On this page, we have compiled the complete list of short tricks and formula for CSAT questions related to Basic Arithmethic.

## SUM OF NUMBERS

In the below formula, (n) = last natural number in the series given.

$$\text{sum of first (n) natural numbers} = \frac{n(n+1)}{2}$$

$$\text{sum of multiplication table of x} = \frac{x \times n(n+1)}{2}$$

$$\text{sum of square of first (n) natural numbers} = \frac{n\left(n+1\right)\left(2n+1\right)}{6}$$

$$\text{sum of the cube of first (n) even natural numbers} = {\left({n(n+1)} \over 2\right)}^2$$

$$\text{sum of the first (n) even natural numbers} = n(n+1)$$

$$\text{sum of the first (n) odd natural numbers} = {\left({n+1} \over 2\right)}^2$$

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## RULES OF DIVISION

- dividend = (divisor
*x*quotient) + remainder - divisor = (dividend - remainder) / quotient
- quotient = (dividend - remainder) / divisor
- remiander = dividend - (divisor
*x*quotient)

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