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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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.
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