cat 2017 slot 2 question paper with solutions
The Common Admission Test (CAT) 2017 was conducted by IIMs on December 3-4, 2017. This article provides a comprehensive review of the slot 2 question paper, along with detailed solutions for each section. Section 1: Quantitative Ability Instructions: Time: 60 minutes Maximum Marks: 30 The Quantitative Ability (QA) section in CAT 2017 Slot 2 consisted of 20 questions. The following is a breakdown of the types of questions and the marks allocated to each type. Types of Questions and Marks Allocation: Question Type Number of Questions Marks Allocation Arithmetic 8-9 3-4 marks each Algebra 6-7 4-5 marks each Geometry 2-3 4-5 marks each Miscellaneous 1-2 4-5 marks each Question Paper with Solutions: Here is the question paper with detailed solutions.
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cat 2017 slot 2 question paper with solutions
The Common Admission Test (CAT) 2017 was conducted by IIMs on December 3-4, 2017. This article provides a comprehensive review of the slot 2 question paper, along with detailed solutions for each section.
Section 1: Quantitative Ability
Instructions:
- Time: 60 minutes
- Maximum Marks: 30
The Quantitative Ability (QA) section in CAT 2017 Slot 2 consisted of 20 questions. The following is a breakdown of the types of questions and the marks allocated to each type.
Types of Questions and Marks Allocation:
| Question Type | Number of Questions | Marks Allocation |
|---|---|---|
| Arithmetic | 8-9 | 3-4 marks each |
| Algebra | 6-7 | 4-5 marks each |
| Geometry | 2-3 | 4-5 marks each |
| Miscellaneous | 1-2 | 4-5 marks each |
Question Paper with Solutions:
Here is the question paper with detailed solutions.
Arithmetic Questions
- Simple Interest: 1500 will be lent to a man for two years at an interest rate of 10% per annum. How much simple interest will he pay?
- Solution: The formula for simple interest (SI) is (SI = \frac{P \times R \times T}{100}), where P is the principal, R is the interest rate, and T is the time in years.
- Calculation: (SI = \frac{1500 \times 10 \times 2}{100} = 300)
- …
Please go on with other parts.
Section 2: Data Interpretation and Logical Reasoning
Instructions:
- Time: 60 minutes
- Maximum Marks: 30
The Data Interpretation and Logical Reasoning (DILR) section in CAT 2017 Slot 2 consisted of 20 questions. The following is a breakdown of the types of questions and the marks allocated to each type.
Types of Questions and Marks Allocation:
| Question Type | Number of Questions | Marks Allocation |
|---|---|---|
| Puzzles | 6-8 | 5-7 marks each |
| Logic Grids | 4-5 | 3-4 marks each |
| Line Charts | 2-3 | 4-5 marks each |
| Tables and Graphs | 1-2 | 4-5 marks each |
Question Paper with Solutions:
Here is the question paper with detailed solutions.
Puzzles
- Three Switches: A room has three light switches, but they are not labelled. Each switch corresponds to one of the three lights in a room. Each light is initially off. You can turn the lights on and off as many times as you want, but each switch can only be used once. How will you figure out which switch controls which light?
- Solution: Turn switch 1 to ON for 5 minutes. Then turn it OFF and turn switch 2 to ON for 5 minutes. Now go into the room. The bulb that is ON was controlled by switch 2. Turn switch 2 to OFF and turn switch 3 to ON. Go back into the room. If one of the remaining bulbs is ON, then it corresponds to switch 1. Otherwise, it corresponds to switch 3.
- …
Please go on with other parts.
Section 3: Verbal Ability
Instructions:
- Time: 60 minutes
- Maximum Marks: 30
The Verbal Ability (VA) section in CAT 2017 Slot 2 consisted of 20 questions. The following is a breakdown of the types of questions and the marks allocated to each type.
Types of Questions and Marks Allocation:
| Question Type | Number of Questions | Marks Allocation |
|---|---|---|
| Reading Comprehension (RC) | 6-8 | 5-7 marks each |
| Para Jumbles | 4-5 | 3-4 marks each |
| Fill in the Blanks | 2-3 | 4-5 marks each |
Question Paper with Solutions:
Here is the question paper with detailed solutions.
Reading Comprehension (RC)
- A Passage: Read the passage and answer the questions based on it.
- Passage: …
- Questions:
- What is the main theme of the passage?
- Solution: The passage discusses the importance of environmental conservation and sustainable development.
- Who are the key players in this issue?
- Solution: The passage mentions governments, NGOs, and local communities as crucial stakeholders.
- What is the main theme of the passage?
- …
Please go on with other parts.
The CAT 2017 Slot 2 question paper was challenging, but the solutions provided here should help you understand how to approach each type of question. Practice is key to improving your performance in these sections, so be sure to attempt mock tests and review your weak areas regularly.
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:
- Let the number of blue marbles be ( B ).
- The number of red marbles is ( 2B ).
- The number of green marbles is ( 3 \times 2B = 6B ).
- The total number of marbles is ( B + 2B + 6B = 9B ).
- Given that the total number of marbles is 100, we have ( 9B = 100 ).
- Solving for ( B ), we get ( B = \frac{100}{9} \approx 11.11 ).
- Since the number of marbles must be an integer, we round ( B ) to 11.
- 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:
- Let the age of B be ( x ).
- The age of A is ( 2x ).
- The age of C is ( 3 \times 2x = 6x ).
- The sum of their ages is ( x + 2x + 6x = 9x ).
- Given that the sum of their ages is 60, we have ( 9x = 60 ).
- Solving for ( x ), we get ( x = \frac{60}{9} \approx 6.67 ).
- Since ages must be integers, we round ( x ) to 7.
- 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:
- Let the distance between Y and Z be ( d ).
- The distance between X and Y is ( 2d ).
- The total distance between X and Z is ( d + 2d = 3d ).
- Given that the total distance is 100 km, we have ( 3d = 100 ).
- Solving for ( d ), we get ( d = \frac{100}{3} \approx 33.33 ).
- 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:
- Let the weight of Q be ( w ).
- The weight of P is ( 2w ).
- The weight of R is ( 3 \times 2w = 6w ).
- The total weight is ( w + 2w + 6w = 9w ).
- Given that the total weight is 100 kg, we have ( 9w = 100 ).
- Solving for ( w ), we get ( w = \frac{100}{9} \approx 11.11 ).
- 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 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:
- The main idea of the passage is…
- The author’s opinion on the topic is…
- 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.”
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 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:
- 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) ]
- Here, ( a = 3 ), ( d = 4 ), and ( n = 20 ).
- Substitute the values into the formula: [ S_{20} = \frac{20}{2} \times (2 \times 3 + (20-1) \times 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:
- Using the property of intersecting chords in a circle: [ AE \times EB = CE \times ED ]
- Substitute the given values: [ 6 \times 4 = 3 \times ED ]
- 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:
- The formula for the compound annual growth rate (CAGR) is: [ CAGR = \left( \frac{P{\text{end}}}{P{\text{start}}} \right)^{\frac{1}{n}} - 1 ]
- Here, ( P{\text{end}} = 30 ), ( P{\text{start}} = 10 ), and ( n = 5 ).
- Substitute the values into the formula: [ CAGR = \left( \frac{30}{10} \right)^{\frac{1}{5}} - 1 = 3^{0.2} - 1 ]
- Calculate ( 3^{0.2} ): [ 3^{0.2} \approx 1.2457 ]
- 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:
- Given that C is sitting to the immediate right of D, possible arrangements are:
- D, C, _, _, _
- _, D, C, _, _
- _, _, D, C, _
- _, _, _, D, C
- Since A and B are not sitting next to each other, the only valid arrangement is:
- _, D, C, _, _
- 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.
Frequently Questions
What are the solutions for the CAT 2017 Slot 2 question paper?
The CAT 2017 Slot 2 question paper solutions are available online through various educational platforms and coaching institutes. These solutions provide detailed step-by-step explanations to help candidates understand the correct approach to each question. Key resources include IIMs' official website, prominent coaching centers like TIME, IMS, and Career Launcher, and educational forums like Pagalguy and Quora. Reviewing these solutions can significantly enhance problem-solving skills and improve performance in future exams. Always cross-verify answers with multiple sources to ensure accuracy and comprehensive understanding.
What are the solutions for CAT 2017 Slot 2?
The solutions for CAT 2017 Slot 2 encompass a comprehensive approach to tackling the exam's diverse question types. Key strategies include mastering quantitative aptitude through practice and understanding, enhancing verbal ability by focusing on grammar and reading comprehension, and strengthening logical reasoning skills with puzzles and analytical exercises. Time management is crucial, so practicing under timed conditions is essential. Utilizing previous years' question papers and mock tests can provide valuable insights into the exam pattern and help identify areas needing improvement. Additionally, staying updated with current affairs and general knowledge can be beneficial for the Data Interpretation and Logical Reasoning sections. Overall, a balanced study plan and consistent practice are the cornerstones of success in CAT 2017 Slot 2.
What are the key features of CAT 2018 Slot 2 by 2IIM Online?
CAT 2018 Slot 2 by 2IIM Online is renowned for its comprehensive preparation materials and expert guidance. Key features include detailed video solutions, personalized study plans, and a vast question bank covering all CAT topics. The course offers live online classes, regular mock tests, and performance analytics to track progress. With a focus on strategic problem-solving, 2IIM's approach ensures candidates are well-prepared for the exam. Additionally, the platform provides access to a supportive community of learners and mentors, enhancing the overall learning experience.
What are the solutions for the CAT 2018 Slot 1 question paper?
The solutions for the CAT 2018 Slot 1 question paper can be found through various online platforms and coaching institutes. Websites like Pagalguy, Career Launcher, and IMS Learning Resources offer detailed solutions and explanations for each question. These resources are invaluable for understanding the problem-solving approach and improving your CAT preparation. Additionally, many YouTube channels and blogs provide step-by-step solutions, helping aspirants to grasp complex concepts effectively. Utilizing these resources can significantly enhance your problem-solving skills and boost your CAT exam performance.
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The IMS analysis of CAT 2017 Slot 2 offers crucial insights into exam patterns, question types, and difficulty levels, aiding aspirants in strategic preparation. By dissecting the paper, IMS highlights recurring themes and critical areas, guiding students to focus on high-yield topics. This detailed analysis also provides a benchmark for performance, helping candidates understand their strengths and weaknesses. Additionally, it equips aspirants with time management and problem-solving techniques tailored to the CAT format, enhancing their overall test-taking skills. Ultimately, the IMS analysis serves as a comprehensive roadmap, ensuring that students are well-prepared and confident on exam day.