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I would like to share a few tricks which i found cool.

Two digit number and its reverse always divisble by 11

The sum of a two digit number and its reverse is always divisible by 11

eg (66+66/11 =132/11=12)

89+98 /11=17 etc etc)

Magic of 37

any 3 digit number where all the digits are same is divisible 37.yes!! 333,444,555,666…all are divisible by 37

Mental Multiplication with 11

multiplication by 11,for eg 35*11=385(3(3+5)5) keep the first and the last digit same and the middle digit is the sum of the two

multiplication of numbers with same tens digit

23*27=621.

step1: 2*(2+1)=6 is the first digit.

step2: 7*3=21 second digit

multiply numbers between 11 and 19.

eg) 18*14=252.

step 1: 18+4=22

now add a zero at the end we get 220

step 2 :multiply the right most digits 8*4=32

Add 220 and 32

we get 220+32=ans

The sum of 5 successive whole numbers is always divisible by 5

eg) 6+7+8+9+10=40 which is divisible by 5

The product of 3 consecutive natural numbers is always divisible by 6

eg) 6*7*8=336/6=56

The product of 3 consecutive natural numbers is always divisible by 24(if the first of the 3 natural consecutive natural numbers is even)

8*9*10=720/24=30

The last digit of the product of any 9 consecutive natural numbers is always 0

eg )(1*2*3*4*5*6*7*8*9=362880)

(as the product of any 5 consecutive natural numbers is always 0)

mentally squaring for 5

eg) 35*35=3*(3+1)…..25=1225