Simple Six

Consider the following pattern:

6 × 7 = 42 6\times 7=42 ,
66 × 67 = 4422 66\times 67=4422 ,
666 × 667 = 444222 666\times 667=444222 ,
6666 × 6667 = 44442222 6666\times 6667=44442222 .

Hence, evaluate:

66666666 × 66666667 66666666\times 66666667 .


The answer is 4444444422222222.

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7 solutions

Deepthi Prakash
Apr 22, 2014

the second number is not needed . how many sixes are in the first number? 8. so you put eight fours and eight twos to get 4444444422222222, that is the correct answer. it is a simple trick you know?

:D

Bj PulGo - 7 years, 1 month ago

yes, i to did in the same way

vijji lucky - 7 years, 1 month ago

Thankz! :D

Hansen Prima - 7 years, 1 month ago

Quite easy!

Anik Mandal - 7 years, 1 month ago

me too in same way

Sammer Bamnaha - 7 years, 1 month ago

simple one

Kapil Mittal - 7 years, 1 month ago

n(6)*(n-1)(6)(7) = n(4)n(2)

consider the formula! ....you know,

Saurabh Mallik
Apr 26, 2014

In this pattern we notice that the number of times 6 6 is repeated, that number of times 4 s 4's and 2 s 2's are written.

In the question given to evaluate there are 8 8 6's before the multiplication sign.

Thus the answer is: 66 , 666 , 666 × 66 , 666 , 667 = 4 , 444 , 444 , 422 , 222 , 222 66,666,666 \times 66,666,667 = \boxed{4,444,444,422,222,222}

Henrique Ribeiro
Apr 22, 2014

The number of algarisms of the first factor will be the same number of algarisms, but 4. And the number of the second factor will be the number of algarisms, but 2. 66666666 (first factor - 8 algarisms = 44444444) x 66666667 (second factor - 8 algarisms = 22222222) Then, 4444444422222222

that is very simple first look at the no. of 6 on right side of multipication sign because of that in equal to right side no. of 2 is increasing by 1 more then 6 and same for 4 no. 4 is same increasing as no. of 6 increasing on the left side of multipication sign in same as 6 increasing

Krishna Garg
Apr 21, 2014

With given trend first set has eight times 6 and in second set 7 times 6 and then7 so answer is 4444444422222222 K.K.GARg,INDIA

easy easy

supriya dornala - 6 years, 7 months ago

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