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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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:
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- Australia: 310⁄8 (50 overs)
- Result: India won by 10 runs
India vs. England - Test Match
1st Test:
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- England: 400⁄10 (110 overs)
- Result: India won by an innings and 50 runs
2nd Test:
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- 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:
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- 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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