CAT Quant Formulas PDF

Important CAT Formulas

Thus, it becomes important that candidates are well versed with the basic formulas required for solving questions with higher accuracy and in the least time possible.

Here is a list of important formulae that candidates need to master to crack the Common Admission Test (CAT) successfully.

Number Systems

• 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
• (1² + 2² + 3² + ….. + n²) = n ( n + 1 ) (2n + 1) / 6
• (1³ + 2³ + 3³ + ….. + n³) = (n(n + 1)/ 2)²
• The sum of the first n odd numbers = n²
• Sum of first n even numbers = n (n + 1)

Mathematical Formulas:

• (a – b)² = (a² + b² – 2ab)
• (a + b)² = (a² + b² + 2ab)
• (a + b)(a – b) = (a² – b²)
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
• (a³ – b³) = (a – b)(a² + ab + b²)
• (a³ + b³) = (a + b)(a² – ab + b²)
• (a³ + b³ + c³ – 3abc) = (a + b + c)(a² + b² + c² – ab – bc – ac)
• When a + b + c = 0, then a³ + b³ + c³ = 3abc
• (a + b)n = an + (nC1)an-1 b + (nC2)an-2 b² + … + (nCn-1)abn-1 + bn

Profit, Loss, and Discount

• Profit (or) Gain = SP – CP
• Profit % = (Profit/CP) × 100
• SP = (100 + gain % )/100  × CP
• CP = 100/(100 + gain %) × SP
• Loss = CP – SP
• Loss % = Loss/(CP) × 100
• SP = (100 – loss %)/100 × CP
• CP = 100/(100 – loss %) × SP

LCM and HCF

LCM × HCF = Product of the numbers

LCM of co-prime numbers = Product of the numbers

Speed, Time, and Distance

Distance = Speed × Time

Time = Distance/Speed

Speed= Distance/Time

Percentages

To find what percentage of x is y: (y/x) × 100

Increase N by S % = N( 1+ S/100 )

Decrease N by S % = N (1 – S/100)

Time and Work

If A can do a piece of work in n days, then A’s 1 day’s work = 1/n

If A’s 1 day’s work =1/n, then A can finish the work in n days.

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