M4apt

Ratios and proportions is one of the most important topic in aptitude because of wide range of it's applications like ages, percentages, mixtures and allegations... Ratio is a quantitative relation between two or more numbers which tells how many times one number is w.r.t other. If a certain amount N is divided among A, B in a ratio a:b then A's share is a/(a+b) * N and B's share is b/(a+b) *N If A:B = a:b and B:C = c:d then A:C = a*c : b*d If A:B = p:q, B:C = r:s, C:D = t:u then A:D = A/D = (A/B) * (B/C) * (C/D)   If a quantity is increased by a/b then the new content becomes (a+b)/b If a quantity is decreased by a/b then the new content becomes (b-a)/b To reduce your computations, it is always recommended to remember these values in terms of percentages 1/1 = 100 % 1/2 = 50 % 1/3 = 33.33 % 1/4 = 25 % 1/5 = 20 % 1/6 = 16.66 % 1/7 = 14.28 %       1/13 = 7.6% 1/8 = 12.25 %       1/12 = 8.33% 1/9 = 11.11 %       1/11 = 9.09% 1/10 = 10 % Proportion

Logarithms have a wide range of applications in solving problems which are based not only on logarithms but also on the problems like finding the bigger number of 2^51 and 5^30. Logarithms also have many other applications which when used gives an immense sense of its usage. Logarithms What is a Logarithm? A Logarithm is a quantity which represents the rise of it in terms of another number (base) How it was derived, is there any formula to get logarithmic values? Yes, there is a series called logarithmic series which will generate value of the logarithms The main terms which one should be more familiar with before solving logarithmic problems are Exponent: Power of a number. Base: The number to reduce another number when log is applied. Some Basic Logarithmic formula: log ab = log a + log b log a/b = log a - log b log(a^b) = b*log(a) log a b = 1/log b a log b n = log e n/log e b log 10 n = log e n/log e 10 = log e n *(0.43429448..) Tool to find logarithm value o

If you keenly observe the calendar, if today is Wednesday same date of the next year will be Thursday (if there is no Feb 29 in between) and Friday(if Feb 29 comes) but what if someone asks you to find the day of a given random date? I have found many people asking calendar problems formula. there is no need for any formula as you can do it all by yourself with calendar problem aptitude tricks.  So here is a simple procedure with which you can simply find the day of a given date. Before learning the complete procedure, let me introduce a few basic terms required to solve these type of problems. Calendars are prepared based on the earth's orbit around the sun and it is designed it in a way that every orbit is equivalent to 1 year. with some fraction of the day left out for a year and this fraction is adjusted with the help of leap days. Most of the people think that every 4th year is a leap year but this is not true if one considers every 4th year as a lea