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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Table of contents

Source

cat 2017 slot 2 question paper with solutions

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.
…

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 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.

How does the IMS analysis of CAT 2017 Slot 2 provide valuable insights?

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.

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.

What are the solutions for CAT 2017 Slot 1?

The solutions for CAT 2017 Slot 1 encompass a comprehensive analysis of all sections: Verbal Ability, Data Interpretation, and Logical Reasoning. Key strategies include mastering time management, understanding the question patterns, and practicing with previous years' papers. Focus on enhancing vocabulary and reading comprehension for Verbal Ability, while for Data Interpretation, proficiency in data analysis and interpretation is crucial. Logical Reasoning requires practice in identifying patterns and solving puzzles efficiently. Regular mock tests and thorough review of errors help in refining these skills, ultimately preparing candidates for the CAT exam.