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 AbilityQuestion 1: Arithmetic ProgressionProblem: 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: 820Question 2: GeometryProblem: A circle with center ( O ) has two chords ( AB ) and ( CD ) intersecting at ( E ).
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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.
top play'n go slots: best games, reviews & bonuses
Play’n Go is a leading provider of online casino games, known for its innovative and high-quality slot games. With a diverse portfolio of titles, Play’n Go offers something for every type of player. In this article, we’ll explore the top Play’n Go slots, providing reviews, highlights, and information on the best bonuses available.
1. Book of Dead
Overview
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Review
Book of Dead is one of Play’n Go’s most popular slots, inspired by the adventures of the famous explorer Rich Wilde. The game features 5 reels and 10 paylines, with a high volatility that can lead to substantial wins. The Free Spins feature with Expanding Symbols is particularly exciting, offering the potential for big payouts.
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Reactoonz is a vibrant and colorful slot that combines cute alien creatures with a unique gameplay mechanic. The game uses Cluster Pays instead of traditional paylines, and the Quantum Leap feature can trigger cascading wins and multipliers. With its fun theme and engaging gameplay, Reactoonz is a hit among players.
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Review
Moon Princess is a visually stunning slot with an anime-inspired theme. The game features 20 paylines and a unique grid-based system. The Free Spins feature offers three different modes, each with its own set of transformations that can lead to significant wins. Moon Princess is a favorite among anime fans and slot enthusiasts alike.
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Review
Fire Joker is a classic slot with a modern twist. The game features 3 reels and 5 paylines, offering a nostalgic feel with updated graphics and features. The Re-spins feature can lead to the Wheel of Multipliers, where players can win up to 80x their bet. Fire Joker is a simple yet rewarding slot that appeals to both new and experienced players.
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Review
Legacy of Dead is a sequel to the popular Book of Dead slot. The game features 5 reels and 10 paylines, with a similar theme and gameplay mechanics. The Free Spins feature with Expanding Symbols offers the potential for substantial wins, making Legacy of Dead a must-try for fans of the original.
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Play’n Go offers a diverse range of high-quality slots that cater to various tastes and preferences. Whether you’re a fan of ancient Egypt, anime, or classic slots, there’s a Play’n Go game for you. Be sure to take advantage of the best bonuses available to maximize your gaming experience.
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 CAT 2018 exam was particularly challenging, with a diverse set of questions across various sections. This article provides detailed solutions for the questions from Slot 1 of the CAT 2018 exam.
Quantitative Ability
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 ]
Question 2: Geometry
Problem: A circle with radius 5 cm is inscribed in a square. Find the area of the square.
Solution:
- Radius of the circle ® = 5 cm
- Diameter of the circle = 2r = 10 cm
Since the circle is inscribed in the square, the diameter of the circle equals the side length of the square.
- Side length of the square = 10 cm
Using the formula for the area of a square: [ \text{Area} = \text{side length}^2 ] [ \text{Area} = 10^2 ] [ \text{Area} = 100 \text{ cm}^2 ]
Data Interpretation and Logical Reasoning
Question 1: Data Interpretation
Problem: Given a table with the sales figures of five different products over four quarters, determine the product with the highest total sales.
Solution:
- Sum the sales figures for each product over the four quarters.
- Compare the totals to find the product with the highest sales.
Question 2: Logical Reasoning
Problem: A sequence of letters follows a specific pattern. Identify the next letter in the sequence: A, C, F, J, ?
Solution:
- Observe the pattern: A (1), C (3), F (6), J (10)
- The differences between the positions are: 2, 3, 4
- The next difference should be 5, so the next letter is at position 10 + 5 = 15
- The 15th letter in the alphabet is O.
Verbal Ability
Question 1: Reading Comprehension
Problem: Read the passage and answer the question: What is the main argument of the author regarding renewable energy?
Solution:
- Carefully read the passage to identify the main points.
- Look for statements that summarize the author’s stance on renewable energy.
Question 2: Sentence Correction
Problem: Correct the following sentence: “The team, including its captain, were excited for the match.”
Solution:
- The subject “team” is singular, so the verb should also be singular.
- Correct sentence: “The team, including its captain, was excited for the match.”
The CAT 2018 exam was a comprehensive test of various skills, including quantitative ability, data interpretation, logical reasoning, and verbal ability. By understanding the solutions provided for Slot 1, aspirants can better prepare for future exams and improve their problem-solving skills.
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.