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  #1  
Old May 3rd, 2014, 01:13 PM
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Default Tricks to solve quantitative aptitude problems

Will you please give me some short tricks and formulas to solve quantitative aptitude problems??
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Old May 4th, 2014, 01:37 PM
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Default Re: Tricks to solve quantitative aptitude problems

Solving the aptitude test questions with accuracy as well as quickly is asked in most of the competitive, entrance and qualifying examinations.

Here I am giving you some Short tricks to solve quantitative aptitude problems

Formulas of Number Series
1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
(13 + 23 + 33 + ..... + n3) = (n(n + 1)/ 2)2
(12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
Sum of first n odd numbers = n2
Sum of first n even numbers = n (n + 1)

Mathematical Formulas
(a + b)(a - b) = (a2 - b2)
(a + b)2 = (a2 + b2 + 2ab)
(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
(a - b)2 = (a2 + b2 - 2ab)
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
(a3 + b3) = (a + b)(a2 - ab + b2)

Shortcuts for number divisibility check
-A number is divisible by 2, if its unit's digit is any of 0, 2, 4, 6, 8.
-A number is divisible by 3, if the sum of its digits is divisible by 3.
-A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
-A number is divisible by 5, if its unit's digit is either 0 or 5.
-A number is divisible by 6, if it is divisible by both 2 and 3.
-A number is divisible by 12, if it is divisible by both 4 and 3.
-A number is divisible by 14, if it is divisible by 2 as well as 7.
-Two numbers are said to be co-primes if their H.C.F. is 1. To find if a number, say y is divisible by x, find m and n such that m * n = x and m and n are co-prime numbers. If y is divisible by both m and n then it is divisible by x.
-A number is divisible by 8, if the number formed by the last three digits of the given number is divisible by 8.
-A number is divisible by 9, if the sum of its digits is divisible by 9.
-A number is divisible by 10, if it ends with 0.
-A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even places, is either 0 or a number divisible by 11.
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