CAT Arithmetic Questions with Solutions PDF

Question 1: There is an increment of 600 gm in the average weight of students in a class 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 old students, then what is the ratio of the number of old students to the number of new students?

a) 1:4

b) 1:2

c) 4:1

d) 3:1

Answer: 4:1

Question 2: Two trains A and B started simultaneously from stations X and Y, respectively. Both the trains move towards each other with their constant speeds. Train A travels from station X to station Y in 10 minutes, while train B travels from station Y to station X in 9 minutes after meeting train A. Then, what is the total time taken, in minutes, by train B to travel from station Y to station X?

a)  6

b)  15

c) 10

d)  12

Answer: 15

Question 3: Ankita bought 4 kg cashews, 14 kg peanuts, and 6 kg almonds when the cost of 7 kg cashews is equivalent to the cost of 30 kg peanuts or 9 kg almonds. She mixed all these nuts together and marked a price on the mixture in such a way that she can earn a profit of ₹1752. She sold 4 kg of the mixture at the marked price and sold the rest at a discount of 20%, earning a total profit of ₹744. Find the total amount, in rupees, that Ankita spends on buying almonds?

a) 1680

b) 1176

c)  2520

d) 1440

Answer: 1680

Question 4: A mixture of lemon juice and sugar syrup in equal proportion is taken and another mixture is formed by mixing the first mixture with sugar syrup in the ratio 1 : 3. Then find the ratio of the lemon juice and sugar syrup in the second mixture?

a) 1:4

b) 1:5

c) 1:6

d) 1:7

Answer: 1:7

When preparing for the CAT Arithmetic topics of CAT, aspirants must ensure they have complete clarity of the following concepts:

• Percentages
• Profit, Loss & Discount
• Simple & Compound Interest (SI & CI)
• Ratio and Proportion
• Averages, Mixtures & Alligations
• Time and Work
• Time, Speed and Distance

Check the below table for the number of Arithmetic questions asked in the last few years in CAT exam.

Profit / Loss Percentage:

• Profit% = (SP-CP/CP) X100
• Loss% = (CP-SP/CP) X 100

Discount and Markup:

Discount = Marked price (MP) - Selling Price (SP)

MP/CP =     100+profit%
                  100-discount %

Dishonest Dealer Faulty Weights:

Profit % = (Time Value –False Value) x 100
                              False Value

Simple & Compound Interest

Simple Interest:

SI = PxRxT    | Amount (A) = P +SI
         100
Compound Interest:

A= P (1+R/100)^T    | CI = A-P

Download the CAT Arithmetic Study Guide PDF shared above on this page for complete list of formulas.

Arithmetic is easier than Algebra and Geometry both in terms of theory and practice. Candidates can master CAT Arithmetic questions by practicing sample questions of various difficulty levels. Here’s what you should do:

• First of all, study all the Arithmetic topics in detail. Study from How to Prepare for Quantitative Aptitude for CAT by Arun Sharma
• Memorise important formulae and concepts of each Arithmetic sub topic
• Practice various sample CAT questions. Use recommended question banks for Arithmetic
• Solve all the Arithmetic questions asked in CAT exam in last five year. Refer previous years’ CAT question papers for the same.

*Refer the downloadable PDF given above for detailed assistance.