Part 6 - Important Practice Questions

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. General Intelligence & Reasoning: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Analogy, Blood Relations, Data Sufficiency, Number System, HCF LCM, Selection Decision Table (Decision Making), Logical Sequence Of Words, Directions (Direction Test), Ranking, Order and Sequence, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Puzzle Solving (Puzzles), Data Arrangement, Analytical Reasoning (Counting Figures Reasoning), Cubes & Dices, Calendar, Clock, Arithmetic, Verbal Analogy (Word Based Analogy), Numerical Reasoning, Patterns in Two-Dimensional Figures, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Coding and Decoding, Cubes and Dice, Series Completion, Alphabet and Word Tests, Analogy and Classification, Vocabulary, Mathematical Operations, Direction Sense, Number System, Averages, Mixtures and Alligation, Percentages, Logical Deduction and Induction, Simplification and Approximation, Algebra, Sequences and Series, Powers, Surds and Logarithms, Constraint Puzzles, Critical Reasoning, Order, Ranking and Sequence, Syllogisms and Venn Diagrams, Reading Comprehension, Speed, Time and Distance, Traverse Surveying, Clocks and Calendars, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Seating Arrangements, Permutation and Combination, Combinatorics
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs
  3. Full-Length Mock Tests:
  4. Sectional Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This video is a tutorial on Data Sufficiency, a common format in competitive exams like the GMAT or GRE. The instructor, Yash Jain Sir, begins by introducing the topic and the importance of practice. The core of the video is a detailed walkthrough of a specific Data Sufficiency problem. The question asks whether 3^x is less than 500, given that x is an integer. Two statements are provided: Statement 1 is the inequality 4^(x-1) < 4^x - 120, and Statement 2 is the equation x^2 = 36. The instructor systematically analyzes each statement. For Statement 1, he simplifies the inequality to 4^x > 160, which leads to x > 3. For Statement 2, he solves for x, finding x = 6 or x = -6. He then evaluates the sufficiency of each statement individually and together, concluding that Statement 1 alone is sufficient to answer the question, while Statement 2 is not. The video uses a digital whiteboard for all calculations and explanations.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for 'DATA SUFFICIENCY' and a 'Questions' slide emphasizing the importance of practice. The instructor, Yash Jain Sir, introduces the topic. The main problem is presented on a digital whiteboard: 'Que: If x is an integer, is 3^x less than 500?'. Two statements are listed: 'Statement 1: 4^(x-1) < 4^x - 120' and 'Statement 2: x^2 = 36'. The five multiple-choice options for the Data Sufficiency format are displayed below.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins analyzing the problem. He first focuses on the main question, writing '3^x < 500' on the board. He then evaluates Statement 1: '4^(x-1) < 4^x - 120'. He simplifies this by subtracting 4^(x-1) from both sides, resulting in '4^x - 4^(x-1) > 120'. He factors out 4^(x-1), leading to '4^(x-1) * (4 - 1) > 120', which simplifies to '4^(x-1) * 3 > 120'. Dividing by 3 gives '4^(x-1) > 40'. He then calculates 4^3 = 64, which is greater than 40, so x-1 > 3, meaning x > 4. He then evaluates Statement 2: 'x^2 = 36', which gives x = 6 or x = -6.

  3. 5:00 – 9:26 05:00-09:26

    The instructor now evaluates the sufficiency of the statements. For Statement 1, he concludes x > 4. He then checks if this is sufficient for the main question. He calculates 3^4 = 81, 3^5 = 243, and 3^6 = 729. Since 3^6 = 729 is greater than 500, he determines that x must be less than 6. Therefore, x can be 5, 4, 3, etc. For x=5, 3^5=243<500, which is 'Yes'. For x=6, 3^6=729>500, which is 'No'. Since the answer is not unique, he concludes Statement 1 is not sufficient. For Statement 2, x=6 or x=-6. For x=6, 3^6=729>500, so 'No'. For x=-6, 3^(-6) is a fraction less than 1, so 'Yes'. Since the answer is not unique, Statement 2 is not sufficient. He then considers both statements together, but since Statement 1 is not sufficient, the combination cannot be sufficient. He concludes that the answer is (e) Both statements put together are not sufficient.

The video provides a comprehensive, step-by-step analysis of a Data Sufficiency problem. It demonstrates the core methodology: first, understand the question and the information required. Then, evaluate each statement independently to determine if it provides a unique answer. The instructor correctly identifies that Statement 1 leads to a range of values for x (x > 4) that result in both 'Yes' and 'No' answers to the main question, making it insufficient. Similarly, Statement 2 yields two different values for x, leading to different answers, making it insufficient. The video effectively teaches the process of testing sufficiency by finding counterexamples, which is a key skill for this type of question.

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