Friday, 27 June 2014

TIPS & TRICKS TO FIND THE SQUARES & CUBES OF NUMBERS-1



Squares  have very important role in mathematics .In every competitive exam aptitude is one of the way of screening  process .for  the basic calculation we need the squares & cubes, so I am giving you some tips & tricks to learn the square & cubes .

Squares for the Numbers From 31 to 50
Let we want to know the square of the 43.(these tricks are only for  the 31 to 50 )
STEP 1:
·        Such numbers are treated in the form of  (50-x)
·        We can write 43  as 50-7.

STEP 2:
·        Answer has two parts – the first two & last two digits.
·        Last two digits are got by the last two digits in the value of (-7)2 =49,hence 49 will be the last two digits of the 432.

STEP 3:
·        The first two digits are derived by 25-7=18 (25 is a standard number to be used in all cases  & -7 comes from 50-7=43)
·        Hence the answer is 1849

Note :-In case there had been a carry over from the last two digit we add it in the first two digits.
if we want to find the 362  ,( 36=50-14)
(-14)2 =196    here 96 is the last two digits of the square & 1 Dismiss is the carry so in next step to find the first two digit we write it as 25-14+1=12
Hence the answer is 1296

For more tips & tricks ...stay tuned....


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