CAT Linear Equations Questions are an important part of the Quantitative Aptitude section of the CAT exam. These questions require candidates to form and solve equations using the information given in the problem. Practising CAT Linear Equations Questions with solutions can help candidates improve their algebraic reasoning, calculation speed and accuracy.
Linear equations can appear in different forms in the CAT Quantitative Aptitude section. Questions may involve ages, numbers, prices, ratios, income, expenditure or other real-life situations. Candidates should first convert the given information into equations and then solve them systematically.
Take a look at some Linear Equations Questions with solutions for CAT exam below. These questions can help you understand how to approach equation-based problems.
Find Linear Equations-based problems with solutions and shortcuts.
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- CAT Linear Equations Sample Questions with Answers
- CAT Linear Equations Topic Breakdown
- How to Prepare for Linear Equations Questions for CAT
CAT Linear Equations Sample Questions with Answers
Question 1
The sum of two numbers is 45. The difference between the two numbers is 9. What is the larger number?
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18
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24
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27
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30
Answer: 3. 27
Question 2
A number is increased by 8 and the result is three times the original number minus 12. What is the number?
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6
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8
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10
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12
Answer: 2. 10
Question 3
The sum of the ages of a father and his son is 56 years. The father is 28 years older than his son. What is the age of the son?
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12 years
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14 years
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16 years
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18 years
Answer: 2. 14 years
Question 4
A shopkeeper sells two products for a total of ₹700. The price of the first product is ₹100 more than twice the price of the second product. What is the price of the second product?
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₹150
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₹175
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₹200
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₹250
Answer: 2. ₹200
Question 5
The sum of three consecutive integers is 72. What is the largest integer?
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23
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24
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25
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26
Answer: 3. 25
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CAT Linear Equations Topic Breakdown
While preparing for CAT Linear Equations Questions, candidates should revise the basic algebraic concepts commonly used to solve these problems. These include:
- Linear equations in one variable
- Linear equations in two variables
- Simultaneous equations
- Equations involving fractions
- Equations involving percentages
- Age-based problems
- Number-based problems
- Price and cost-based problems
- Ratio-based equations
- Word problems
How to Prepare for Linear Equations Questions for CAT
Here’s what you should do:
- Understand the variables: Assign suitable variables to unknown quantities before starting the calculation.
- Convert statements into equations: Identify relationships between the quantities and represent them mathematically.
- Revise basic algebra: Practise simplification, transposition and solving equations.
- Practise different question types: Solve questions based on ages, numbers, prices, ratios and other applications.
- Solve CAT previous-year questions: This helps candidates understand the difficulty level and question style.
- Improve calculation speed: Quick simplification can save valuable time during the CAT exam.
- Check your answer: Substitute the calculated value back into the original equation whenever possible.
CAT Exam
Student Forum
Anything you would want to ask experts?Answered 22 hours ago
Dedicate one focused hour in the morning to QA formulas or an RC passage, one hour in the evening to DILR sets, and reserve weekends for full-length mocks and thorough review.
L
Contributor-Level 7
Answered 22 hours ago
It is not too late, provided you adjust your scope. Focus directly on core topics, start taking sectional tests immediately, and spend time learning through mock test analysis.
R
Contributor-Level 7
Answered 22 hours ago
Focus on formula sheets, mental math tables, grammar pointers, and your accumulated test error log. Avoid attempting full-length tests during the final three days before the exam.
N
Contributor-Level 7
Answered 22 hours ago
Enrolling in a classroom programme is rarely practical with two months left. However, a dedicated mock test series or a targeted crash course for specific weak subjects can provide structured practice material.
D
Contributor-Level 7
Answered 22 hours ago
A beginner can build a respectable attempt by focusing strictly on high-yield areas such as Arithmetic, Algebra, core DI arrangements, and Reading Comprehension, rather than attempting the entire syllabus.
R
Contributor-Level 7
Answered 22 hours ago
Taking 12 to 18 full-length mocks across the 60-day window is generally sufficient. Candidates must scatter these mocks into phases and dedicate at least three to four hours to analysing each test.
B
Contributor-Level 7
Answered 22 hours ago
Yes, 60 days is adequate if you have a basic understanding of mathematics and reading skills. It provides sufficient time to revise concepts, complete timed sectional practice, and take 12 to 15 full mocks.
S
Contributor-Level 7
Answered 22 hours ago
FIIB provides scholarships based on the merit and need of the students. Students with more than 60 percentile in CAT exam can apply for scholarships offered by Fortune Institute of International Business Delhi.
Contributor-Level 7
Answered 4 days ago
IIM Indore will release CAT admit card 2026 on November 4. Candidates will be able to download the admit card of CAT exam 2026 until the exam date, i.e. November 29.
R
Contributor-Level 7
Answered 4 days ago
Candidates can edit the following details during the CAT form correction process:
- Photograph uploaded
- Signature uploaded
- Test city preferences
Personal details like name, date of birth, gender, nationality, or any other information, besides those above mentioned, cannot be changed using CAT correction w
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Contributor-Level 7
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