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MBA Entrance Exam Syllabus - CAT, MAT, XAT, CMAT, SNAP, NMAT

MBA Entrance Exam Syllabus - CAT, MAT, XAT, CMAT, SNAP, NMAT

Edited By Anusha Bhalotia | Updated on Jan 18, 2024 02:36 PM IST | #CAT

MBA entrance exam syllabus 2024- MBA (Master of Business Administration) is one of the most pursued courses in India and is the first choice of many graduates. However, gaining admission into a top business school requires acing the MBA entrance exams. To prepare for these entrances, candidates must cover all the topics listed in the MBA entrance exam syllabus. This article covers the MBA entrance syllabus and important topics for renowned exams like CAT syllabus, CMAT exam syllabus, XAT syllabus, MAT syllabus, NMAT exam syllabus, ATMA syllabus etc.

MBA aspirants can increase their chances of getting into the top business schools by preparing with the MBA entrance test syllabus. These entrance exams are regularly conducted at various levels throughout the year. Candidates can refer to the below-mentioned MBA entrance syllabus for some of the most renowned National, State and Institutional level MBA examinations.

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MBA Entrance CAT Syllabus

The CAT exam is one of the most sought-after entrance exams for MBA aspirants in India. It evaluates candidates on three crucial sections mentioned below along with the important CAT MBA syllabus topics.

Section

Topics

Verbal and Reading Comprehension (VARC)

  • Verbal Ability
  • English Usage or Grammar
  • Close Passage
  • Synonyms Antonyms
  • Facts-inferences-judgments
  • Jumbled Paragraph
  • Reading Comprehension
  • Verbal Reasoning

Data Interpretation & Logical Reasoning (DILR)

  • Caselets
  • Blood Relations
  • Calendars
  • Bar Graphs
  • Column Graphs
  • Tables
  • Cubes
  • Clocks
  • Binary Logic
  • Line Charts
  • Combination of two or more types linked to each other
  • Syllogism
  • Venn Diagrams
  • Pie Chart
  • Number and Letter Series
  • Seating Arrangement

Quantitative Aptitude (QA)

  • Algebra
  • Higher Maths
  • Geometry
  • Trigonometry
  • Mensuration
  • Arithmetic

Also Check: CAT preparation tips with 30-day study material by Experts

CMAT Exam Syllabus For MBA

This section covers the MBA entrance exam syllabus of CMAT. Candidates can refer to the below-mentioned most essential topics of the CMAT syllabus for MBA.

Sections

Topics

Quantitative Techniques and Data Interpretation

  • Tabulation, Pie Chart, Bar Chart, Line Graph
  • Probability
  • Quadratic and linear equations
  • Graph
  • Simple Interest and Compound Interest
  • Percentages
  • Averages
  • Geometry
  • Profit and Loss
  • Mensuration
  • Ratios and Proportion
  • Fraction and Decimals
  • Work and Time
  • Time-Speed-Distance
  • Number Systems
  • In-equations
  • Allegation & Mixtures
  • Partnership
  • Algebra
  • Permutations & Combinations
  • Pipes and Cisterns

Logical Reasoning

  • Analytical Reasoning
  • Cause and Effects
  • Non-Verbal Reasoning
  • Linear Arrangements
  • Analogy Test
  • Symbol Based Problems
  • Statements Arguments
  • Blood Relationship Tests
  • Direction and Distance Test
  • Statements and Conclusion
  • Number Series
  • Statements Assumptions
  • Inferences
  • Matrix Arrangements
  • Ranking Tests
  • Coding and Decoding
  • Sequencing

Language Comprehension

  • English Grammar
  • Paragraph Completion
  • Sentence Improvement
  • English Usage Errors
  • Synonyms and Antonyms
  • Reading Comprehension
  • One-word Substitution
  • Jumbled Para
  • Idioms and Phrases
  • Sentence Correction

CMAT General Awareness Syllabus

  • Literature
  • Current Affairs of National and International Economy
  • History
  • Sports News
  • Science in everyday life
  • Politics
  • Geography
  • Culture
  • Economics
  • Trade Awareness
  • Personalities in News
  • Indian Constitution

Also Read: How to Prepare for CMAT in 3 Months

XAT Exam Syllabus

XAT Entrance exam for MBA syllabus comprises of three sections after which candidates appear for essay writing which is considered while shortlisting candidates. The XAT MBA Syllabus for each section is given below in a table format:

Section

Topics

Verbal and Logical Ability

  • Analogy-Based on Vocabulary
  • Fill in the blanks
  • Critical Reasoning/ Inference
  • Sentence Correction
  • Reading Comprehension
  • Para Jumble
  • Vocabulary
  • Para Completion
  • Grammar
  • Pronunciation
  • Poem
  • Paragraph Formation Questions
  • Cloze Test, etc.

Decision-Making

  • Situational
  • Arithmetic
  • Analytical Reasoning etc.

Quantitative Ability and Data Interpretation

  • Algebra
  • Arithmetic
  • Data Analysis and Interpretation
  • Geometry
  • Percentage
  • Table
  • Venn Diagram
  • Time & Work
  • Bar Charts
  • Polynomials
  • Profit and Loss
  • Data Sufficiency
  • Progressions
  • Time and Distance
  • Scatter Plots
  • Numbers
  • Equations
  • Functions & Graphs
  • Trigonometry
  • Probability
  • Permutation & Combination
  • Mensuration

Essay Writing

Also Check: XAT Section-Wise Preparation Tips

SNAP Syllabus for MBA

In the table given below, the candidates can check the topics in the SNAP syllabus for the MBA entrance exam. Check the following table to know more about the same SNAP MBA Syllabus.

Section

Topics

Quantitative, Data Interpretation & Data Sufficiency

Algebra, Geometry, Ratio and Proportion, Percentages, Partnership, Trigonometry, Time-Speed-Distance, Data Interpretation

Analytical and Logical Reasoning

Pie Chart, Coding and Decoding, Column Graphs, Puzzles

General English (Reading Comprehension, Verbal Reasoning, Verbal Ability)

Syllogisms, Passages, Analogies, Grammar, Antonym-Synonym, Similar Sounding Words, Para jumbles, One Word Substitution, Fill in the Blanks

Also Check: SNAP Sample Paper, SNAP Preparation Course & Study Material

MAT MBA Syllabus

MAT MBA entrance syllabus comprises of five sections. Candidates must be aware of the MAT MBA entrance exam syllabus. The MAT MBA syllabus for each section is given below in the table.

Section

Topics

English Language

  • Fill in the blanks
  • Idioms
  • Synonyms and Antonyms
  • Odd one out
  • Jumbled words and sentences
  • Para Jumbles
  • Sentence correction

Mathematics

  • Partnerships
  • Profit and Loss
  • Ration
  • Percentages
  • Time and work
  • Time-speed and distance
  • Profit and loss
  • Averages

Intelligence and Critical Reasoning

  • Statement-Conclusion
  • Analogy
  • Series
  • Assertion Reason
  • Coding and Decoding
  • Family Tree/ Revelation
  • Analytical Reasoning
  • Directions
  • Cause and Effect

Indian and Global Environment

  • Entertainment
  • Business Awareness
  • Sports
  • Politics
  • Social Issues

Data Analysis and Sufficiency

  • Bar graph
  • Caselet
  • Line graph
  • Pie chart
  • Data Sufficiency
  • Mixed charts and graphs
  • Table
  • Data Comparison

Also Check: MAT Preparation Tips, Study Material, Sample Paper & Mock Test

ATMA MBA Syllabus

The table covers subject for MBA entrance exam syllabus for ATMA that an MBA aspirant must prepare. Candidates can check the below mentioned sectional ATMA MBA syllabus.

Section

Topics

Analytical Reasoning

Linear Arrangements, Circular Arrangements, Blood Relationship Tests, Number Series, Family Trees, etc.

Verbal Skills

Reading Comprehension, Para jumbles, Grammar, English Usage Errors, etc.

Quantitative Skills

Algebra, Geometry, Graph, Quadratic and Linear Equations, Time-Speed-Distance, Number Systems, etc.

NMAT Syllabus for MBA

This section covers the MBA entrance exam syllabus of NMAT. Candidates can refer to the below-mentioned most essential topics of the NMAT syllabus for MBA.

Section

Topics

NMAT Language Skills important topics

  • Reading Comprehension
  • Para Forming
  • Error Identification Prepositions
  • Sentence Completion
  • Analogies

NMAT exam 2023: Quantitative Skills topics

  • Number Properties
  • Arithmetic
  • Algebra and Probability
  • DI Caselets and Tables
  • DI Graphs and Charts
  • Data Sufficiency
  • Profit, Loss, and Discount
  • Time and Work
  • TSD
  • Permutations and Combinations
  • AP/GP
  • Quadratic Equations

Logical Reasoning section of NMAT 2023

  • Critical Reasoning
  • Analytical Puzzles
  • Deductions
  • Other Reasoning

Also Read:

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IBSAT Syllabus for MBA

This section covers the IBSAT entrance exam for MBA syllabus. Candidates can refer to the below-mentioned most essential topics of the IBSAT syllabus for MBA in the table.

Section

Topics

Verbal Ability

  • Syntax of Vocabulary Usage
  • Usage of Parts of speech; tenses; conditional
  • Sentence Correction and Usage
  • Jumbled Sentences
  • Use the appropriate words
  • Sentence Completion
  • Spot the Errors
  • Use of Antonyms; Synonyms and idioms
  • Cloze Test
  • Phrasal Verbs
  • Corrections of grammatical errors
  • Reading Comprehension passages
  • Fill in the blanks

Quantitative Ability

  • Permutations and Combinations
  • Algebra
  • Trigonometry
  • Bar graph
  • Solid Geometry
  • Mensuration
  • 2D and 3D Geometry
  • Statistics
  • Line graph
  • Probability
  • Coordinate Geometry
  • Modem maths
  • Pie chart
  • Mixture & Solution / Allegations
  • Average
  • Number Systems
  • Percentage
  • Interest
  • Profit & Loss
  • Time & Work
  • Man days & works
  • Ratio & Proportion

Data Adequacy and Data Interpretation

  • Linear arrangement
  • Cause and Effect
  • Matrix arrangement
  • Statements and Conclusion
  • Venn diagrams
  • Line chart & Pie chart
  • Functions
  • Graphs representing area
  • Identifying the next number of series
  • Sequencing
  • Assertion & Reasons
  • Symbol-based problems
  • Critical Reasoning
  • Course of Actions
  • Puzzles
  • Coding and Decoding
  • Syllogisms
  • Family tree

Reading Comprehension

This section will contain a passage in which a total of 30 questions will be asked

Also Read:

CAT 2024 Syllabus PDF (Free Download)
This CAT exam 2024 syllabus pdf has detailed section-wise and subject-wise syllabus and important topics of CAT.
Download Now

MAH MBA CET Exam Syllabus

The MAH MBA CET exam is one of the top exams and candidates must know the MAH CET MBA entrance test syllabus. MHT CET MBA syllabus is similar to that of other CET exams. It evaluates candidates on three crucial sections mentioned below along with the important MAH MBA CET syllabus topics.

Section

Topics

Verbal Ability & Reading Comprehension

  • Antonyms
  • Comprehension of passages
  • Fill in the blanks
  • Grammar
  • Vocabulary
  • Para Jumbles
  • Synonyms
  • Sentence completion
  • Sentence arrangement
  • Sentence Correction
  • Spelling/Inappropriate usage
  • Phrase replacement
  • Odd Sentence Para Jumble
  • Verbal Reasoning

Logical/Abstract Ability

  • Symbol-based Comparison
  • Linear and Circular Arrangement
  • Direction
  • Sequential Output
  • Series Completion
  • Conditional Coding
  • Selection Criteria
  • Venn Diagram
  • Verbal Ability
  • Input/Output
  • Blood Relations
  • Coding/Decoding
  • Syllogisms

Quantitative Aptitude

  • Arithmetic
  • Algebra
  • Geometry
  • Mensuration
  • Probability
  • Ratio & Proportion
  • Numbers
  • Percentage
  • Quantitative Reasoning
  • Data Sufficiency
  • Data Interpretation - Graphs, Charts, Tables

Also Read: MAH CET MBA Exam Preparation Tips

TANCET MBA Entrance Exam Syllabus

This section covers the subject wise MBA entrance test syllabus of TANCET. Candidates can refer to the below-mentioned most essential topics of the TANCET syllabus for MBA.

Section

Topics

Reading Comprehension

  • Business
  • Technology
  • Sports
  • History
  • Politics
  • Geography
  • Environment
  • Medicine
  • Economics

Problem-Solving

  • Binomial Theorem
  • Complex Numbers
  • Logarithm
  • Compound Interest
  • Mensuration
  • LCM and HCF Linear Equations
  • Percentages
  • Simple Interest
  • Speed, Time and Distance
  • Quadratic Equations
  • Surds and Indices
  • Averages
  • Functions and Graphs
  • Progression
  • Mixtures
  • Permutation and Combination
  • Probability
  • Discount
  • Allegations
  • Inequalities
  • Ratio and Proportion
  • Trigonometry
  • Time and Work
  • Number Systems
  • Profit and Loss
  • Geometry(focus on Triangles)Set Theory

Verbal Ability

  • Sentence correction
  • Parts of speech
  • Exceptions in English grammar
  • Error correction
  • Synonyms and Antonyms

Analysis of Business Situation

  • This section will assess the business perspective of the candidates
  • Passages of 300 words each will be asked and will include 20-30 questions based on business

Data Sufficiency

  • Basic mathematics will be asked and it is data-centric
  • It includes the questions with two statements, in which students will have to derive a conclusion based on the set of options provided

Also Read: TANCET Section-wise Preparation Plan - Know Tips to Crack Exam

Karnataka PGCET MBA Entrance Exam Syllabus

Karnataka PGCET Entrance exam for MBA syllabus comprises four sections. The PGCET syllabus for MBA for each section is given below in a table format:

Section

Topics

Proficiency in English Language

  • Antonyms & Synonyms
  • Idioms and Phrases
  • Sentence Correction
  • Grammar & One-word Substitution
  • Pairs expressing relationships
  • Famous Books in English Literature

General Knowledge

  • Global Environment
  • Current Affairs & Economics
  • Indian Business Environment
  • Sports, Social, and Cultural Events
  • Management & Awards
  • Humanities & Political Events
  • Science and Technology
  • Personalities and Achievements

Reasoning and General Intelligence

  • Diagrams & Analogy
  • Logic
  • Puzzles
  • Verbal Ability
  • Related Aspects & Analytical Ability

Quantitative Analysis

  • Statistics
  • Arithmetic
  • Related Quantitative Aspects
  • Data Analysis and Interpretation

Also Read: Top Colleges in India Accepting Karnataka PGCET

OJEE MBA Entrance Syllabus

In the table given below, the candidates can check the topics in the syllabus for the entrance exam for MBA from where the questions will be asked in OJEE MBA. Check the following table to know more about the same OJEE MBA syllabus.

Section

Topics

Verbal Reasoning & Comprehension

  • Vocabulary
  • Fill in the Blanks
  • Reasoning
  • Grammar
  • Odd One Out

Analytical & Logical Reasoning

  • Mathematics
  • Time & Distance
  • Mensuration
  • Trigonometry
  • Geometry
  • Algebra
  • Ratio & Proportion

General Awareness & Business Fundamentals

  • Politics
  • Sports
  • History
  • Nation and States
  • Literature
  • Geography
  • Business

Quantitative Techniques

  • Arithmetic
  • Geometry
  • Percentage
  • Average
  • Number systems
  • Profit and Loss
  • Ratio and Proportion
  • Time, speed and distance
  • Mensuration
  • Quadratic equation
  • Trigonometry
  • Probability

Also Read: OJEE MBA Exam Pattern

KMAT Syllabus for MBA Entrance Exam

This section covers the subject wise MBA entrance exam syllabus of KMAT. Candidates can refer to the below-mentioned most essential topics of the KMAT syllabus for MBA.

Section

Topics

Verbal Ability and Reading Comprehension

  • Vocabulary
  • Grammar
  • Synonyms
  • Antonyms
  • Sentence Completion
  • Comprehension

Quantitative Ability

  • Arithmetic problems
  • Numerical calculation
  • Geometry
  • Algebra
  • Quantitative Reasoning
  • Trigonometry
  • Common graphs
  • Interpretation of tables
  • Charts

Logical and Abstract Reasoning

  • Analogy
  • Verbal Reasoning

Also Read: MBA Colleges in India Accepting KMAT

IPU CET MBA Entrance Syllabus

This section covers the syllabus for entrance exam for MBA of IPU CET. Candidates can refer to the below-mentioned most essential topics of the IPU CET MBA Syllabus.

Section

Topics

Verbal Ability & Reading Comprehension (VARC)

  • Critical Reasoning
  • Grammar and Usage
  • Sentence Correction
  • Para Jumble
  • Fill Ups
  • Word Usage
  • Para Completion
  • Idioms
  • Para Summary

Data Interpretation & Logical Reasoning (DI & LR)

  • Bar Graph
  • Line Graph
  • Pie Chart
  • Tables
  • Caselets
  • Combination of Graphs
  • Data Sufficiency
  • Games & Tournaments

Quantitative Aptitude (QA)


  • Arithematic
  • Mensuration
  • Algebra
  • Calculus
  • Geometry
  • Trigonometry

Also Read: IPU CET MBA Admissions

LPUNEST MBA Syllabus

LPUNEST MBA entrance syllabus comprises of three sections. The LPUNEST MBA syllabus for each section is given below in a table format:

Section

Topics

English

  • Synonyms
  • One word substitution
  • Word Analogies
  • Idioms and Phrases
  • Sentence Correction
  • Error finding Exercises
  • Comprehension Passages
  • Para jumbles

General Awareness

  • Science Invention and Discoveries
  • Indian History
  • Indian Politics
  • Indian Economy
  • Sports Events
  • Who is Who
  • Financial and Economic News
  • International and National Legal Development
  • Important Days and Weeks
  • Abbreviations
  • Current National and International affairs
  • Organization
  • Awards and Honours
  • Books and Authors

General Aptitude

  • Non verbal reasoning
  • Data sufficiency
  • Cubes and dice
  • Syllogism
  • Arithmetical Reasoning
  • Series completion and coding-decoding and alphabet test
  • Ranking and Time sequence test
  • Time and Distance
  • Boats and streams
  • Time and work
  • Pipes and Cistern
  • Area
  • Numbers
  • Percentage
  • Profit, Loss and Discount
  • Ratio and Proportion
  • Simple and Compound interest
  • Permutation and Combination
  • Probability
  • Calendar and clocks
  • Races and games

Also Read: LPU NEST MBA Exam

IMU CET Syllabus for MBA

This section covers the subject wise MBA entrance exam syllabus of IMU CET. Candidates can refer to the below-mentioned most essential topics of the IMU CET Syllabus for MBA.

Section

Topics

Quantitative ability

  • Algebra
  • Averages
  • Geometry
  • linear equations
  • Mensuration
  • Number systems
  • Percentages
  • permutation combination
  • Probability
  • profit and loss
  • time and work
  • Trigonometry

Data Interpretation

  • Analysis of data based on text
  • Charts
  • Graphs
  • Tables
  • Venn diagram

Verbal ability

  • Analogies
  • Anonyms and Synonyms
  • Fill in the blanks
  • Idioms
  • Reading Comprehension
  • Sentence correction
  • Syllogisms
  • Verbal Reasoning

Logical Reasoning

  • Assumption
  • Blood relations
  • Calendars
  • Clocks
  • Conclusion
  • Linear
  • Logical sequence
  • Matrix arrangement
  • Premise Binary logic
  • Seating arrangement

Also Read: IMU CET Exam Pattern and Syllabus

Mastering the MBA entrance exams requires a strategic approach. By thoroughly understanding the MBA entrance exam syllabus for each exam, candidates can focus their preparation efforts effectively. Candidates must diligently study and practice for their exams with the given syllabus for entrance exam for MBA aspirants. MBA students can increase their chances of securing admission into the top business schools by preparing these most essential topics of the MBA entrance test syllabus covered in this article.

Frequently Asked Question (FAQs)

1. What is syllabus for MBA entrance?

The MBA entrance exam syllabus consists of these main topics on which the candidates must focus:  Quantitative Aptitude, Analytical Reasoning, Verbal Ability, Logical Reasoning, Data Interpretation, Reading Comprehension, Vocabulary, Grammar and  General Awareness.

2. How to start preparing for MBA entrance exam?

To prepare for the MBA entrance exam it is important to focus on key topics of the exam and prepare them thoroughly. They can refer to the MBA entrance test syllabus and make their study plan accordingly, covering each and every section.

3. What is the syllabus of CAT MBA 2024?

Candidates must focus on topics such as Verbal and Reading Comprehension (VARC), Data Interpretation & Logical Reasoning (DILR), Quantitative Aptitude (QA) covered in the CAT Syllabus 2024.

4. Which is the easiest MBA entrance exam?

Some exams like NMAT and SNAP have relatively lower levels of difficulty as compared to other exams like CAT and XAT. It is important to research about MBA entrance syllabus and analyse the MBA exam pattern to prepare well for any MBA entrance exam.

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Questions related to CAT

Have a question related to CAT ?

Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability

  • Arithmetic

  • Algebra

  • Geometry and Mensuration

  • Number System

  • Modern Math

It seems unlikely that you would be able to get admission in the BTech CS branch at BIT Sindri or Mesra with a CML rank of 2058 and category rank of 433.

Key points:

1. The search results indicate that a CML (Common Merit List) rank of 2058 is quite low for admission to premier engineering colleges like BIT Sindri or NIT Mesra.

2. The cutoff ranks for BTech CS branch at these institutes are usually much higher, often in the range of 1000-2000 for the general category.

3. With a category rank of 433, you may have a better chance of getting admission in the reserved category quota, but the competition is still quite high.

4. The search results do not provide specific cutoff details for BIT Sindri or NIT Mesra, but the general trend suggests your current ranks may not be sufficient for the CS branch in these institutes.

My advice would be to:

1. Check the latest cutoff ranks and admission criteria on the official websites of BIT Sindri and NIT Mesra.

2. Explore other options like state-level engineering colleges or NITs where your current ranks may have a better chance of securing admission.

3. Consider improving your performance in the next attempt of the entrance exam to increase your chances of getting into your desired BTech program.



For VARC, read daily from diverse sources (newspapers, novels, journals) to improve comprehension and vocabulary. Practice RC passages and verbal ability questions regularly. For DILR (Data Interpretation and Logical Reasoning) and QA (Quantitative Aptitude), solve previous years' papers and take mock tests to identify weak areas. Join a coaching institute or online courses for guidance and stay consistent with your study schedule. Review and analyze your performance in mocks to understand mistakes and improve. Maintain a positive mindset and stay disciplined in your preparation.

Hello aspirant,

Every year, IIMs conduct the Common Admission Test (CAT), a national MBA entrance exam, in rotation. For admission to over 1,200 institutions and premier B-schools in India, as well as PGDM, Executive MBA, PhD, and FPM programmes, the IIM CAT exam is regarded as one of the most difficult MBA entrance exams to pass. One of the best MBA schools in India, IIMs offers PGDM and MBA programmes for students who pass the CAT exam with scores in the 82nd to 99th percentiles.

For complete information you can visit our website by clicking on the link given below.

https://bschool-careers360-com.cdn.ampproject.org/v/s/bschool.careers360.com/exams/cat/amp?amp_gsa=1&amp_js_v=a9&usqp=mq331AQIUAKwASCAAgM%3D#amp_tf=From%20%251%24s&aoh=17204523672625&csi=1&referrer=https%3A%2F%2Fwww.google.com&ampshare=https%3A%2F%2Fbschool.careers360.com%2Fexams%2Fcat

Thank you

Hope this information helps you.

Hello!

The educational qualification required for CAT exam is bachelor's degree or its equivalent from a recognized university with minimum of 50% for the open category and 45% for the SC/ST/PwD category. Since you have secured more than the required percentage in your bachelor's degree, you are eligible for CAT exam.

For more information, please visit the website by clicking on the link given below:

https://bschool.careers360.com/articles/cat-eligibility-criteria

I hope you will find this information helpful. Best wishes ahead!

View All

1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What best can be said about the number of satellites serving C? 

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What is the minimum possible number of satellites serving B exclusively? 

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

 If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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