CAT Arithmetic Questions

Check below CAT Geometry questions of previous years, along with solutions. You can practice these questions to prepare for Geometry topic of the exam. 

CAT Arithmetic questions for practice

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.

CAT Arithmetic Questions Over The Years

Arithmetic has always dominated the CAT question paper. Check the table below to know the number of questions asked per Arithmetic topic in CAT exam in the last few years.

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CAT Arithmetic Questions for Practice 

Check below a few CAT Arithmetic Questions. These questions appeared in the CAT question papers of previous years. 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 answers in PDF uploaded at the end of the questions. 

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

Question 5: In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is?

a) 47

b) 53

c) 52

d) 48

Question 6: Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is?

a) 5%

b) 5%

c) 60%

d) 50%

CAT Arithmetic TITA Questions

Question 7: Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is?

Question 8: P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct paths, and between P and R along 4 direct paths. There is no direct path between P and S, while there are few direct paths between Q and R, and between R and S. One can travel from P to S either via Q, or via R, or via Q followed by R, respectively, in exactly 62 possible ways. One can also travel from Q to R either directly, or via P, or via S, in exactly 27 possible ways. Then, the number of direct paths between Q and R is?

Question 9: Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal’s cost price for syrup, in rupees per kg, is?

Question 10: In a village, the ration of males to females is 5:4. The ratio of number of literate males to literate females is 2:3. The ratio of the number of illiterate males to illiterate females is 4:3. If 3600 males in the village are literate, then the total number of females in the village is?

CAT Arithmetic Questions Answer Key

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