# Quantitative Aptitude Quantitative Aptitude

### How to Quickly find Rate of Simple Interest

Simple interest is calculated only on the principal amount, or on that portion of the principal amount that remains. It excludes the effect of compounding. Simple interest can be applied over a time period other than a year, e.g. every month. [mathjax] Simple Interest FormulaA = P(1 + rt) Where: A = Total Accrued Amount Aptitude Shortcuts

### Shortcut of Permutation-2

Shortcut 95: Repeated elements      n!/(a!*b!) Question: In how many ways the letters of the word “ENVIRONMENT” can be arranged? Answer: n = 11 Let, a = 2 (E is repeated twice) Let, b = 3 (N is repeated thrice) Number of arrangements = 11!/(2! x 3!) Shortcut 96: Circular arrangement   (n-1)! Question: In Aptitude Shortcuts

### Shortcut of Calendar and Clocks

Shortcut 87:                              Using the odd days Question: Find the day of birth of MS Dhoni (7 July, 1981), if 31 Dec 1999 is Friday Answer: Days after 7/7/1981 in 1981 = 177 Odd days by normal years from 1982 to 1999 = 14 Odd days by leap years = 4 x 2 = 8 Aptitude Shortcuts

### Shortcut of Heights and Distances

Shortcut 85: Using tanƟ Ɵ                                tan 0                                    0 30                            $1/\sqrt3$ 45                                  1 60                             $\sqrt3$ 90                              $\infty$ Question: A man on a boat saw a tower of height 100m at an angle of 60o. What is the distance between the man and Aptitude Shortcuts

### Shortcut of Number system

Shortcut 77: Divisibility test Divisibleby                                    Rule 2                            Last digit of a number should be 0,2,4,6, or 8 3                            Sum of the digit should be divisible by 3 4                            Last two digits of a number should be divisible by 4 5                            Last digit of a number should be 0 or 5 6                             Number should be divisible Aptitude Shortcuts

### Shortcut of Simple and Compound Interest

Shortcut 75: Simple interest $SI=\frac{PNR}{100}$ P = Principle amount invested or borrowed R = Rate of interest per term N = Number of terms Term = duration for which interest is calculated Question: A man invested Rs. 10000 at 4% per annum simple interest. What is the interest he will get at the end of Aptitude Shortcuts

### Shortcut of Pipes and Cisterns

Shortcut 73: One pipe fills and another empties $\frac{AB}{-A+B}$ Question: Pipe A can fill a tank in 4 hours and pipe B can empty the tank in 5 hours. If both pipes are opened together, how long will they take to fill a complete tank? Answer: A = 4 B = 5 Substitute the values

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