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 slot 2 solutions
The Common Admission Test (CAT) is a highly competitive exam for admission to various management programs in India. The 2017 edition of the CAT featured two slots, each with its own set of challenges. This article provides detailed solutions for the CAT 2017 Slot 2, focusing on the key areas of Quantitative Aptitude, Data Interpretation & Logical Reasoning, and Verbal Ability & Reading Comprehension.
Quantitative Aptitude
Problem 1: Arithmetic Progression
Question: Find the sum of the first 20 terms of the arithmetic progression with the first term 5 and common difference 3.
Solution:
- First term (a) = 5
- Common difference (d) = 3
- Number of terms (n) = 20
The sum of the first 20 terms (S20) can be calculated using the formula: [ 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 ]
Problem 2: Geometry
Question: A circle with center O has a radius of 7 cm. A tangent is drawn from a point P, 25 cm away from O. Find the length of the tangent.
Solution:
- Radius ® = 7 cm
- Distance from center to point P (OP) = 25 cm
Using the Pythagorean theorem in the right-angled triangle formed by the radius, tangent, and the line segment from the center to the point: [ OP^2 = OT^2 + PT^2 ] [ 25^2 = 7^2 + PT^2 ] [ 625 = 49 + PT^2 ] [ PT^2 = 625 - 49 ] [ PT^2 = 576 ] [ PT = \sqrt{576} ] [ PT = 24 \text{ cm} ]
Data Interpretation & Logical Reasoning
Problem 1: Data Interpretation
Question: The following table shows the sales of a company over five years. Calculate the average annual sales.
| Year | Sales (in millions) |
|---|---|
| 2013 | 12 |
| 2014 | 15 |
| 2015 | 18 |
| 2016 | 20 |
| 2017 | 25 |
Solution:
- Total sales = 12 + 15 + 18 + 20 + 25 = 90 million
- Number of years = 5
Average annual sales: [ \text{Average} = \frac{\text{Total sales}}{\text{Number of years}} ] [ \text{Average} = \frac{90}{5} ] [ \text{Average} = 18 \text{ million} ]
Problem 2: Logical Reasoning
Question: In a sequence of numbers, each number is twice the previous number. If the first number is 3, what is the 5th number?
Solution:
- First number = 3
- Each subsequent number is twice the previous number.
Sequence:
- 3
- 3 × 2 = 6
- 6 × 2 = 12
- 12 × 2 = 24
- 24 × 2 = 48
The 5th number is 48.
Verbal Ability & Reading Comprehension
Problem 1: Sentence Correction
Question: Choose the correct sentence:
- The committee has decided to postpone the meeting until next week.
- The committee have decided to postpone the meeting until next week.
Solution:
- The correct sentence is: “The committee has decided to postpone the meeting until next week.”
Problem 2: Reading Comprehension
Question: In the passage, the author mentions that “innovation is the key to survival in the modern business world.” What does this statement imply?
Solution:
- The statement implies that businesses must continuously innovate to remain competitive and survive in the rapidly changing business environment.
These solutions provide a comprehensive guide to tackling the CAT 2017 Slot 2 questions across various sections. By understanding and practicing these types of problems, candidates can enhance their preparation and improve their chances of success in the CAT exam.
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 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.