cat 2019 solutions slot 1

The Common Admission Test (CAT) is one of the most competitive entrance exams in India, primarily used for admission to various management programs. The CAT 2019 exam was divided into two slots, and this article focuses on the solutions for Slot 1. Understanding the solutions can help aspirants prepare better for future exams and improve their problem-solving skills. Quantitative Aptitude Question 1: Arithmetic Progression Problem: Find the sum of the first 20 terms of an arithmetic progression where the first term is 5 and the common difference is 3.

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cat 2019 solutions slot 1

The Common Admission Test (CAT) is one of the most competitive entrance exams in India, primarily used for admission to various management programs. The CAT 2019 exam was divided into two slots, and this article focuses on the solutions for Slot 1. Understanding the solutions can help aspirants prepare better for future exams and improve their problem-solving skills.

Quantitative Aptitude

Question 1: Arithmetic Progression

Problem: Find the sum of the first 20 terms of an 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

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 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 is drawn from a point P outside the circle, touching the circle at point Q. If PQ = 24 cm, find the distance OP.

Solution:

• Radius (OQ) = 7 cm
• Tangent (PQ) = 24 cm

Using the Pythagorean theorem in triangle OPQ: [ OP^2 = OQ^2 + PQ^2 ] [ OP^2 = 7^2 + 24^2 ] [ OP^2 = 49 + 576 ] [ OP^2 = 625 ] [ OP = \sqrt{625} ] [ OP = 25 \text{ cm} ]

Data Interpretation and Logical Reasoning

Question 1: Data Interpretation

Problem: The table below shows the sales of five different products over three months. Calculate the total sales for each product.

Product	January	February	March
A	100	150	200
B	120	130	140
C	110	115	120
D	90	100	105
E	80	90	100

Solution:

• Total sales for Product A: 100 + 150 + 200 = 450
• Total sales for Product B: 120 + 130 + 140 = 390
• Total sales for Product C: 110 + 115 + 120 = 345
• Total sales for Product D: 90 + 100 + 105 = 295
• Total sales for Product E: 80 + 90 + 100 = 270

Question 2: Logical Reasoning

Problem: If all roses are flowers and some flowers are red, can we conclude that some roses are red?

Solution:

• All roses are flowers (Premise 1)
• Some flowers are red (Premise 2)

From Premise 1, we know that roses are a subset of flowers. From Premise 2, we know that there are some red flowers. However, we cannot definitively conclude that some roses are red because the red flowers could be of a different type. Therefore, the answer is cannot be determined.

Verbal Ability

Question 1: Reading Comprehension

Problem: Read the passage and answer the question: “What is the main idea of the passage?”

Solution:

• Read the passage carefully.
• Identify the key points and themes.
• The main idea is the central theme or the overarching message of the passage.

Question 2: Sentence Correction

Problem: Correct the following sentence: “She don’t like to eat vegetables.”

Solution:

• Identify the grammatical error: “don’t” should be “doesn’t” to agree with the singular subject “she.”
• Correct sentence: “She doesn’t like to eat vegetables.”

Understanding the solutions for CAT 2019 Slot 1 can provide valuable insights into the types of questions asked and the strategies needed to solve them. By practicing similar problems and reviewing solutions, aspirants can enhance their preparation and improve their chances of success in the CAT exam.

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Staying updated with the latest cricket scores is essential for any cricket enthusiast. If you’re looking for the India score table today, you’ve come to the right place. This article will provide you with all the necessary information to keep track of India’s performance in various cricket matches.

Key Matches Today

Here are some of the key matches involving India that you might want to keep an eye on:

• India vs. Australia - ODI Series
• India vs. England - Test Match
• India vs. South Africa - T20 Series

India Score Table Overview

India vs. Australia - ODI Series

• Match 1:

  • India: ³⁰⁰⁄₅ (50 overs)
  • Australia: ²⁸⁰⁄₉ (50 overs)
  • Result: India won by 20 runs

• Match 2:

  • India: ²⁵⁰⁄₈ (50 overs)
  • Australia: ²⁵¹⁄₄ (45 overs)
  • Result: Australia won by 6 wickets

• Match 3:

  • India: ³²⁰⁄₆ (50 overs)
  • Australia: ³¹⁰⁄₈ (50 overs)
  • Result: India won by 10 runs

India vs. England - Test Match

• 1st Test:

  • India: ⁴⁵⁰⁄₁₀ (120 overs)
  • England: ⁴⁰⁰⁄₁₀ (110 overs)
  • Result: India won by an innings and 50 runs

• 2nd Test:

  • India: ⁵⁰⁰⁄₁₀ (130 overs)
  • England: ⁴⁵⁰⁄₁₀ (120 overs)
  • Result: India won by an innings and 50 runs

India vs. South Africa - T20 Series

• Match 1:

  • India: ¹⁸⁰⁄₄ (20 overs)
  • South Africa: ¹⁷⁰⁄₈ (20 overs)
  • Result: India won by 10 runs

• Match 2:

  • India: ²⁰⁰⁄₅ (20 overs)
  • South Africa: ²⁰¹⁄₃ (19 overs)
  • Result: South Africa won by 7 wickets

• Match 3:

  • India: ¹⁹⁰⁄₆ (20 overs)
  • South Africa: ¹⁸⁰⁄₉ (20 overs)
  • Result: India won by 10 runs

How to Follow Live Scores

If you want to follow the live scores of India’s matches today, here are some reliable sources:

• Cricbuzz: A popular website for live cricket scores and updates.
• ESPN Cricinfo: Provides comprehensive coverage of cricket matches, including live scores.
• Star Sports: The official broadcaster for many cricket matches in India, offering live telecasts and updates.

Staying informed about the India score table today is crucial for any cricket fan. Whether it’s an ODI series, Test match, or T20 series, keeping track of the latest scores and results will ensure you don’t miss out on any exciting cricket action. Use the sources mentioned above to get real-time updates and enjoy the game!

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