cat 2017 slot 1 answers
The Common Admission Test (CAT) is a highly competitive exam for admission to various management programs in India. The 2017 CAT exam was conducted in two slots, and this article provides detailed answers for Slot 1. Quantitative Aptitude Question 1: Ratio and Proportion Question: If the ratio of the sum of the first m terms of an arithmetic progression to the sum of the first n terms of the same arithmetic progression is m^2:n^2, then what is the ratio of the mth term to the nth term? Answer: The ratio of the sum of the first m terms to the sum of the first n terms is given by: [ \frac{S_m}{S_n} = \frac{m^2}{n^2} ] Using the formula for the sum of an arithmetic progression: [ S_m = \frac{m}{2} \times (2a + (m-1)d) ] [ S_n = \frac{n}{2} \times (2a + (n-1)d) ] Substituting these into the given ratio: [ \frac{\frac{m}{2} \times (2a + (m-1)d)}{\frac{n}{2} \times (2a + (n-1)d)} = \frac{m^2}{n^2} ] Simplifying, we get: [ \frac{2a + (m-1)d}{2a + (n-1)d} = \frac{m}{n} ] Solving for the ratio of the mth term to the nth term: [ \frac{a + (m-1)d}{a + (n-1)d} = \frac{m}{n} ] Therefore, the ratio of the mth term to the nth term is: [ \frac{T_m}{T_n} = \frac{m}{n} ] Question 2: Geometry Question: In a triangle ABC, the median from A is perpendicular to the median from B.
- Starlight Betting Loungenew
Celestial Bet100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Lucky Ace Palace
Luck&Luxury100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Cash King Palace
Royal Wins100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Silver Fox Slots
Elegance+Fun100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Spin Palace Casino
Win Big Now100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Golden Spin Casino
Luxury Play100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- 2nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Lucky Ace Casino
Luck&Luxury100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Royal Fortune Gaming
Opulence & Thrills100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Diamond Crown Casino
Opulence & Fun100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
- Jackpot Haven
Thrills&Wins100% / $1500Casino popularity:Collecting more data...Payment methods- Wagering: 35 x (b)
- Withdrawal time: 1 days
- Minimum deposit to casino: $30
- Bonus max bet: $5
- Established: 2024
- Free Spins: 200
- 1st Deposit Bonus:100% / $1500 + 200 Free Spins
- Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
- Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
- Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
- Leading selection of slots
- VISA casino site
- HD streaming casino games
- Newly unveiled casino
- Signup offer now available
- Mr. Gamble special bonuses
Show more -
cat 2017 slot 1 answers
The Common Admission Test (CAT) is a highly competitive exam for admission to various management programs in India. The 2017 CAT exam was conducted in two slots, and this article provides detailed answers for Slot 1.
Quantitative Aptitude
Question 1: Ratio and Proportion
Question: If the ratio of the sum of the first m terms of an arithmetic progression to the sum of the first n terms of the same arithmetic progression is m^2:n^2, then what is the ratio of the mth term to the nth term?
Answer:
- The ratio of the sum of the first m terms to the sum of the first n terms is given by: [ \frac{S_m}{S_n} = \frac{m^2}{n^2} ]
- Using the formula for the sum of an arithmetic progression: [ S_m = \frac{m}{2} \times (2a + (m-1)d) ] [ S_n = \frac{n}{2} \times (2a + (n-1)d) ]
- Substituting these into the given ratio: [ \frac{\frac{m}{2} \times (2a + (m-1)d)}{\frac{n}{2} \times (2a + (n-1)d)} = \frac{m^2}{n^2} ]
- Simplifying, we get: [ \frac{2a + (m-1)d}{2a + (n-1)d} = \frac{m}{n} ]
- Solving for the ratio of the mth term to the nth term: [ \frac{a + (m-1)d}{a + (n-1)d} = \frac{m}{n} ]
- Therefore, the ratio of the mth term to the nth term is: [ \frac{T_m}{T_n} = \frac{m}{n} ]
Question 2: Geometry
Question: In a triangle ABC, the median from A is perpendicular to the median from B. If the lengths of the sides AB and BC are 18 cm and 24 cm respectively, find the length of AC.
Answer:
- Let D and E be the midpoints of BC and AC respectively.
- Since the medians are perpendicular, triangle ABD is a right triangle with AB as the hypotenuse.
- Using the Pythagorean theorem in triangle ABD: [ AB^2 = AD^2 + BD^2 ]
- Since D is the midpoint of BC, BD = 12 cm.
- Let AD = x. Then: [ 18^2 = x^2 + 12^2 ] [ 324 = x^2 + 144 ] [ x^2 = 180 ] [ x = \sqrt{180} = 6\sqrt{5} ]
- Now, using the Pythagorean theorem in triangle AEC: [ AC^2 = AE^2 + EC^2 ]
- Since E is the midpoint of AC, EC = AC/2.
- Let AC = y. Then: [ y^2 = (6\sqrt{5})^2 + \left(\frac{y}{2}\right)^2 ] [ y^2 = 180 + \frac{y^2}{4} ] [ \frac{3y^2}{4} = 180 ] [ y^2 = 240 ] [ y = \sqrt{240} = 4\sqrt{15} ]
- Therefore, the length of AC is: [ \boxed{4\sqrt{15}} ]
Verbal Ability
Question 1: Reading Comprehension
Question: Read the following passage and answer the questions that follow.
Passage: The concept of sustainability has gained significant attention in recent years. It refers to the ability of a system to endure and maintain itself over time. In the context of business, sustainability involves balancing economic growth with environmental and social considerations. Companies are increasingly adopting sustainable practices to reduce their environmental impact and improve their social responsibility.
Answer:
What is the main idea of the passage?
- The main idea is the importance of sustainability in business, focusing on balancing economic growth with environmental and social considerations.
What are companies doing to improve sustainability?
- Companies are adopting sustainable practices to reduce their environmental impact and improve their social responsibility.
Question 2: Sentence Correction
Question: Choose the correct sentence from the options provided.
Options:
- The committee has decided to postpone the meeting until next week.
- The committee have decided to postpone the meeting until next week.
Answer:
- The correct sentence is: [ \boxed{1} ]
- The subject “committee” is singular, so the verb should also be singular.
Data Interpretation and Logical Reasoning
Question 1: Data Interpretation
Question: The following table shows the sales of a company over four quarters. Calculate the total sales for the year.
| Quarter | Sales (in millions) |
|---|---|
| Q1 | 15 |
| Q2 | 20 |
| Q3 | 25 |
| Q4 | 30 |
Answer:
- Total sales for the year: [ 15 + 20 + 25 + 30 = 90 \text{ million} ]
Question 2: Logical Reasoning
Question: If all roses are flowers and some flowers are red, then can we conclude that some roses are red?
Answer:
- Given:
- All roses are flowers.
- Some flowers are red.
- We cannot conclude that some roses are red because the information about red flowers does not specify whether they are roses or not.
The CAT 2017 Slot 1 exam covered a wide range of topics, including quantitative aptitude, verbal ability, and data interpretation. Understanding the concepts and practicing regularly are key to performing well in such competitive exams.
what is a lucky 31 bet
A Lucky 31 bet is a type of wager commonly found in sports betting, particularly in horse racing. It is a complex bet that combines multiple selections to create a series of potential winning outcomes. Understanding the structure and potential payouts of a Lucky 31 bet can be beneficial for both novice and experienced bettors.
Structure of a Lucky 31 Bet
A Lucky 31 bet consists of 31 separate bets derived from 5 different selections. The bet includes:
- 5 Singles: One bet on each of the 5 selections.
- 10 Doubles: One bet on each possible pair of selections.
- 10 Trebles: One bet on each possible combination of three selections.
- 5 Four-Folds: One bet on each possible combination of four selections.
- 1 Five-Fold Accumulator: One bet on all 5 selections combined.
Example Breakdown
Let’s assume you have selected 5 horses in different races:
- Horse A
- Horse B
- Horse C
- Horse D
- Horse E
The Lucky 31 bet would include:
- Singles: 5 bets (A, B, C, D, E)
- Doubles: 10 bets (AB, AC, AD, AE, BC, BD, BE, CD, CE, DE)
- Trebles: 10 bets (ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE)
- Four-Folds: 5 bets (ABCD, ABCE, ABDE, ACDE, BCDE)
- Five-Fold: 1 bet (ABCDE)
Potential Payouts
The potential payout of a Lucky 31 bet depends on the odds of each selection and the number of selections that win. Here’s a simplified breakdown:
- Single Winners: If only one selection wins, you only win the single bet on that selection.
- Multiple Winners: If more than one selection wins, you win multiple bets, including doubles, trebles, four-folds, and the five-fold accumulator.
Example Calculation
Assume each bet is placed at £1:
- Total Stake: £31 (31 bets x £1)
- If 3 Selections Win: You win the 3 singles, 3 doubles, 1 treble, and the five-fold accumulator.
- If All 5 Selections Win: You win all 31 bets, resulting in the maximum payout.
Advantages and Disadvantages
Advantages
- Coverage: Offers extensive coverage with 31 different bets, increasing the chances of a return.
- Potential Payouts: Can yield significant returns if multiple selections win.
Disadvantages
- High Stake: Requires a larger initial investment due to the 31 separate bets.
- Complexity: More complex than simpler bets like singles or doubles, requiring a good understanding of how each bet works.
A Lucky 31 bet is a sophisticated betting strategy that offers a high potential payout but requires a substantial initial investment and understanding of the bet structure. It is best suited for experienced bettors who are comfortable with the complexities of multiple selections and accumulators. For those willing to take on the challenge, a Lucky 31 bet can be a rewarding way to enhance your betting experience.
bet365 yankeel
Introduction to Bet365 Yankee Betting
Bet365 is one of the most renowned online betting platforms, offering a wide range of betting options for enthusiasts. One of the popular types of bets available on Bet365 is the Yankee bet. A Yankee bet is a complex yet rewarding form of multiple bet that involves 11 separate bets on four selections. This article will delve into the intricacies of the Bet365 Yankee bet, including how it works, its benefits, and tips for maximizing your winnings.
What is a Yankee Bet?
Definition
A Yankee bet is a type of combination bet consisting of 11 bets on four selections in different events. These 11 bets include:
- 6 doubles
- 4 trebles
- 1 four-fold accumulator
How It Works
- Selection of Events: Choose four different events or outcomes.
- Bet Types: The 11 bets are automatically generated as follows:
- 6 doubles: AB, AC, AD, BC, BD, CD
- 4 trebles: ABC, ABD, ACD, BCD
- 1 four-fold accumulator: ABCD
- Stake: Your total stake is divided equally among the 11 bets. For example, a £1 Yankee bet would cost £11 in total.
Benefits of Bet365 Yankee Betting
Increased Chances of Winning
- Multiple Bets: With 11 separate bets, you have multiple chances to win.
- Coverage: Even if some selections lose, you can still win on the remaining bets.
Potential for High Returns
- Accumulative Odds: The combination of doubles, trebles, and a four-fold accumulator can lead to significant returns, especially if all selections win.
Tips for Maximizing Your Winnings
Research and Analysis
- Event Selection: Choose events with favorable odds and a good chance of winning.
- Form Analysis: Study the form and recent performances of the selections.
Stake Management
- Budgeting: Ensure you have a clear budget for your Yankee bet.
- Stake Size: Consider the potential returns and risks when deciding the stake size.
Utilize Bet365 Features
- Live Betting: Take advantage of Bet365’s live betting options for real-time adjustments.
- Promotions: Keep an eye on Bet365 promotions and bonuses that can enhance your betting experience.
Bet365 Yankee betting offers a unique and exciting way to bet on multiple selections, providing increased chances of winning and the potential for high returns. By understanding how the bet works and employing effective strategies, you can maximize your winnings and enjoy a rewarding betting experience on Bet365.
lucky 15 horse racing
Introduction
The Lucky 15 is a popular bet type in horse racing, offering a combination of singles, doubles, trebles, and a fourfold accumulator. This bet can be both exciting and rewarding, providing multiple chances to win with just one wager. In this article, we will delve into the intricacies of the Lucky 15, including how it works, its advantages, and tips for maximizing your chances of success.
What is a Lucky 15 Bet?
A Lucky 15 bet consists of 15 separate bets on four different selections in horse races. The 15 bets are composed of:
- 4 singles
- 6 doubles
- 4 trebles
- 1 fourfold accumulator
How It Works
- Selections: Choose four horses in different races.
- Singles: Each horse is bet individually.
- Doubles: Combinations of two horses winning.
- Trebles: Combinations of three horses winning.
- Fourfold Accumulator: All four horses winning.
Example
Suppose you select horses A, B, C, and D. Your Lucky 15 bet would include:
- 4 singles: A, B, C, D
- 6 doubles: AB, AC, AD, BC, BD, CD
- 4 trebles: ABC, ABD, ACD, BCD
- 1 fourfold: ABCD
Advantages of a Lucky 15 Bet
Multiple Chances to Win
Unlike a traditional accumulator, the Lucky 15 offers multiple opportunities to win. Even if only one horse wins, you can still collect on a single bet.
Enhanced Payouts
The Lucky 15 often comes with bonuses, such as a 10% bonus on winnings if all four selections win, or a consolation payout if only one selection is successful.
Flexibility
You can place a Lucky 15 on any type of horse race, from flat racing to jumps, and even across different meetings.
Tips for Maximizing Your Lucky 15 Bet
Research Thoroughly
- Form Guide: Study the form guide to understand each horse’s recent performance.
- Jockey and Trainer: Consider the jockey’s and trainer’s recent records.
- Track Conditions: Be aware of the track conditions and how they might affect the race.
Use Handicap Races
Handicap races can provide more value as the odds are adjusted based on each horse’s ability, offering potentially higher returns.
Manage Your Bankroll
- Stake Wisely: Ensure your stake is within your budget.
- Avoid Over-Committing: Don’t place all your money on one Lucky 15 bet. Diversify your bets to manage risk.
Consider Each Selection’s Odds
- Balanced Odds: Aim for a mix of short, medium, and long odds to balance risk and potential reward.
- Value Bets: Look for horses with good odds that you believe have a strong chance of winning.
The Lucky 15 bet is a versatile and exciting option for horse racing enthusiasts. By understanding how it works and employing strategic tips, you can enhance your betting experience and potentially increase your winnings. Whether you’re a seasoned punter or a newcomer to horse racing, the Lucky 15 offers a thrilling way to engage with the sport.
