Aptitude

Square of a number that ends in 5

Square math tricks can be used anytime you have to find square of a number ending in 5. It works with 3 digit number too.

Example:- Find square of 85

Step 1:- Ignore 5 in the units place.

Step 2:- Take the digit in the tens place.                      i.e.8 and multiply it with its                           successor i.e.8 + 1 = 9. The result is                 72

Step 3:- Simply place 25 at the end of the                     result i.e. 7225

                7225 is your Answer.

Example
      Square of 135

Step 1:- First multiply 13 with its                                  Successor i.e. 14            
              13 × 14 = 182

Step 2:- Now add 25 at the end. Your                          answer is 18225.


Multiplication by 15

If you to have to multiply any number with 15 this trick will help you improve your arithMetic computation speed.

If you want to multiply 67 with 15, here are the steps to follow:-

Step 1: Write 0 at the end of the number . Here we have 67, so multiply by 10 would make it 670.

Step 2: Divide this by 2, so we have 335

Step 3: Now add up the two numbers i.e. 335 + 670 = 1005
                 Answer 1005

Another example

Step 1: Multiply 98 by 10 = 980

Step 2: Divide it by 2  = 490

Step 3: Now add both the numbers i.e
                  980 + 490 = 1470
             Answer:- 1470.





7 April 2014
Age Problems? Now no problem

Facing trouble in solving problems related to age? Here is the vedic method to find the solution of such problems.

Ques:- The ratio of Father and Son at present is 3:1.4 years earlier, the ratio was 4:1
What are the present ages of the son and the father?

Solution:- Father Son present age  = x:y
Before T years age = a:b
Then Son's age = y × T (a - b) / difference of cross products (i.e. 3:1 × 4:1 )  and
Father's age = X × T (a - b) / difference of cross products calculate son's age:

Step 1: 1 × 4 (4 - 1) / 4 × 1 - 3 × 1

Step 2: 4 (3) / 4 - 3 = 12 years
     
       Calculate father's age:

Step 3: 3 × 4 ( 4 - 1 ) / 4 × 1 - 3 × 1

Step 4: 12 (3) / 4 - 3 = 36 years

Answer:-  Present age of father is 36 years and son is 12 years.



2 April 2014
Multiply any number by 12

Sometimes small multiplication also consume a lot of time. Here is a vedic math trick to multiply any 2 digit number by 12 in just few seconds.

We will give you few examples to explain the steps.

Example 1:   12 × 7

1. Always multiply the 1 of 12 by the number we are multiplying so   1× 7 = 7

2. Then multiply 7 by 10 = 70

3. Now multiply 2 of 12 by 7 = 14

4. Add 70 and 14.

             Hence   12 × 7 = 84

Example 2:-    24 × 12

1. Multiply  24 × 1 = 24

2. Then multiply 24 by 10 = 240

3. Multiply 24 × 2 = 48

4. Add, 240 + 48 = 288

   Answer is 288.



27 mar 2014
Find cube root

Quick and easy method to find cube root of any two digit number in a few seconds.

To find cube of any two digit number, let's take 12 (3) as example.

Step 1: Find the cube of tens digit (1) 3 = 1

Step 2: The ratio of digits here is 1:2
              Now, in same ratio write four digits 1 2 4 8

Step 3: Double the middle digits 2,  4 to get 4,  8

Step 4: Add step 2 and step 3 to get the answer 1728


Working :  123
                   
                      1 2 4 8
                      + 4 8       
                     1 7 2 8  

Now with the similar method , the cube of 21 would be
                   8 4 2 1
                  + 8 4       
                  9 2 6 1  

                         

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