| 19th November 2014 11:26 AM | |
| Kiran Chandar | Re: Tips and Tricks to Solve Quantitative Aptitude Test Questions Here I am suggesting few Tips and Tricks to Solve Quantitative Aptitude Test Questions on Number System which you are looking for . 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. List of few questions are given below Given a number x, you will be asked to find the largest n digit number divisible by x. Given a number series, find the sum of n terms, find nth term etc. Find the number when divisibility of its digits with certain numbers is given. Find the smallest n digit number divisible by x. Find product of two numbers when their sum/difference and sum of their squares is given. Which of the given numbers are prime numbers. Number x when divided by y gives remainder r, what will be the remainder when x2 is divided by y. Given relationship between the digits of number, find the number. |
| 19th November 2014 10:15 AM | |
| Unregistered | Tips and Tricks to Solve Quantitative Aptitude Test Questions Will you please provide the Tips and Tricks to Solve Quantitative Aptitude Test Questions on Number System ? |
