SHREE BALAJI CLASSES (Rohit Sir)

    In the cycle of life, predators always occupy an important position. They are killers. But they kill, only to 'kill' their hunger. In fact, the story of the animal kingdom is full of predators trying to catch prey, and the prey trying to outwit predators. It is the balance between the two that takes the drama of life forward. In the wild, there is no place for the weak, whether it's the predator or the prey, and only the fittest survives. The hunters keep populations healthy by weeding out the old and the sick. Of course, there are also creatures that steal the prey caught by others, like hyenas.      We have collected information about some animals for which you must know. 1 . Bengal Tigers : The Bengal Tiger is found in the rainforests and grasslands of Bangladesh, Bhutan Burma, China, India and Nepal. Bengal tigers are extremely large, and the males are up to 3 meters in length. The Bengal tiger's fur is orange brown, with black stripes. It hunts deer,...

We have to look at the numbers from 1 to 9.      Cube of 1 (1 3 )  =        1 Cube of 2 (2 3 )  =        8 Cube of 3 (3 3 )  =      27 Cube of 4 (4 3 )  =     64 Cube of 5 (5 3 )  =  125 Cube of 6 (6 3 )  =  216 Cube of 7 (7 3 )  =  343 Cube of 8 (8 3 )  =  512 Cube of 9 (9 3 )  =  729      Cube of 10 (10 3 )=1000 Some important things:- 1.      The sum of the digits of a perfect cube number can only be 1, 8 and 9, so if the sum of the digits is any other than these three, then that number cannot be a perfect cube. 2.      The numbers to the right of which zeros are not multiples of three are incomplete cube numbers like 100, 10000, 2160000 etc. 3.      As many groups of 3–3 digits are formed in a perfect cube number, there will be as ma...

1.     We have to look at the numbers from 1 to 9.      Square of 1 (1 2 )=    1 Square of 2 (2 2 )=    4 Square of 3 (3 2 )=    9 Square of 4 (4 2 )= 16 Square of 5 (5 2 )= 25 Square of 6 (6 2 )= 36 Square of 7 (7 2 )= 49 Square of 8 (8 2 )= 64 Square of 9 (9 2 )= 81 2.      From this we can infer that Square root of any number which ends with 1 will end with 1 or 9 (1+9=10). Square root of any number which ends with 4 will end with 2 or 8 (2+8=10). Square root of any number which ends with 9 will end with 3 or 7 (3+7=10). Square root of any number which ends with 6 will end with 6 or 4 (6+4=10). If the square ends in         1        4        9        6         5   ...

Complement of a Number    Octal and Hexadecimal Number    Convert Decimal to Binary Subtraction of numbers by using complement Subtraction with r’s Complements The direct method of subtraction taught in elementary schools uses the borrow concept. In this method, we borrow a 1 from a higher significant position when the minuend digit is smaller than the corresponding subtrahend digit. This seems to be easiest when people perform subtraction with paper and pencil. When subtraction is implemented by means of digital components, this method is found to be less efficient than the method that uses complements and addition as stated below.      The subtraction of two positive numbers (M - N), both of base r, may be done as follows: 1.        Add the minuend M to r’s complement of the subtrahend N. 2.        Inspect the result obtained in step 1 for an end carry: a.  ...

     This article is used to find out the square of  a number in a short period of time compare to normal maths. It increase the speed of your calculations.  The answer obtained by multiplying a number by itself is the square of that number. Example :- 6×6= 36 which is the square of 6.                          8×8= 64 which is the square of 8.      1.   Square of numbers ending in 5 :- Example 1-: 35 2 =   ? Step 1:- Multiply the first part by the first part plus 1: 3 ×(3+1) =3×4 =12 Step 2:- Write the number 25 next to the result from step 1: 35 2 = 12_25 = 1225 Example 2-: (in 3 digits) 125 2 =   ? Step 1:- Multiply the first part by the first part plus 1: 12 ×(12+1) =12×13 =156 Step 2:- Write the number 25 next to the result from step 1: 125 2 = 156_25 = 15625 Example 3-: (in decimal numbers) 9.5 2 =     ? Step 1:- M...