# Shortcuts

Aptitude Shortcuts

### Aptitude – Shortcuts for Addition and Subtraction

Addition is one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is...

Aptitude Shortcuts

### Aptitude – Shortcuts for Multiplication

Multiplication of whole numbers is equivalent to a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one...

Aptitude Shortcuts

### Shortcut of Combination and Probability

Shortcut 99:    nCr=n!/[r!(n-r)!] Question: In how many ways 2 shirts and 3 pants can be selected from 5 shirts and 7 pants? Answer: Selecting...

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,...

Aptitude Shortcuts

### Shortcut of Permutation-1

Shortcut 91: Events   Dependent=multiplication   Independent =addition Question: There 3 busses from city A to city B and there are 5 busses from city...

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...

Aptitude Shortcuts

### Shortcut of Heights and Distances

Shortcut 85: Using tanƟ Ɵ                                tan 0                                    0 30                            $1/\sqrt3$ 45                                  1 60                             $\sqrt3$ 90                       ...

Aptitude Shortcuts

### Shortcut of LCM and HCF

Shortcut 82: Maximum number of items per group     Take HCF Question: There are 40, 45 and 50 balls in three different colors. They have...

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...

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...