Saturday, December 26, 2015

Pattern Recognition - 82

Find out the next two numbers in the series.

1 , 4 , 27 , 4 , 25 , 216 , 7 ,64 , _ , _ , .................


Answer

1 = 1

4 =(2 *2)

27=(3 * 3 * 3)

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4 = 4

25= (5 * 5)

216= (6 * 6 *6)

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7= 7

64 =(8 * 8)

?= (9 *  9 * 9) = 729

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?= 10


Next two numbers    729 ,10

1 , 4 , 27 , 4 , 25 , 216 , 7 ,64 , 729 , 10 , .................

Saturday, December 19, 2015

Pattern Recognition -81

Find out the next two numbers in the series.

1, 2 , 4 ,7 , 12 , 19 , _  , _ ,....................


Answer


1,     2  ,  4   ,   7   ,    12   ,    19 , _  , _ ,....................
   +1    +2    +3     +5      +7

1 , 2 , 3 , 5 , 7 ,..........   prime number series

Next two numbers 11,13

1,     2  ,  4   ,   7   ,    12   ,    19 , (19+11) , (19+11+13) , _ ,....................

1,     2  ,  4   ,   7   ,    12   ,    19 , 30 ,  43 , _ ,....................

But there is an issue that I did not realize. 1 is not a prime number. :)   Prime number - Wikipedia, the free encyclopedia

Saturday, December 12, 2015

Pattern Recognition- 80

Find out the next two numbers in the series.

4, 9, 16 ,52 , 36 , 94, _ , _ ,................

Answer

Tn=(n+1) ^ 2 when n is odd

Tn=Reverse(n+1)^2) when n is even

T1= (1+1)^2 = 4

T2=Rev((2+1)^2) =9

T3= (3+1)^2 = 16

T4=Rev((4+1)^2) =52

T5= (5+1)^2 = 36

T6=Rev((6+1)^2) =94

T7= (7+1)^2 = 64

T8=Rev((8+1)^2) =18

Next two numbers  64,18

4, 9, 16 ,52 , 36 , 94, 64 , 18 ,................

Saturday, December 5, 2015

Pattern Recognition- 79

If we can denote mango as 15116104
then  orange =? 

Answer

a-1      e-2    i-3    o-4     u-5

b-6     c-7     d-8     f-9     g-10     h-11     j-12     k-13     l-14     m-15     n-16     p-17    q-18     r-19     s-20     t-21     v-22     w-23     x-24     y-25     z-26


mango  m a n g o - 15 1 14 10 4      15116104

orange  o r a n g e - 4 19 1 16 10 2   419116102