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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.
| Language | English |
| No. of Pages | 22 |
| PDF Size | 1.4 MB |
| Category | Education |
| Source/Credits | – |
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CAT Quant Formulas PDF Free Download