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

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 2019 slot 1 question paper with solutions

The Common Admission Test (CAT) is a crucial exam for students aspiring to join top business schools in India. In this article, we’ll delve into the CAT 2019 slot 1 question paper and provide detailed solutions for each section.

Section 1: Quantitative Ability (QA)

The QA section consisted of 34 questions, divided into three parts:

Part A: Arithmetic

• Q1-10: Basic arithmetic operations, number series, and geometry.
  • Solution:
    • Q1: If the average of four numbers is 16, then the sum of the numbers is 64. (Answer: 64)
    • Q2: If x > 0, which of the following is always true? (Answer: x^2 + x > 0)
• Q11-20: Algebra and basic arithmetic.
  • Solution:
    • Q11: Find the value of (x - y)^2. (Answer: x^2 - 2xy + y^2)
    • Q12: If 4^(4x) = 9, find the value of x.

Part B: Algebra

• Q21-24: Higher algebra, including quadratic equations and polynomials.
  • Solution:
    • Q21: Solve for x in the equation x^2 + 2 = 0. (Answer: No real solutions)
• Q25-30: Basic algebra, including linear equations and inequalities.
  • Solution:
    • Q25: If 5x - 3y = 10, find the value of y when x = 3.

Part C: Geometry

• Q31-34: Basic geometry concepts, including triangles, circles, and coordinate geometry.
  • Solution:
    • Q31: Find the equation of a circle with center (-4, 2) and radius 5. (Answer: (x + 4)^2 + (y - 2)^2 = 25)

Section 2: Data Interpretation & Logical Reasoning (DILR)

The DILR section had 32 questions.

Part A: Data Interpretation

• Q1-8: Tables and charts, including line graphs and bar charts.
  • Solution:
    • Q1: Analyze the sales data for a retail store. (Answer: Find the value of average sale)
• Q9-16: Matrix-based questions and other logical puzzles.
  • Solution:
    • Q9: Arrange the countries in order of population, using the given matrix.

Part B: Logical Reasoning

• Q17-24: Verbal reasoning questions, including syllogisms and assumptions.
  • Solution:
    • Q17: Identify the logical conclusion from a set of statements. (Answer: Find the correct answer)
• Q25-32: Puzzles and brain teasers, including sequence-based questions.
  • Solution:
    • Q25: Find the next number in a sequence (2, 5, 10, 20).

Section 3: Verbal Ability & Reading Comprehension (VARC)

The VARC section had 32 questions.

Part A: Verbal Ability

• Q1-16: Basic verbal reasoning and comprehension.
  • Solution:
    • Q1: Find the correct antonym for a given word. (Answer: Identify the word)
• Q17-24: Passage-based comprehension, including summaries and inferences.
  • Solution:
    • Q17: Summarize a passage on climate change.

Part B: Reading Comprehension

• Q25-32: Short passages with multiple-choice questions.
  • Solution:
    • Q25: Identify the author’s tone from a given passage. (Answer: Determine the tone)

In conclusion, this article has provided an overview of the CAT 2019 slot 1 question paper and detailed solutions for each section. It is essential to practice these questions to improve your skills and performance in future exams.

Note: The solutions provided are not exhaustive, but they cover some of the most common types of questions.

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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.

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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 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:

1. The main idea of the passage is…
2. The author’s opinion on the topic is…
3. 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.”

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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.

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