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

1. 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)
2. …

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

1. 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.
2. …

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)

1. 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.
2. …

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:

1. 3
2. 3 × 2 = 6
3. 6 × 2 = 12
4. 12 × 2 = 24
5. 24 × 2 = 48

The 5th number is 48.

Verbal Ability & Reading Comprehension

Problem 1: Sentence Correction

Question: Choose the correct sentence:

1. The committee has decided to postpone the meeting until next week.
2. 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 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

1. 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.

2. 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

1. 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

1. 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.

2. 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

1. 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.

2. 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

1. Question: Solve for x: 2x + 3 = 11

   • Solution: Subtract 3 from both sides: 2x = 8. Divide by 2: x = 4.

2. 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

1. 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.

2. 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 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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