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

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 ,................

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

Pattern Recognition-78

Find out the missing number

10     3     6     4     5     11
4      13    ?     7     10     4


Answer

10     3     6     4     5     11                    (10+6)-3 = 13
4     13    ?     7     10     4

10    3     6    4     5     11                       (3+4) -6 =1
4     13    ?     7     10     4

10    3    6     4     5     11                       (6+5) -4 =7
4     13    ?    7     10     4

10    3     6     4     5     11                        (4+11) -5 =10
4     13   ?     7     10     4

10   3     6     4     5     11                        (5+10) -11=4
4     13   ?     7    10    4

Missing number = 1

There is another excellent answer from someone @ office.

"I have taken the numbers in blocks of four, two from each of the top and bottom lines moving from right to left and all four blocks total 30.

ie. 10, 3, 4 and 13 = 30
     6, 4, 13 and 7 =30
     5, 11, 10 and 4 =30. "

missing number = 13

Pattern Recognition -77

Find out the next two numbers in the series.

153 , 186 , 1119 , 11412 , _ ,_ ,................


Answer

153     = 1  (1*3 +2) 3

186     = 1 (1 *6 +2) 6

1119   = 1 (1*9 +2) 9

11412 =1 (1*12 +2) 12

Next two numbers

1   (1*15 +2) 15  ,  1 (1*18 +2) 18         = >   11715 , 12018

153 , 186 , 1119 , 11412 , 11715 ,12018 ,................

Life lessons I have learnt outside the class room

These lessons are not just from theory but also I have experienced or I have learnt by observing or by studying people.

“To be yourself in a world that is constantly trying to make you something else is the greatest accomplishment.” - Ralph Waldo Emerson  

 "What we send out will come back to us multiplied. Send out those that you want to receive back." -unknown

"Be courageous no matter how hard the battle gets. No one knows what tomorrow may bring." -unknown
 

"The harder the exam the greater the reward" Life is no exception. Be glad if you get to go through more and more challenges as there will be an awesome reward waiting for you at the end of the battle. No pain No gain. -unknown (Robin Sharma ?)

"Keep calm and do your best"
“Any one can criticize, condemn, and complain but it takes character and self control to be understanding and forgiving.” -unknown

"Do not take anyone or anything for granted. Be grateful always" -unknown

 "Nothing is permanent here. No one is permanent here. Treat every human being with respect and be kind to them" -unknown

"We all were created with some talent in us. Unfortunately,for some reason,not every one gets a chance to realize it and express it" -unknown

And there is many more. I may update them later.

Pattern Recognition - 76

Find the next two numbers in the series. 

 23 , 132 , 2311 , 11132 , _ , _ , ...................

Answer

23 ,        132 ,        2311 ,    11132            ,_  , _ , ...................

23 , Reverse(231) , 2311, Reverse(23111), _ ,_

Next two numbers 231111, Reverse(2311111)   = >  231111 , 1111132

23 , 132 , 2311 , 11132 ,  231111 , 1111132, ...................

Pattern Recognition-75

Find out the next number in the series.

112, 2 , 461 , 24 , 331 , 9 ,512 , _ ,................

Answer

112, 2 , 461 , 24 , 331 , 9 ,512 , _ ,................

2 = 1 * 1 *2

24=4 * 6 * 1

9=3 * 3 * 1

?= 5* 1 *2 = 10

Next number - 10

Pattern Recognition -74

Find the next two numbers in the series.

4 , 53 , 552 , 5551 , _ ,_

Answer

4 ,       53 ,      552 ,     5551  ,  _  ,_

(5-1) , (55-2), (555-3) , (5555-4) ,     (55555-5) , (555555-6)

Next two numbers   55550  , 555549

Unforgettable Memories

This was written for my 5^th speech project – “Your body speaks” in Toastmasters. I thought it would be better to select a story or experience kind of thing where you can explain/elaborate things using expressions and gestures. I guess my body spoke quite well. :)

How many of you like beach and Sea?  I do like them a lot But I’m so scared to get into the water especially Sea. I’m scared even to soak my legs at the shore. If I see the waves coming even tiny ones I’ll take a step back. Do you think I’m that brave? :) Well, one terrific experience in my life has made me have a water phobia.

When I was doing my internship at Virtusa we as a team went on a team outing to a beach side hotel in Negombo. It was the last quarter of the year; November or December; a rainy season. We were advised not to go into the sea as it was very rough and huge waves were there. No one listened to it and all of us got into the sea. We all stood in a row holding each others hands. I was at the right end next to my university friend that also was with me there as an intern. I was holding her hand. We were watching the waves coming and going and enjoying the gentle touch of the water waves. Suddenly a huge wave came and that’s it. I just was pulled in and I was not sure what happened to others. The wave may not be that big as Tsunami but still a huge wave and no one could not help much. I slightly remember I was floating on the water in a 8 or 10 feet height.  I did not believe that there is a way to escape and it looked like waves going to take me more towards inside the Sea. What’s next? That’s it. That’s the end of the story I thought. It was my 3^rd year in the university and still I was not used to Colombo life. The major worry came into my mind is that I’m going to die in an unknown place which is far away from my home or home town and I thought my parents might not even get my body if I died.  Feelings were overflowing and haunting me. 

Then the magic happened. Another giant wave or may be the same wave came and pushed me to the shore. Once I reached towards the shore the people held me tightly and pulled me to the shore.  All these happened within a couple of minutes but it looked like an era.

Then only I realized not just me there were few others also pulled in.  Thank God. Everyone was safe at the end. I think that the undeniable destiny did not let us pass away.

As far as I remember it is the one and only near to death experience in my life so far. :)

Pattern Recognition -73

If  23=211

  24=321

  25=431     then

  37=?

Answer

23 = 2 3    = (3-1)  (3-2) (2-1)

24  = 2 4   = (4-1) (4-2) (2-1)

25  = 2 5  =  (5-1)  (5-2) (2-1)

37 =  3  7 = (7-1) (7-3) (3-1)  =6 4 2

37= 642

Pattern Recognition - 72

3, 24 , 63, ? , 195

What number should replace the question mark?


Answer

3  = (2 * 2) -1

24 = (5 *5) -1

63 =(8 *8) -1

Next number  (11 * 11) -1 =120

(14 * 14 ) -1 = 195

Missing number - 120

Pattern Recognition- 71

In the two numerical sequences below, one number that appears in the top sequence should appear in the bottom sequence and vice versa. Which two numbers should be changed round?

24, 41, 62, 78, 98

14, 32, 48, 59, 74

Source: Internet

Answer

24,      41,       62,        78,        98

     +17      +21      +26       +20

14,      32,       48,         59,        74

      +18     +16      +11        +15

17 ,     21 ,     26 ,    20   

      +4       +5      +6

if we replace 20 with 26+6= 32  then next number would be 78+32 =110 which is not there in the second series.

18,    16 ,   11 ,      15 

     -2       -5      +4    

If we consider a pattern 18,16,14,12 then the series would be   14 , 32 , 48 , 62 , 74   Here 62 has been taken from first series.

Now if we take first series  

24,        41,        59,         78,        98

       +17       +18       +19       +20         

 There is also a pattern now. So the numbers to be interchanged 62 and 59.

Pattern Recognition - 70

What number should replace the question mark?

10, 10, 9, 7, 7, ?, 4, 4, 3, 1,1

Source : Internet

Answer

10,  10, 9,  7,  7, ?,   4,   4, 3,   1,1

10,9    7,?     4,3    

Missing number - 6

Pattern 2

10,  10,  9,  7,  7,  ?,  4,  4,  3,  1, 1

10 ,  9 ,   7 ,    4 ,   3 ,   1
    -1   -2     -3     -1   -2

10 ,   7 ,    ? ,    4 ,   1
    -3       -2    -1    -3

Missing number - 5