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### Chapter: Simplification and Approximation

Important formulae and tricks and shortcuts of Simplification and Approximation:

We are providing you Important Concepts and Tricks on Simplification and Approximation which are usually asked in almost all competitive exams like IBPS, Govt. Exams and CAT and in quantitative aptitude of MNCs. Use these below given tricks to solve questions within minimum time. These tricks will be very helpful for your upcoming Competitive Exam.

Simplification is one of the most important part of Quantitative Aptitude section of any competitive exam. Today we are sharing all the techniques to solve Simplification questions quickly.

Rules of Simplification
V → Vinculum
B → Remove Brackets - in the order ( ) , { }, [ ]
O → Of
D → Division
M → Multiplication
A → Addition
S → Subtraction

Dividend = ( Divisor✘ Quotient ) + Remainder

or

Divisior= [(Dividend)-(Remainder] / Quotient

#### Sum Rules:

(1+2+3+.........+n) = 1/2 n(n+1)
(12+22+32+.........+n2) = 1/6 n (n+1) (2n+1)
(13+23+33+.........+n3) = 1/4 n2 (n+1)2

Arithmetic Progression (A.P.)

a, a + d, a + 2d, a + 3d, ....are said to be in A.P. in which first term = a and common difference = d.
Let the nth term be tn and last term = l, then
a) nth term = a + ( n - 1 ) d
b) Sum of n terms = n/2 [2a + (n-1)d]
c) Sum of n terms = n/2 (a+l) where l is the last term

For solved problems on above formulas please visit below sections: