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 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 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:
- Verbal Ability and Reading Comprehension (VARC)
- Data Interpretation and Logical Reasoning (DILR)
- 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 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 key differences between the CAT 2017 morning and evening slots?
The CAT 2017 morning and evening slots primarily differ in timing and the set of questions. The morning slot typically started around 9 AM, while the evening slot began at 3 PM. Both sessions were of the same duration, approximately 2 hours and 30 minutes. The difficulty level of questions was consistent across both slots, ensuring fairness. However, the question paper for each slot was unique, meaning different sets of questions were presented to morning and evening candidates. This approach aimed to prevent any potential bias or leakage of questions. Candidates were randomly assigned to either slot, ensuring a balanced distribution.
How to download the CAT 2018 Slot 2 question paper in PDF format?
To download the CAT 2018 Slot 2 question paper in PDF format, visit the official CAT website or reliable educational portals like Career Launcher or Pagalguy. Navigate to the 'Previous Year Papers' section, select 'CAT 2018,' and then choose 'Slot 2.' Click on the 'Download PDF' option. Ensure you have a stable internet connection and sufficient storage space. This method ensures you get an authentic and high-quality copy of the question paper for your preparation. Always verify the source to avoid any discrepancies or fake documents.
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.
How did CAT 2018 Paper Slot 2 differ from other slots?
The CAT 2018 Paper Slot 2 had distinct differences compared to other slots, primarily in its question pattern and difficulty level. This slot featured a more balanced distribution of questions across Verbal Ability, Data Interpretation, and Logical Reasoning sections, which was different from the usual pattern seen in other slots. Additionally, the difficulty level in Slot 2 was slightly higher, with more complex problems requiring deeper analytical skills. This variation aimed to test the candidates' adaptability and comprehensive understanding of the exam topics, making it a challenging yet fair assessment of their capabilities.