Published / Updated On: By: yati

## CAT Quant Formulas PDF Summary

Dear readers, here we are offering CAT Quant Formulas PDF to all of you.

This examination is administered by the Indian Institute of management. If you want to seek the desired result from this exam then the following CAT Quant Formulas will prove very helpful to you.

### CAT Quant Formulas PDF

CAT 2022 Basic Mathematical Formulas

• (a + b)² = (a² + b² + 2ab)

• (a – b)² = (a² + b² – 2ab)

• (a + b)(a – b) = (a² – b²)

• (a + b)² = (a² + b² + 2ab)

• (a³ – b³) = (a – b)(a² + ab + b²)

• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

• (a³ + b³) = (a + b)(a² – ab + b²)

• When a + b + c = 0, then a³ + b³ + c³ = 3abc

• (a³ + b³ + c³ – 3abc) = (a + b + c)(a² + b² + c² – ab – bc – ac)

• (a + b)n = an + (nC1)an-1b + (nC2)an-2b² + … + (nCn-1)abn-1 + bn

Formulas for LCM and HCF

Important Formulas for Speed, Time, and Distance

• Speed= Distance/ Time

• Distance= Speed x Time

• Time= Distance/ Time

Time and Work Formulas (Basic Formulas)

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

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

### CAT Quant Formulas PDF 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
• Sum of 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)² = (a² + b² + 2ab)
• (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-1b + (nC2)an-2b² + … + (nCn-1)abn-1 + bn

### Profit, Loss, and Discount

• Profit/Gain = (S.P.) – (C.P.)
• Profit % = Profit/(C P)×100
• S P = (100+gain % )/100  ×C P
• C P = 100/(100+gain %)×S P
• Loss = (C.P.) – (S.P.)
• Loss % = Loss/(C.P.)×100
• S P = (100-loss %)/100×C P
• C P = 100/(100-loss %)×S P