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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1. 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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