The Quantitative Aptitude (QA) section of the Common Admission Test (CAT) is a critical component for aspirants aiming for top-tier management institutes in India. This section assesses a candidate's mathematical proficiency and problem-solving abilities, encompassing topics typically covered up to the Class X level. A thorough understanding of the QA syllabus is essential for effective preparation.
Overview of the CAT QA Section
- Total Questions: 22
- Duration: 40 minutes
- Question Types: Multiple Choice Questions (MCQs) and Type In The Answer (TITA) questions
- Marking Scheme:
- +3 for each correct answer
- -1 for each incorrect MCQ
- No negative marking for TITA questions
Detailed Syllabus Breakdown
The QA section can be categorized into five primary areas:
Arithmetic forms a significant portion of the QA section, focusing on real-world applications. Key topics include:
Algebra questions assess a candidate's ability to manipulate mathematical expressions and understand functions. Important areas include:
This area tests spatial understanding and the ability to calculate measurements. Key topics include:
Understanding geometric principles is vital for tackling questions in this segment.
Number theory forms the backbone of many quantitative problems. Essential topics encompass:
Mastery of number systems aids in solving a variety of quantitative questions.
This segment includes advanced topics that often appear in CAT:
Sample Questions for QA Section
Given below are a few sample questions that will help you get an idea of the type of questions that usually appear in the QA section of the XAT exam.
Sample Question I
If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is
- 56
- 59
- 49
- 46
Sample Question II
An entomologist noticed 15 ants crawling on his table. Exactly 13 of them were male and 2 were female. He noticed that they were crawling on the table in a random order such that no three of them were ever in the same straight line. Suddenly, three of the male ants start following one of the female ants such that, all four of them were in a single line. Then the maximum number of distinct straight lines that the entomologist can draw passing through any two ants is
[1] 56
[2] 44
[3] 105
[4] 100
Sample Question III
A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first 30 employees was Rs. 40000, of the last 30 employees was Rs. 60000, and of the first 10 and last 10 employees together was Rs. 50000. Next year, the average bonus of the first 10 employees increased by 100%, of the last 10 employees increased by 200% and of the remaining employees was unchanged. Then, the average bonus, in rupees, of all the 40 employees together in the year 2023 was
- 90000
- 95000
- 80000
- 85000
Get access to more such sample questions
here.Preparation Tips
- Conceptual Clarity: Begin with NCERT textbooks (Classes 6–10) to build a strong foundation.
- Practice Regularly: Consistent problem-solving enhances speed and accuracy.
- Mock Tests: Simulate exam conditions to identify strengths and areas for improvement.
- Analyze Mistakes: Review incorrect answers to understand and rectify errors.
- Time Management: Develop strategies to allocate time effectively across questions.
Conclusion
The Quantitative Aptitude section of the CAT exam is a blend of fundamental mathematics and logical reasoning. A structured approach, focusing on understanding concepts and regular practice, is key to excelling in this section. By leveraging quality resources and adhering to a disciplined study plan, aspirants can significantly enhance their performance in the QA section.
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