solutions should help candidates understand the approach to solving the questions from CAT 2018 Slot 1. Practicing with such detailed solutions can significantly improve problem-solving skills and boost confidence for future exams.

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How can I find the answers for CAT 2017 DILR Slot 1?

To find answers for CAT 2017 DILR Slot 1, start by accessing official CAT resources. The Indian Institutes of Management (IIMs) release detailed answer keys and solutions for past CAT exams. Visit the official CAT website or the websites of individual IIMs for these resources. Additionally, numerous educational portals and forums provide comprehensive explanations and discussions on CAT questions, including DILR Slot 1 from 2017. Websites like Pagalguy, 2IIM, and Career Launcher offer detailed solutions and expert analysis. Engaging with these platforms can help you understand the reasoning behind each answer, enhancing your preparation for future CAT exams.

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The answers for CAT 2017 Slot 1 are available on official IIM websites and various educational portals. Key topics covered include Verbal Ability, Reading Comprehension, Logical Reasoning, and Quantitative Aptitude. To excel, focus on mastering these areas through practice tests and study materials. Remember, CAT is known for its time-sensitive nature, so time management is crucial. Regular practice and understanding the exam pattern can significantly boost your performance. For detailed solutions and explanations, refer to authoritative sources and coaching institutes that provide comprehensive CAT preparation resources.

What are the solutions for the CAT 2017 DILR Slot 1?

The CAT 2017 DILR (Data Interpretation and Logical Reasoning) Slot 1 solutions involve a strategic approach to interpreting data and applying logical reasoning. Key steps include carefully reading the questions, identifying patterns in the data, and using logical deductions to solve problems. For instance, in set-based questions, understanding the relationship between variables and applying set theory can be crucial. Additionally, practicing with previous years' papers and familiarizing oneself with different types of DILR questions can significantly improve performance. Effective time management and a systematic problem-solving strategy are essential for tackling the DILR section successfully.

What are the solutions for CAT 2018 Slot 1?

The solutions for CAT 2018 Slot 1 encompass a comprehensive approach to tackling the exam's quantitative aptitude, verbal ability, and data interpretation sections. Key strategies include rigorous practice with previous years' papers, mastering time management, and focusing on weak areas through targeted study. Utilizing online resources, joining test preparation courses, and participating in mock tests can significantly enhance performance. Additionally, staying updated with the latest exam patterns and syllabus changes is crucial. Effective problem-solving techniques and a disciplined study routine are essential for success in CAT 2018 Slot 1.

What are the answers for CAT 2017 Slot 1?

The answers for CAT 2017 Slot 1 are available on official IIM websites and various educational portals. Key topics covered include Verbal Ability, Reading Comprehension, Logical Reasoning, and Quantitative Aptitude. To excel, focus on mastering these areas through practice tests and study materials. Remember, CAT is known for its time-sensitive nature, so time management is crucial. Regular practice and understanding the exam pattern can significantly boost your performance. For detailed solutions and explanations, refer to authoritative sources and coaching institutes that provide comprehensive CAT preparation resources.

How does the CAT 2017 Slot 1 analysis impact test preparation strategies?

The CAT 2017 Slot 1 analysis reveals key insights for refining test preparation strategies. By examining performance metrics and question patterns, candidates can identify strengths and weaknesses, focusing on areas needing improvement. This data-driven approach helps in tailoring study plans, ensuring more effective use of study time. Additionally, understanding the difficulty level and types of questions in Slot 1 can guide the selection of practice materials, making preparation more targeted. Ultimately, leveraging the CAT 2017 Slot 1 analysis enables candidates to adopt smarter, more strategic approaches to CAT preparation, enhancing their chances of success.

What are the solutions for the CAT 2019 Slot 1 question paper?

The solutions for the CAT 2019 Slot 1 question paper can be found through various educational platforms and coaching institutes that provide detailed explanations and step-by-step answers. Websites like Pagalguy, 2IIM, and Career Launcher offer comprehensive solution guides that help candidates understand the reasoning behind each answer. Additionally, official CAT preparation books and online forums often discuss these solutions, aiding aspirants in their exam preparation. These resources are crucial for mastering the CAT exam format and improving problem-solving skills.

How does the CAT 2017 Slot 1 analysis impact test preparation strategies?

The CAT 2017 Slot 1 analysis reveals key insights for refining test preparation strategies. By examining performance metrics and question patterns, candidates can identify strengths and weaknesses, focusing on areas needing improvement. This data-driven approach helps in tailoring study plans, ensuring more effective use of study time. Additionally, understanding the difficulty level and types of questions in Slot 1 can guide the selection of practice materials, making preparation more targeted. Ultimately, leveraging the CAT 2017 Slot 1 analysis enables candidates to adopt smarter, more strategic approaches to CAT preparation, enhancing their chances of success.

What are the solutions for CAT 2018 Slot 1?

The solutions for CAT 2018 Slot 1 encompass a comprehensive approach to tackling the exam's quantitative aptitude, verbal ability, and data interpretation sections. Key strategies include rigorous practice with previous years' papers, mastering time management, and focusing on weak areas through targeted study. Utilizing online resources, joining test preparation courses, and participating in mock tests can significantly enhance performance. Additionally, staying updated with the latest exam patterns and syllabus changes is crucial. Effective problem-solving techniques and a disciplined study routine are essential for success in CAT 2018 Slot 1.

What are the solutions for the CAT 2019 Slot 1 question paper?

The solutions for the CAT 2019 Slot 1 question paper can be found through various educational platforms and coaching institutes that provide detailed explanations and step-by-step answers. Websites like Pagalguy, 2IIM, and Career Launcher offer comprehensive solution guides that help candidates understand the reasoning behind each answer. Additionally, official CAT preparation books and online forums often discuss these solutions, aiding aspirants in their exam preparation. These resources are crucial for mastering the CAT exam format and improving problem-solving skills.