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25th September 2014, 09:31 AM
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Join Date: Apr 2013
Re: IBPS Clerk Exam Quantitative Aptitude Shortcuts Tips

Here I am providing the Tips and Tricks to Solve IBPS clerk exam Quantitative Aptitude Test questions on Numbers which you are looking for .

Be attentive in class
Try to practice model paper for
Work on your weak areas
Create a timetable
Always try to answer that type of question for which you have confirmed answer.
refer only important books
Do not skip any topic
Manage time properly

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.


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