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Vipra Shrivastava
Senior Manager - Content
Updated on Jul 5, 2026 13:28 IST
Check below CAT Arithmetic questions of previous years, along with solutions. Nearly 8-10 questions appear in this section every year. They are a mix of MCQ and TITA. You can practice these questions to prepare for Arithmetic topic of the exam, given in this article below.

CAT Arithmetic questions are usually moderately difficult. It has rarely been reported that a question from this topic posed challenge to candidates in the exam. Arithmetic dominates the Quantitative Aptitude section of CAT exam. Nearly 8-10 questions appear in this section every year. They are a mix of MCQ and TITA questions from Averages, Mean Median Mode, Percentages, Ratio and Proportion, Simple and Compound Interest, Profit and Loss Mixtures and Allegations, Time and Work, Time Speed and Distance. If your multiplication, division and percentage calculation skills are strong you will be at ease in these topics.

Check below a few CAT Arithmetic Questions. Solve them to evaluate your hold on this topics. You should regularly practice previous years’ questions as part of your CAT 2026 preparation. Also find the solutions in PDF. 

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Sample CAT Arithmetic Questions with Solutions

Question 1: The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is?

Options:

a) 1:4

b) 1:2

c) 4:1

d) 3:1

Question 2: Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is?

a)  6

b)  15

c) 10

d)  12

Question 3: Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is?

a) 1680

b) 1176

c)  2520

d) 1440

Question 4: A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is?

a) 1:4

b) 1:5

c) 1:6

d) 1:7

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Commonly asked questions
Q:   Which CAT slot has the toughest question paper?
A: 

Difficulty level in CAT exam is not specific to any of the three slots. The difficulty level across slots may vary every year. Know how the CAT scores are normalised: https://www.shiksha.com/mba/articles/understanding-cat-normalization-process-blogId-9386.

Q:   From where can I download CAT question papers?
A: 

CAT question papers are released within a week of the exam in the form of a PDF as a response sheet and answer key. Response sheet hosts CAT exam questions and answers.

Q:   What is the marking scheme of CAT?
A: 

CAT has 68 questions. Each question carries three marks. There is negative marking of minus one for incorrect attempts. There is no deduction of marks for unanswered questions. Total marks in 204.

Q:   What is the sectional time limit in CAT?
A: 

In CAT exam, each candidate gets 120 minutes to solve the paper. There are three sections in CAT Verbal Ability and Reading Comprehension, Data Interpretation and Logical Reasoning and Quantitative Aptitude. For each section 40 minutes are allotted as sectional time limit. For PwD candidates, the sectional time limit is 53.20 minutes per section. Candidates have to complete each section within the given time limit. Since the CAT is an online mode exam, the test screen will move from first section to the next section automatically as soon as the time limit gets over. Thus candidates have to be mindful of the on-screen timer and pre-decide the number of questions to solve in each section. The Verbal Ability and Reading Comprehension section of CAT has 24 questions, Data Interpretation and Logical Reasoning section has 22 questions and Quantitative Aptitude section has 22 questions. It is not mandatory to solve all the questions in CAT so candidates can devise a strategy to use 40 minutes per section as per their strength and weakness.

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