Exams

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

Prime factors of 

252 = 2 x 2 x 3 x 3 x 7; 

308 = 2 x 2 x 7 x 11; 

198 = 2 x 3 x 3 x 11

Therefore LCM of 252, 308 and 198 is 2 x 2 x 3 x 3 x 7 x 11 = 4 x 9 x 77 = 2772.

          2000xX100 + 4000xY100 = 320

and     2000xX100 + 10000xY100 = 680

x = 4  and  y = 6

x-y = -2

MIPS refers millions instruction per sec and is used to measure the speed of Processor.

The whole of India, south of the Himalayas can be climatically treated as a tropical country as the Himalayas provide the barrier effect. 

Indian subcontinent is separated from the rest of Asia by the lofty Himalayan ranges which block the cold air masses moving southwards from Central Asia.

 As a result, during winters, the northern half of India is warmer by 3°C to 8°C than other areas located on same latitudes.

During summer, due to over the head position of the sun, the climate in the southern parts resemble equatorial dry climate.

The seasonal reversal of winds in Arabian Sea and Bay of Bengal give India a typical tropical monsoon climate.

So Indian climate, to be precise, is Tropical monsoon type (a distinct wet and dry climate) rather than just a tropical or half temperate climate.