SHREE BALAJI CLASSES (Rohit Sir)

                             Five Amazing Rivers of the World Rivers are the lifelines of the human civilization. They have been of great importance in the history of mankind, because ancient civilizations arose and flourished on the banks of mighty rivers in various parts of the world.      Great rivers have witnessed the growth of cities, rise and fall of empires and political and cultural movements on their banks. Rivers are the bedrock on which our civilizations are built. 1. Nile River : When you think of the River Nile, the first place that comes to your mind Egypt. Though only about one fourth of the Nile runs through Egypt, the two are concerned in a special way.         The River Nile is 6650 km long, and is the longest river in the world. It is formed from the White Nile, which originates at Lake Victoria and the Blue Nile, which orig...

    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.  ...