CAT 2024 Algebra Questions with Answers

Excelling in the Quantitative Aptitude section of the CAT exam is achievable by practising CAT 2024 Algebra Questions. Although Arithmetic often comes first, Algebra also plays a significant role in the CAT exam. Algebra is a key component of the Quantitative Ability (QA) section, which assesses a candidate’s problem-solving skills. Typically, the QA section includes around 5-6 questions on Algebra and excelling in the topic requires a good understanding basic operations, solving linear and quadratic equations, working with polynomials, exponents, logarithms, sequences, series, and inequalities. Proficiency in these topics is critical for achieving a top score in the CAT exam. Candidates are advised to review and practice these questions to score well in the upcoming CAT 2024 exam.

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CAT 2024 Algebra Questions with Answers

Q1: Given the equation 4x - 17y = 1, where (x, y) are positive integers and x < 1000, how many possible integer values of y satisfy these conditions?

[1] 56

[2] 57

[3] 58

[4] 59

Answer: [4] 59

Q2: A servant's annual wage is Rs. 90 plus a turban. If the servant leaves after 9 months and receives Rs. 65 along with the turban, what is the price of the turban?

[1] Rs. 10

[2] Rs. 15

[3] Rs. 7.5

[4] Cannot be determined

Answer: [1] Rs. 10

Q3: How many integer solutions exist for the equation 11x + 15y = -1, given that both x and y are less than 100?

[1] 15

[2] 16

[3] 17

[4] 18

Answer: [2] 16

Q4: How many ordered pairs of natural numbers (a, b) satisfy the equation 2a + 3b = 100?

[1] 13

[2] 14

[3] 15

[4] 16

Answer: [4] 16

Q5: For how many positive integer values of N, where N < 40, does the equation 3a – Nb = 5 have no integer solutions?

[1] 13

[2] 14

[3] 15

[4] 12

Answer: [1] 13

Q6: What is the number of positive integer solutions to the equation 7x + 3y = 123?

[1] 3

[2] 5

[3] 12

[4] Infinite

Answer: [2] 5

Q7: The cost of 3 hamburgers, 5 milkshakes, and 1 order of fries at a particular fast food restaurant is $23.50. The cost of 5 hamburgers, 9 milkshakes, and 1 order of fries is $39.50. What is the total cost for 2 hamburgers, 2 milkshakes, and 2 orders of fries at this restaurant?

[1] $10

[2] $15

[3] $7.5

[4] None of the above

Answer: [4] None of the above

Q8: How many integer solutions exist for the equation |x| + |y| = 7?

[1] 24

[2] 26

[3] 14

[4] None of these

Answer: [4] None of these

Q9: A shop has x kg of rice in stock. The first customer buys half of the total rice plus an additional half kg. The second customer buys half of the remaining rice plus another half kg. The third customer buys half of the remaining rice plus half a kg, leaving the shop with no rice. What is the possible value of x?

[1] 2 ≤ x ≤ 6

[2] 5 ≤ x ≤ 8

[3] 9 ≤ x ≤ 12

[4] 11 ≤ x ≤ 14

Answer: [2] 5 ≤ x ≤ 8

Q10: How many integer pairs (x, y) satisfy the inequality ?

1. 95
2. 90
3. 147
4. 180

Answer: (3) 147

Algebra Topics for CAT Exam 2024

Based on an analysis of previous years' CAT exam papers, it has been observed that the Quantitative Aptitude section usually features around 5-6 questions on algebra. Some crucial algebra topics for CAT preparation include:

• Linear Equations
• Quadratic Equations
• Polynomials
• Exponents and Logarithms
• Functions
• Inequalities
• Sequences and Series
• Complex Numbers
• Binomial Theorem
• Progressions and Series

Preparation Tips to Excel in Algebra for CAT Exam 2024

Mastering the Quantitative Aptitude section, especially algebra, requires a strong foundation in basic concepts. Here are some effective strategies to help you ace algebra topics in the CAT exam:

• Revisit Fundamental Concepts: Begin by strengthening your understanding of core concepts such as exponents, factorization, linear and quadratic equations, and inequalities. Use reliable resources, like Class 10th NCERT textbooks, to reinforce your basics.
• Master Key Formulas: Ensure that you memorize and can effectively apply essential algebraic formulas. Using flashcards can be a helpful way to regularly review and solidify these formulas.
• Consistent Practice: Regularly solve a variety of algebra problems from previous CAT exams, mock tests, and well-regarded question banks. The more you practice, the more confident you’ll become.
• Enhance Calculation Speed: Work on reducing your dependency on calculators. Focus on learning approximation techniques and mental math strategies to solve problems faster.
• Identify and Improve Weak Areas: Take mock tests to assess your strengths and weaknesses in different algebra topics. Dedicate more time to practising areas where you need improvement.
• Prioritize Accuracy: Keep in mind that the CAT exam includes negative markings. Only attempt questions where you feel confident in your approach, as accuracy is crucial.

Engaging in the regular practice of CAT 2024 Algebra Questions can aid candidates score well in the Quantitative Aptitude section of the CAT exam. A solid understanding of concepts like linear equations, quadratic equations, exponents, logarithms, functions, and inequalities is essential for securing a high score. By concentrating on these critical algebra topics and maintaining a consistent practice routine, you can greatly improve your chances of success in the CAT 2024 exam.

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