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Introduction to Quantitative Reasoning With Solved Examples
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This lesson explains the basics of quantitative reasoning with examples to train your mind to think critically as required.

## Riya Agarwal is teaching live on Unacademy Plus

U
dear sir can u please change the background
AS
ma'am can you please explain question no. 5
question 4 96/x + 4 = 96/x-4 meaning
mam how u have solved 96/x +4 =96/x-4 in a single step?
first take 96/x and 96/x-4 on one side, take 96 common and then take LCM, as shown, a quadratic equation will be formed giving 2 values of x as +12 and -8, value of x can't be negative so +12 is the solution for x
1. Logical Reasoning Quantitative Reasoning INTRODUCTION

2. About Me . I hold a B.E degree in Electronics and Communication Engineering. , CAT, 17: DI & LR-98.29 %ile. I would take you through the DI & LR lessons for CAT . Not all are born Einstein's but trust me with hard work and dedication we can together make it possible

3. What is Quantitative Reasoning? Quantitative reasoning, as the name itself suggests, is reasoning involving numbers and Disciplinary Context/ Math numerical logic. Real World QR Quantitative reasoning questions are common in all kinds of aptitude exams and require the student to work out numerical relationships as defined by the parameters in the problem Critical Thinking

4. Key Skills Involved (G) The ability to understand the specific quantitative logic being utilised inside (ii) The ability to order the clues in the correct order of usage (as explained in (ii)The ability to understand basic mathematical concepts like percentages, (iv)The ability to create symbolic representations of the various clues provided the questions. the theory of logical reasoning). averages, ratios. multiplications, etc. so that you can bring together each of the relevant clues while creating the teams. n from indirect clues.

5. Examples: 1. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago? A. 71 years B. 72 years C. 74 years D. 77 years Workspace:

6. Solution: 1. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago? A. 71 years B. 72 years C. 74 years D. 77 years Workspace: Required sum (80- (3 x 3)) years (80-9) years = 71 years. Answer: Option A

7. Examples: Q2. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A? A. Rs. 4, Rs. 23 B. Rs. 13, Rs. 17 C. Rs. 15, Rs. 14 D. Rs. 17, Rs. 13 Workspace:

8. Solution: Q2. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A? A. Rs. 4, Rs. 23 B. Rs. 13, Rs. 17 C. Rs. 15, Rs. 14 D. Rs. 17, Rs. 13 Workspace: Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A. Then, 2x 3y 77...G) and 3x + 2y = 73 (ii) Multiplying (G) by 3 and (ii) by 2 and subtracting, we get: 5y Putting y = 17 in (i), we get: x = 13. 85 or y 17. Answer: Option B.

9. Examples: Q3. An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same What fraction of the total number of students took part in the fete? B. 13/40 C. Data inadequate D. None of these Workspace:

10. Solution: Q3. An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same What fraction of the total number of students took part in the fete? B. 13/40 C. Data inadequate D. None of these Workspace: -(1/5) + (1/8)= 13/40 But, the answer will be Data Inadequate, since the total number of students are not given, we can't calculate the fraction of total students who took part in the fete. Answer: Option C