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23rd March 2015 05:12 PM
Rajkumar Agarwal
Re: Tricks to Solve Aptitude Questions

Here I am giving you tricks and tips to Solve Aptitude Mathematics Questions for preparation of Competition Exams.

Important Formulas of Number System:

Formulas of Number Series:
• 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)(a - b) = (a2 - b2)
• (a + b)2 = (a2 + b2 + 2ab)
• (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

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 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.
• 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.
23rd March 2015 04:44 PM
Unregistered
Re: Tricks to Solve Aptitude Questions

I want to prepare for Competition Exams so please give me so tricks and tips to Solve Aptitude Mathematics Questions?
4th August 2014 03:25 PM
Arun Vats
Re: Tricks to Solve Aptitude Questions

Here is the list of topics which covers Aptitude Questions in several competitive exams .
Time and Distance

Time and Work

Data Interpretation

Simplification

Decimal Fractions

Ratio and Proportions

Unitary Method

Percentage

Profit and Loss

Average

Simple and Compound Interest

Menstruation (2D and 3D)

Algebra

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 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 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 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.
4th August 2014 02:05 PM
Unregistered
Tricks to Solve Aptitude Questions

Will you please suggests some tips to Solve Aptitude Questions ?

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