Data Sufficiency in Logical Reasoning Last Updated : 28 May, 2025 Comments Improve Suggest changes Like Article Like Report Data Sufficiency in Logical Reasoning is an important topic to prepare for competitive exams in India. It tests the logical, analytical and thinking capacity or ability of a candidate. Candidates need to practice the questions for scoring well in the examinationThe following article contains various kinds of Data Sufficiency Questions. Candidates must go through the article to practice all the important questions of the topic.Tips and Tricks to Solve Data Sufficiency Questions1. Read the entire question carefully before attempting it. Then go through the options to find the correct answer.2. Use the information given in the question and avoid making any assumptions.3. Both the statements must be carefully read and then a make a conclusion.4. Avoid any kind of confusion and answer the question.Data Sufficiency Questions and AnswersGiven below is a question and a set of statements. We have to find which of the given statements is required to reach the conclusion.Q1. Who is the tallest among the brothers A, B, C, and D?Statements:1. C is shorter than only B.2. D is taller than only A.Options:I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both Statement 1 and Statement 2 together are sufficient IV) Both Statement 1 and Statement 2 even together are not sufficientSolution:Considering Statement 1: "C is shorter than only B" means that B is taller than C and all other brothers, making B the tallest. Therefore, Statement 1 alone is sufficient to determine the tallest brother.Considering Statement 2: "D is taller than only A" implies that D is the second shortest, and A is the shortest of all the brothers. However, this statement alone does not provide enough information about who the tallest is among B and C, so Statement 2 alone is not sufficient.Conclusion:Statement 1 alone is sufficient to answer the question, so the correct answer is I) Statement 1 alone is sufficientQ2. What is the value of 'x' Statement 1 : x2 + x - 6 = 0 Statement 2 : x ≥ 0 I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficient Solution : If we consider statement 1 alone, we have x2 + x - 6 = 0 => x2 + 3x - 2x - 6 = 0 => (x + 3) (x - 2) = 0 => x = -3, 2 If we consider statement 2 alone, we have x ≥ 0 Combining the two statements, we can safely say that x = 2 Therefore, both statement 1 and statement 2 together are sufficient but neither alone is sufficient. Q3. What is the sum of the ages of John and Peter? Statement 1: John is 5 years older than Peter. Statement 2: The average of their ages is 25.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: II) Statement 2 alone is sufficient Q4. What is the value of x in the equation x^2 + 6x + 9 = 0? Statement 1: x = -3 Statement 2: The discriminant of the equation is zero.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: III) Both statement 1 and statement 2 together are sufficientQ5. Is triangle ABC an equilateral triangle? Statement 1: The length of AB is equal to the length of AC. Statement 2: The length of BC is equal to twice the length of AB.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficientIV) Both statement 1 and statement 2 even together are not sufficientAnswer: IV) Both statement 1 and statement 2 even together are not sufficientQ6. What is the value of x in the equation 2x + 5 = 11? Statement 1: x = 3 Statement 2: x is a prime number.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: I) Statement 1 alone is sufficientQ7. How much did Mr. Smith spend on his vacation? Statement 1: Mr. Smith spent $500 on his flight ticket. Statement 2: Mr. Smith spent $800 on his hotel stay.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: III) Both statement 1 and statement 2 together are sufficientQ8. Is the given rectangle a square? Statement 1: The length of each side of the rectangle is 8 cmStatement 2: The diagonals of the rectangle are equal in length.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: I) Statement 1 alone is sufficient Q9. What is the sum of the angles of a triangle? Statement 1: One of the angles of the triangle is 60 degrees. Statement 2: The triangle is an equilateral triangle.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: II) Statement 2 alone is sufficientQ10. What is the total number of students in a class? Statement 1: There are 20 boys in the class. Statement 2: The ratio of girls to boys in the class is 2:5.I) Statement 1 alone is sufficient II) Statement 2 alone is sufficient III) Both statement 1 and statement 2 together are sufficient IV) Both statement 1 and statement 2 even together are not sufficientAnswer: III) Both statement 1 and statement 2 together are sufficient Comment More infoAdvertise with us Next Article Mirror Image: Verbal Reasoning K kartik Follow Improve Article Tags : Aptitude Similar Reads Aptitude Questions and Answers Aptitude questions can be challenging, but with the right preparation and practice, you can tackle them with ease. Our comprehensive guide to aptitude questions and answers covers all the essential topics of Aptitude, including Quantitative Aptitude, Logical Reasoning, and Verbal Ability. Whether yo 3 min read Quantitative AptitudeWhat are Numbers?Numbers are symbols we use to count, measure, and describe things. 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In the following article, we are go 8 min read Definite and Indefinite Articles ( A, An, The)Definite and Indefinite Articles ( A, An, The)Table of ContentWhat is an Article? Definite and Indefinite ArticlesWhat are Definite Articles?What are Indefinite Articles?Definite and Indefinite Articles ExamplesDifference Between Definite and Indefinite Articles Definite and Indefinite Articles Ques 9 min read Adjective - Definition, List, Types, Uses and ExamplesWhen we discuss Adjectives, it means those words which well describe a Noun or a Place, Person, Thing, or Idea. An adjective is the only word that can create a major difference between the two.Let's discuss this topic in detail and also bookmark it to get back to the article whenever we want to revi 7 min read Data InterpretationData Interpretation - Aptitude Questions and AnswersData interpretation questions are an essential part of the Quantitative Aptitude section. Data Interpretation questions require the ability to analyze and interpret different forms of data, including tables, graphs, charts, and more. With a focus on percentage, ratio and proportion, data interpretat 8 min read Misc15 Most Important Aptitude Topics For Placements [2025]If you are a student and getting ready for off-campus or on-campus placement, then working on aptitude is quite essential. In many colleges, companies like TCS, Infosys, Capgemini, and Accenture sort students through the mass-hiring process on the basis of aptitude tests. Also, if you are going for 7 min read How to Prepare for Aptitude Test for Campus PlacementsAptitude Tests are used by many recruiters around the world. Their purpose is to test technical skills, attitudes, and soft skills related to the search for a figure to be included in the company. Beyond specific professional skills, Aptitude tests are generally designed to assess a candidate's logi 8 min read Like