Pattern Recognition - 87

Find out the next two numbers in the series.

2529, 3531, 4548 , 5552 , _ , _ , ........................


Answer

2529, 3531, 4548 , 5552 , _ , _ , ........................

29 = 25+4 

31 = 35- 4  

48 = 45 +3

52 = 55 - 3 


Next two numbers   65 65+2    75  75-2     6567    7573


2529, 3531, 4548 , 5552 , 6567 , 7573 , ........................ 

Pattern Recognition -86

Find out the next two numbers in the series.

585431 , 135431 , 45431 ,9431, 1331,_ , _, .............. 


Answer

585431 , 135431 , 45431 ,9431, 1331,_ , _, ..............   5+8 =13

585431 , 135431 , 45431 ,9431, 1331,_ , _, ..............   1+3 =4

585431 , 135431 , 45431 ,9431, 1331,_ , _, ..............   4+5 =9

585431 , 135431 , 45431 ,9431, 1331,_ , _, ..............  9+4 =13

Next two numbers

1+3 =4               ------> 431

431 ---- 4+3 =7   ----->71

585431 , 135431 , 45431 ,9431, 1331,431 , 71, ..............

Pattern Recognition-85

Find out the next two numbers in the series.

100, 101100, 110111100, 1000101011100,_, _,......

Answer

If we convert the above numbers to decimal

100,  101100,  110111100,  1000101011100 ,_ , _ ,......

4     , 44        ,     444        ,    4444               ,_ , _ ,..............

Next two numbers    44444, 444444

44444 -----> 1010110110011100

444444 ----> 1101100100000011100

100, 101100, 110111100, 1000101011100, 1010110110011100  , 1101100100000011100 ,......

Pattern Recognition -84

Find out the next two numbers in the series.

5, 31 , 12 , 92 , 73 , _ , _ , ...................


Answer

5, 31 , 12 , 92 , 73 , _ , _ , ...................

Reverse form---> R

R(5), R(13) , R(21) , R(29) , R(37) , _ , _ , ...................

5 ,    13 ,    21 ,    29 ,  37, .....................
    +8    +8      +8     +8

Next two numbers   R(45) , R(53)

5, 31 , 12 , 92 , 73 , 54 , 35 , ...................

Pattern Recognition -83

Find out the next two numbers in the series.

664 , 849, 736 , 625 , _ , _ , ................................


Answer

664 , 849, 736 , 625 , _ , _ , ...... 64 =8 * 8

664 , 849, 736 , 625 , _ , _ , ...... 49 = 7 * 7

664 , 849, 736 , 625 , _ , _ , ...... 36= 6 * 6

664 , 849, 736 , 625 , 5.. , _ , ...... 36= 6 * 6

664 , 849, 736 , 625 , _ , _ , ......     (8 *8), (7*7) , (6*6), (5 *5) 

Next two numbers  16 , 9

664 , 849, 736 , 625 , 516 , _ , .....

664 , 849, 736 , 625 , 516 , 49 , .....

664 , 849, 736 , 625 , 516 , 49 , ................

 

There was another excellent answer from a guy at office.

6 --, 8--, 7--, 6--, 6--,5-- ,......

square numbers getting decreased

As per that

664 , 849, 736 , 625 , 616 , 59 , ................

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)

-------------------------------

4 = 4

25= (5 * 5)

216= (6 * 6 *6)

--------------------------------

 

7= 7

64 =(8 * 8)

?= (9 *  9 * 9) = 729

----------------------------------

?= 10

Next two numbers    729 ,10

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

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