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 AbilityInstructions:Time: 60 minutesMaximum Marks: 30The 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 TypeNumber of QuestionsMarks AllocationArithmetic8-93-4 marks eachAlgebra6-74-5 marks eachGeometry2-34-5 marks eachMiscellaneous1-24-5 marks eachQuestion Paper with Solutions:Here is the question paper with detailed solutions.Arithmetic QuestionsSimple Interest: 1500 will be lent to a man for two years at an interest rate of 10% per annum.
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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 2018 slot 1 question paper with solutions
The Common Admission Test (CAT) is a crucial exam for students aspiring to pursue management courses in India’s top business schools. The 2018 CAT exam was conducted in two slots, and this article focuses on the questions and solutions from Slot 1. Understanding the types of questions and their solutions can help future aspirants prepare more effectively.
Section I: Verbal Ability and Reading Comprehension
Passage-Based Questions
Passage 1: The Role of Technology in Education
- Question: Discuss the impact of technology on the traditional classroom setup.
- Solution: Technology has transformed education by making learning more interactive and accessible. It allows for personalized learning experiences and provides resources that were previously unavailable.
Passage 2: The Evolution of Work Culture
- Question: How has the work culture evolved with the advent of remote work?
- Solution: Remote work has led to a more flexible work culture, allowing employees to balance work and personal life better. However, it also poses challenges such as maintaining team cohesion and ensuring productivity.
Sentence Correction
- Question: The committee, which was formed last year, have been working diligently to improve the infrastructure.
- Solution: The correct sentence should be: “The committee, which was formed last year, has been working diligently to improve the infrastructure.”
Section II: Data Interpretation and Logical Reasoning
Data Interpretation
Question: Based on the given data, calculate the percentage increase in sales from 2017 to 2018.
- Solution: Use the formula: [(Sales in 2018 - Sales in 2017) / Sales in 2017] * 100.
Question: Analyze the trend in profit margins over the past five years.
- Solution: Plot the profit margins on a graph and observe the trend line. Identify any significant increases or decreases.
Logical Reasoning
Question: If all A are B and some B are C, can we conclude that some A are C?
- Solution: No, we cannot conclude that some A are C. The relationship between A and C is not directly established from the given statements.
Question: Determine the next number in the sequence: 2, 4, 8, 16, ?
- Solution: The sequence is a geometric progression with a common ratio of 2. The next number is 32.
Section III: Quantitative Ability
Algebra
Question: Solve for x: 2x + 3 = 11
- Solution: Subtract 3 from both sides: 2x = 8. Divide by 2: x = 4.
Question: Simplify the expression: (x^2 - 4) / (x - 2)
- Solution: Factorize the numerator: (x - 2)(x + 2) / (x - 2). Cancel the common terms: x + 2.
Geometry
Question: Calculate the area of a triangle with base 6 cm and height 8 cm.
- Solution: Use the formula: Area = 0.5 * base * height. Area = 0.5 * 6 * 8 = 24 square cm.
Question: Find the volume of a cylinder with radius 5 cm and height 10 cm.
- Solution: Use the formula: Volume = π * r^2 * h. Volume = π * 5^2 * 10 = 250π cubic cm.
The CAT 2018 Slot 1 question paper covered a wide range of topics, from verbal ability and reading comprehension to data interpretation and quantitative ability. By understanding the types of questions and their solutions, aspirants can better prepare for future exams and improve their chances of success.
cat 2018 slot 1 paper with solutions
The Common Admission Test (CAT) is a highly competitive exam conducted annually in India for admission to various management programs. The 2018 CAT exam was divided into two slots, with Slot 1 being the first to be held. This article provides a comprehensive overview of the CAT 2018 Slot 1 paper along with detailed solutions to help aspirants understand the exam pattern and the types of questions asked.
Exam Structure
The CAT 2018 exam was structured into three sections:
- Verbal Ability and Reading Comprehension (VARC)
- Data Interpretation and Logical Reasoning (DILR)
- Quantitative Ability (QA)
Each section had a time limit of 60 minutes, making the total duration of the exam 180 minutes.
Section-wise Analysis
1. Verbal Ability and Reading Comprehension (VARC)
The VARC section consisted of 34 questions, including:
- Reading Comprehension: 10 passages with 24 questions
- Verbal Ability: 10 questions
Key Topics Covered:
- Reading Comprehension passages on various topics such as business, technology, and social issues.
- Verbal Ability questions focusing on grammar, vocabulary, and sentence correction.
Sample Question:
Question: Which of the following best describes the author’s tone in the passage?
Solution: The author’s tone is analytical and informative, providing a detailed analysis of the topic without expressing personal opinions.
2. Data Interpretation and Logical Reasoning (DILR)
The DILR section had 32 questions, divided into:
- Data Interpretation: 16 questions
- Logical Reasoning: 16 questions
Key Topics Covered:
- Data Interpretation questions based on tables, graphs, and charts.
- Logical Reasoning questions involving puzzles, seating arrangements, and syllogisms.
Sample Question:
Question: Based on the given data, what is the percentage increase in sales from 2017 to 2018?
Solution: Calculate the difference in sales between 2017 and 2018, then divide by the 2017 sales figure and multiply by 100 to get the percentage increase.
3. Quantitative Ability (QA)
The QA section had 34 questions, covering a wide range of mathematical topics.
Key Topics Covered:
- Algebra
- Arithmetic
- Geometry
- Modern Mathematics
Sample Question:
Question: If x + y = 10 and x - y = 4, what is the value of x?
Solution: Add the two equations to eliminate y: 2x = 14, thus x = 7.
Solutions and Explanations
Verbal Ability and Reading Comprehension (VARC)
- Reading Comprehension: Focus on understanding the main idea and supporting details in each passage. Practice identifying the author’s tone and purpose.
- Verbal Ability: Regularly practice grammar rules and vocabulary building exercises.
Data Interpretation and Logical Reasoning (DILR)
- Data Interpretation: Improve your ability to interpret data quickly and accurately. Practice with various types of data representation.
- Logical Reasoning: Enhance your problem-solving skills by practicing different types of logical puzzles and reasoning questions.
Quantitative Ability (QA)
- Algebra: Master solving equations and inequalities.
- Arithmetic: Focus on speed and accuracy in calculations.
- Geometry: Practice solving problems involving shapes and angles.
- Modern Mathematics: Understand concepts like permutations, combinations, and probability.
The CAT 2018 Slot 1 paper was a comprehensive test of the candidates’ aptitude in various domains. By understanding the structure and practicing with sample questions and solutions, aspirants can prepare effectively for the CAT exam. Continuous practice and a strategic approach to each section will significantly enhance your chances of success.
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.