CAT Arithmetic Preparation 2025- Check Syllabus, Important Formulas, Sample Questions

CAT Arithmetic Preparation 2025- Books

To prepare for CAT Arithmetic 2025, students can refer to the books listed below

CAT Arithmetic Preparation 2025- Important Formulae

To prepare for the CAT Arithmetic section, students must remember the formulae used in related topics. Students can check the CAT Arithmetic 2025 formulae for various topics in the table below.

CAT Arithmetic Topic	CAT Arithmetic Important Formulae
Percentage	Percentage Change: it can be calculated by: Actual Change/Original Value x 100
Ratio and Proportion	Proportion rule : a:b::c:d⇒ab=cd Dividendo: if a:b = c:d then a - b:b = c - d:d Componendo: if a:b = c:d then a + b:b = c + d:d Alternendo: if a:b = c:d then a:c = b:d;’ Addendo: if a:b = c:d then a + c = b + d Subtrendo: if a:b = c:d then a - c = b - d Invertendo: if a:b = c:d then b:a = d:c Componendo: if a:b = c:d then a + b:a - b = c + d:c - d
Average	Average of ‘n’ consecutive Natural Numbers =( n+1)/2 Average of the square of consecutive n natural numbers = (n+1)(2n+1)/6
Compound Interest	C= [P (1 + i)n] – P Where: P = principal i = nominal annual interest rate in percentage terms n = number of compounding periods
Simple Interest	PI = P [(1 + i)n – 1] Where: P = principal i = nominal annual interest rate in percentage terms n = number of compounding periods
CAT Arithmetic: Profit and Loss	Important formulas for Profit and Loss: Profit = Selling Price – Cost Price Loss = Cost Price – Selling Price Profit% = (profit/ Cost price) *100 Profit% = {(selling price – cost price)/ Cost price} *100 Loss% = (loss/ Cost price) *100 Loss% = {(Cost price – selling price)/ Cost price} *100
LCM and HCF	For Fractions: LCM = LCM of numerators / HCF of denominators HCF = HCF of numerators / LCM of denominators

CAT Arithmetic: Percentages

Here are some of the important concepts related to the percentage topic for the CAT exam.

• Denoted by the symbol %, a percentage can be calculated through the following formula:

Percentage = (Given Value ⁄ Total Value) × 100

• Percentage Change: it can be calculated by:

Actual Change/Original Value x 100

• Percentage vs Fraction Form
  • 100% - 1
  • 50% - 1/2
  • 331⁄3% or 33.33 - 1/3
  • 25% - 1/4
  • 162⁄3% or 16.66% - 1/6
  • 142⁄7% or 14.28% - 1/7
  • 121⁄2% or 12.5%; - 1/8
  • 111⁄9% or 11.11% - 1/9
  • 10% - 1/10
  • 91⁄11% or 9.09% - 1/11
  • 81⁄3% - 1/12

CAT Arithmetic: Simple Interest

• Simple interest is a quick and easy method of calculating the interest charged on a loan.
• It is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
• The formula for Simple Interest is as follows:

A = P(1+rt)

Where

A - Final Amount

P - Initial Principal Interest

r - Annual Interest Rate

t - Time Period of the Loan/Deposit in years.

• Formula for Principal:

P = (100 x A/R x T)

• Formula for Rate of Interest:

R = (100 x P/P x T)

• Formula for Time:

t = (100 x A/R x T)

• Formula for Net Amount:

A - P+I

CAT Arithmetic: Compound Interest

• Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.
• The total initial amount of the loan is then subtracted from the resulting value
• Compound interest = total amount of principal and interest in the future (or future value) less principal amount at present (or present value)

= [P (1 + i)n] – P

= P [(1 + i)n – 1]

Where:

P = principal

i = nominal annual interest rate in percentage terms

n = number of compounding periods

CAT Arithmetic: Averages

• Averages or central tendency includes mean, median and mode.
• They are essentially the central value of a data set and provide information about the data in a glance.
• Formula for Mean:

  Sum of all the values/Number of Values

• Median: Median is the central most value in a data set.
• Formula for Median:

  {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

• To find the median, first order the numbers from smallest to largest. Then find the middle number.
• Mode: The mode is the most frequently occurring value of a data set/Sample.

CAT Arithmetic: Profit and Loss

• Important formulas for Profit and Loss:
  • Profit = Selling Price – Cost Price
  • Loss = Cost Price – Selling Price
  • Profit% = (profit/ Cost price) *100
  • Profit% = {(selling price – cost price)/ Cost price} *100
  • Loss% = (loss/ Cost price) *100
  • Loss% = {(Cost price – selling price)/ Cost price} *100A is x% more than B and is x% of the sum of A and B. What is the value of x?

CAT Arithmetic Sample Questions

Ques 1. A: B: C is in a 3: 2: 5 ratio. How much C earns out of Rs 1260?

1. 252
2. 125
3. 503
4. None of these

Solution: 4

Ques 2. If 15 men can build a wall on the border in 28 days. The wall is destroyed by a mortar and 10 men are killed, in how many days would the remaining men be able to build the wall again. (Assuming that the wall would need rebuilding from scratch)?

1. 50 days
2. 60 days
3. 84 days
4. 9.333 days

Solution: 3

CAT 2025 Arithmetic- Preparation Tips

To prepare effectively for CAT Arithmetic, students must follow the CAT Arithmetic 2025 preparation tips below.

• Go through the CAT Arithmetic 2025 syllabus.
• Collect books for CAT Arithmetic 2025, like How to Prepare for Quantitative Aptitude for the CAT by Arun Sharma, Quantitative Aptitude Quantum CAT by Sarvesh K. Verma, etc.
• Build strong fundamentals for the topics and concepts like percentages, ratios, averages, profit & loss, and time, speed & distance
• Focus on core topics and allocate time to each topic evenly.
• Remember the CAT Arithmetic formulae and practice as many questions on each formula.
• Minimize calculator use and learn calculation shortcuts to minimize calculation time.
• Solve CAT Mock tests and previous years' CAT Arithmetic papers for effective preparation and time management.

CAT 2025 Arithmetic- Tricks and shortcuts to increase speed

• Memorize important Squares and Square Roots- Certain squares and Square Roots are commonly repeated in the CAT examination and of that matter in any other examination. So it's best to memorize the results to speed up the calculation. Try to at least memorize squares and square roots till 20 as they are an important part of CAT Arithmetic Questions.
• Memorize Percentage Tables- Common percentage fractions like 33.33%, 87.50% 8.33%, and others are also an inseparable part of CAT Arithmetic Questions. So, aspirants should memorize import fractional conversions of the percentages.

CAT 2025 Arithmetic- Previous Year Papers

CAT 2024 Arithmetic Papers

CAT 2023 Arithmetic Papers