Pattern Recognition - 113

If
5 +2 =17
4+3 =19
7+2 =23

then 6+1 =?


Answer

5 + 2  => (5*2) +5 +2 =17
4 + 3  => (4*3) +4 + 3 =19
7 + 2  => (7* 2) + 7 +2=23

6+ 1   => (6*1)+6 +1 = 13

Pattern Recognition - 112

Find out the next two numbers in the series.
120813 , 141015 , 161219 , 181427 , _ , _ ,..................


Answer

120813 , 141015 , 161219 , 181427 , _ , _ ,..................
120813 , 141015 , 161219 , 181427 , _ , _ ,..................
120813 , 141015 , 161219 , 181427 , _ , _ ,..................

12 ,  14 ,   16 ,   18 ,_ ,_,............................... Next two numbers 20 , 22
     +2    +2     +2
08 ,  10 ,  12    , 14,_,_ ,.............................   Next two numbers 16, 18
    +2     +2    +2
13, 15 ,   19 ,   27 , _ , _ ,..................Next two numbers 27+16=43,43+32=75
   +2  +4     +8

Next two numbers in the original series  201643 , 221875
120813 , 141015 , 161219 , 181427 , 201643 , 221875 ,..................

Pattern Recognition - 111

Find out the next two numbers in the series.
6616 , 5814 , 5012 , 4210, _ , _ , .....................


Answer

6616 , 5814 , 5012 , 4210, _ , _ , ..................... 
66 , 58 , 50 ,42 ,.........   Next two numbers 34,26
6616 , 5814 , 5012 , 4210, _ , _ , .....................
16 , 14 , 12 , 10 ,........... Next two numbers  8,6

Next two numbers in the original series 348 , 266
6616 , 5814 , 5012 , 4210, 348 , 266 , .....................

There was another answer from some one at office - 3408, 2606 . I think that is also a correct answer. (to keep the number of digits(4) consistent)

Pattern Recognition - 110

Find out the next two numbers in the series.
14 , 916 , 2536 , 4964 , _  , _, ......................

Answer

14 ,    916 ,     2536 ,     4964 , _  , _, ......................
1,4 ,  9,16 ,     25,36 ,    49,64, _ , _ ,............ Square number series

Next four numbers in the series 81,100 , 121,144  
Next two numbers in the original series  81100, 121144

14 , 916 , 2536 , 4964 , 81100 ,121144 , ......................

Pattern Recognition - 109

Find out the next two numbers in the series.
113 , 135 , 3511 , 51121, _ , _ ,.......................


Answer
 
Tn =  Last two numbers (Tn-1)  [ (2 * First number(Tn)+Second number (Tn)]
113 , 135 , 3511 , 51121, _ , _ ,.......................
1 1 3 ,  1 3 ((1 * 2) +3) , 3511, 51121, _ , _ ,.......................
113 ,  1 3 5 , 3 5 ((2 * 3)+5), 51121, _ , _ ,.......................

Next two numbers   11 21 (11 *2)+21 = 112143
                            21 43 (21 *2)+43 = 214385

113 , 135 , 3511 , 51121, 112143, 214385 ,.......................