# CAT Quant Formulas PDF

## CAT Quant Formulas PDF Summary

Dear readers, here we are offering CAT Quant Formulas PDF to all of you. CAT Quant Formulas are very important for those who are preparing for CAT examinations. CAT is also known as The Common Admission Test which is a computer-based test.

CAT is very useful for those who want to get admission to various graduate management programs. This examination is administered by the Indian Institute of management. If you want to seek the desired result from this examination 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

• LCM × HCF = Product of the Numbers

• LCM of Co-prime Numbers = Product Of The Numbers

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 