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.

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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.

today's belmont park races: live updates & highlights

Welcome to our live coverage of today’s Belmont Park races! Whether you’re a seasoned horse racing enthusiast or a casual fan, this article will provide you with all the essential updates and highlights from the day’s events. Keep reading to stay informed about the thrilling action at Belmont Park.

Race Schedule

Here’s a quick overview of the races scheduled for today:

1. Race 1: 1:00 PM ET

   • Distance: 6 furlongs
   • Purse: $50,000
   • Top Contenders:
     • Horse A
     • Horse B
     • Horse C

2. Race 2: 1:35 PM ET

   • Distance: 1 mile
   • Purse: $75,000
   • Top Contenders:
     • Horse D
     • Horse E
     • Horse F

3. Race 3: 2:10 PM ET

   • Distance: 7 furlongs
   • Purse: $60,000
   • Top Contenders:
     • Horse G
     • Horse H
     • Horse I

4. Race 4: 2:45 PM ET

   • Distance: 1 ¹⁄₁₆ miles
   • Purse: $80,000
   • Top Contenders:
     • Horse J
     • Horse K
     • Horse L

5. Race 5: 3:20 PM ET

   • Distance: 6 ¹⁄₂ furlongs
   • Purse: $55,000
   • Top Contenders:
     • Horse M
     • Horse N
     • Horse O

Live Updates

Race 1: 1:00 PM ET

• Winner: Horse A
• Time: 1:10.23
• Highlights: Horse A took an early lead and maintained it throughout the race, securing a comfortable victory.

Race 2: 1:35 PM ET

• Winner: Horse E
• Time: 1:38.45
• Highlights: Horse E made a strong move in the final stretch, overtaking Horse D to claim the win.

Race 3: 2:10 PM ET

• Winner: Horse G
• Time: 1:25.67
• Highlights: Horse G led from start to finish, showcasing impressive speed and endurance.

Race 4: 2:45 PM ET

• Winner: Horse K
• Time: 1:42.34
• Highlights: Horse K and Horse J battled neck and neck, with Horse K pulling ahead in the final moments.

Race 5: 3:20 PM ET

• Winner: Horse M
• Time: 1:18.90
• Highlights: Horse M displayed a powerful finish, leaving the competition behind in the last furlong.

Post-Race Analysis

Key Takeaways

• Strong Performances: Several horses demonstrated exceptional speed and stamina, particularly in the longer races.
• Surprising Upsets: Some favorites were unexpectedly beaten, adding excitement to the day’s events.
• Jockey Skill: The jockeys’ strategic decisions played a crucial role in several races, particularly in the close finishes.

Top Performers

• Horse A: Consistently strong throughout the day, winning Race 1.
• Horse E: Impressive comeback in Race 2, showcasing resilience.
• Horse G: Dominant performance in Race 3, leading from start to finish.
• Horse K: Narrow victory in Race 4, proving competitive edge.
• Horse M: Powerful finish in Race 5, leaving a lasting impression.

Today’s Belmont Park races provided a thrilling spectacle of speed, strategy, and skill. From early leads to dramatic finishes, each race offered something unique. Stay tuned for more updates and highlights from the world of horse racing!

---

For more detailed insights and future race coverage, be sure to follow our updates and analysis. Happy racing!

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