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ashish.agra1947@gmail.com
Puzzle a day keeps ‘RUSTING’
            away
Round ‘A’
Numbers
Audience.1
         Save the most precious??
• There is a flat with 3 rooms in it. 1st is filled
  with gold coins, 2nd has dollar notes and 3rd
  has cotton. Suddenly a massive fire broke out.
  Ambulance rushes in to extinguish fire. But
  due to lack of time it can save just one room.
  Which room should it save?




                    ashish.agra1947@gmail.com
A.1 --- I hate ‘’’numbers’’’
• Predict the next number in this series and give
  a logical explanation.

  1 11 21 1211........




                   ashish.agra1947@gmail.com
A.2 --- I hate ‘’’numbers’’’
• Predict the next number in this series and give
  a logical explanation.

  93 28 17 8 1




                   ashish.agra1947@gmail.com
A.3 --- I hate ‘’’numbers’’’
• Predict the next number in this series and give
  a logical explanation.

  2   8   26    62        122 ___




                   ashish.agra1947@gmail.com
A.4 --- I hate ‘’’numbers’’’
• Predict the next number in this series and give
  a logical explanation.

  2   3   3    5 10           13 ___




                   ashish.agra1947@gmail.com
Round ‘B’
 Creativity
Audience.2
         Can you think out of box??
• Join the 9 points with
  four lines without lifting
  pen.




                       ashish.agra1947@gmail.com
B.1. Matchsticks
• Remove 4 matchsticks
  from the arrangement
  below so that exactly
  five identical squares
  remain, and every
  remaining matchstick is
  a part of atleast one of
  these squares.



                     ashish.agra1947@gmail.com
B.2. Please save priests….
• There are 3 priests and 3 dacoits on one side of the river. There is a boat to
  cross the river which can take two person at a time. Atleast one of them
  has to return so as to bring boat back at same end. Whenever the dacoits
  are in majority at either side, they will kill the priest. How you will bring all
  6 to the other side making sure no priest is killed??




                                ashish.agra1947@gmail.com
B.3. Apply- Supply chain management
• Four people A,B,C,D come to a
  river in the night. There is a
  narrow bridge, but it can only
  hold two people at a time.
  Because it's night, the torch has
  to be used when crossing the
  bridge. Person A can cross the
  bridge in 1 minute, B in 2
  minutes, C in 5 minutes, D in 6
  minutes. When two people cross
  the bridge together, they must
  move at the slower person's
  pace. Note that the torch must be
  with the people who are crossing
  the bridge.
  What would be the minimum
  time required for the four people
  to cross the bridge?

                            ashish.agra1947@gmail.com
B.4.---- Mathematical Circles
• There are 11 circles in
  total.
• Fill the circles with
  digits 1-11 such that
  sum across a line is
  same for all.




                      ashish.agra1947@gmail.com
Matchstick Game – 50 points
• Two player game.
• One player from each team will come.
• We have 28 matchsticks in total.
• Each player can pick either one or two
  matchstick in one round.
• One who picks the last will win the game.



                  ashish.agra1947@gmail.com
ROUND ‘C’
Brain Teasers
Audience.3
              Flaw in the story?
• Ram goes to hear Satyanarayan Bhagwan katha at
  Shyam’s house. After listening to 3 parts, he fells
  asleep. In his dream he saw that he is travelling
  from a superfast train. On the same track another
  superfast train is coming in opposite direction.
  Massive collision takes between the trains. Ram
  gets so afraid in his dreams that he dies in real.
  After the katha got ended, Shyam tries to wake
  him up to find him dead. Considering this to be a
  real story where is the flaw?

                    ashish.agra1947@gmail.com
C.1. Chalo Bag khozein
• There are 10 bags each with 10 coins. Weight
  of each coin is 10gm. But in one of the bag all
  coins are 9gm in weight.
• You are given a spring balance which can be
  used only once.
• Find out the bag with defective coins?



                   ashish.agra1947@gmail.com
C.2.       Which way to go?
• You're travelling to some village. At some point
  there is a fork in the road. You could go two ways
  but only one of them leads to the village.
• Lucky for you there are two men standing next to
  the fork. But unfortunately one of them always
  lies and one always speaks the truth and you do
  not know who is who.
• Since the men do not really like to help you, you
  are allowed to ask one of them only one
  question. Which question should you ask?
                    ashish.agra1947@gmail.com
C.3.      Change the setting
• You are allowed to move only 3 coins.




                  ashish.agra1947@gmail.com
C.4. ----- How to fill boxes??
• An apple vendor has 1000 apples and 10
  empty boxes. He has to place all in such a
  manner that if a customer asks for any
  number of apples from 1 to 1000, he should
  be able to pick them in terms of boxes.
• Given that any number of apples can be put in
  one box.


                  ashish.agra1947@gmail.com
Audience.4
                    Positioning
• Fill the 8 cells with
  digits 1-8 so that no two
  consecutive digits are in
  cells touching each
  other in any fashion.




                      ashish.agra1947@gmail.com
Audience.5
                  Superstitious Boss
• Mr. Fisher is a night watchman in a large company. On a certain
  morning when Mr. Fisher wants to go home, his boss tells him: "I'll
  go for a business trip to Norway.
• Tomorrow I will depart from Heathrow airport." Mr. Fisher however
  advises him to take a boat. "Why should I?" asked the president.
• "This night I dreamed that the plane to Norway crashes, just before
  it will land," is the response. The president smiles first,
• but since he is pretty superstitious he decides to take the boat.
  When he arrives in Norway, he is told that the plane which he
  should have taken had crashed.
• When the president returns from the trip, he gives a big reward to
  Mr. Fisher and immediately fires him. Why?




                          ashish.agra1947@gmail.com
Audience.6
                Bechara Snail
• A snail is at the bottom of a 20 meters deep
  pit. Every day the snail climbs 5 meters
  upwards, but at night it slides 4 meters back
  downwards.
• How many days does it take before the snail
  reaches the top of the pit?



                   ashish.agra1947@gmail.com
Audience.7
                 Out of box part-2
•   A into 2 equal parts
•   B into 3 equal parts
•   C into 4 equal parts
•   D into 5 equal parts




                       ashish.agra1947@gmail.com
Audience.8
         Every king has one ‘Birbal’
• A king was about to die. He had two sons. He wanted
  to divide the kingdom equally. But both sons were
  greedy and they wanted whole kingdom. So, king kept
  a proposal. He organized a horse riding race. The punch
  of the race was the horse which reaches first, the
  owner will lose the race. Race started. If Ram took a
  break for an hr, Shyam takes for two hrs and vice versa.
  So, the race was not looking to get finished in near
  future. King called the most intelligent guy of his
  Darbar. The person said something to both the sons.
  They resumed race and race finished quickly. What that
  person would have said?


                      ashish.agra1947@gmail.com
Solution




ashish.agra1947@gmail.com
Audience.1
        Which is more precious??
• Solution:
  – Ambulance never extinguishes fire.




                    ashish.agra1947@gmail.com
A.1. I hate ‘’’numbers’’’
• 1 11 21 1211 111221



• Solution
  – 1, Ek baar ek , do bar 1 , 1 baar 2 1 baar 1




                     ashish.agra1947@gmail.com
A.2.
• Predict the next number in this series and give
  a logical explanation.

  93 28 17 8 1
• Solution :
  – (multiply unit place and tens place digits) + 1




                     ashish.agra1947@gmail.com
A.3.
• Predict the next number in this series and give
  a logical explanation.

  2 8 26 62 122 ___
• 1^3 +1 , 2^3 + 0, 3^3 -1 , 4^3 -2…..




                   ashish.agra1947@gmail.com
A.4 --- I hate ‘’’numbers’’’
• Predict the next                 •    2+1=3
  number in this series            •    3*1=3
  and give a logical               •    3+2 = 5
  explanation.
                                   •    5*2 =10
  2 3     3    5 10 13             •    10+3 =13
  ___                              •    13*3 =39




                     ashish.agra1947@gmail.com
B.2. Please save priests….
• Solution:
  – Let priest – P and Dacoit – D
  – P1 D1 goes , P1 comes back.
  – D2 D3 goes, D2 comes back.
  – P1 P2 goes, P1 D1 comes back.
  – P1 P3 goes, D3 comes back.
  – D3 D2 goes, D3 comes back and finally
  – D3 D1 goes…..

                   ashish.agra1947@gmail.com
B.3. Pehle kaun
• Solution:
   – 1,2 goes and 1 comes
     back (3min)
   – 5,6 goes and 2 comes
     back ( 8min)
   – 1, 2 goes (2min)
   – Total we need 13min




                       ashish.agra1947@gmail.com
B.4.--- Mathematical Circles
• There are 11 circles in
  total.                                               11
                                                   6        10
• Fill the circles with
  digits 1-11 such that                 5                        9
  sum across a line is
  same for all.
                                                       1
• Solution: fill one in the
                                        4                        8
  centre
                                                   3        7
                                                       2
                       ashish.agra1947@gmail.com
C.1. Chalo Bag Khojein
• Take one from bag 1, two from bag 2, three
  from bag 3 and so on....Sum should be
  550..what ever more/less wt is will tell us the
  bag.




                   ashish.agra1947@gmail.com
C.2.       Which way to go?
• --------if i ask 2nd person which is the right
  path what will he say...




                    ashish.agra1947@gmail.com
C.3.      Change the setting
• You are allowed to move only 3 coins.
• Move all the three corner once.




                  ashish.agra1947@gmail.com
C.4… How to fill boxes??
• We will keep it in the sequence 1,2,4,8,….
• Fundamental of binary digits comes into
  picture.
• 10bits together form 1024 combinations.
  Same way 10 boxes can be filled in a manner
  that we can get any figure between 1 to 1024
  apples.


                  ashish.agra1947@gmail.com
Audience.4
• Solution
  – Trick is to write the
    extreme digits in the
                                                   3   5
    middle.
                                             7     1   8   2
  – Once we have written 1                             6
                                                   4
    and 8 in middle two,
    then 2 will be at right
    hand most cell and 7 will
    be in left hand most cell
    and so on.


                       ashish.agra1947@gmail.com
Audience.5
          The superstitious Boss
• He was not supposed to sleep in night...so, he
  got reward for saving life but since he didn’t
  do his job properly so he was fired.




                   ashish.agra1947@gmail.com
Audience.7
                 Out of box part-2
•   A into 2 equal parts
•   B into 3 equal parts
•   C into 4 equal parts
•   D into 5 equal parts




                       ashish.agra1947@gmail.com

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Classic Puzzles

  • 2. Puzzle a day keeps ‘RUSTING’ away
  • 4. Audience.1 Save the most precious?? • There is a flat with 3 rooms in it. 1st is filled with gold coins, 2nd has dollar notes and 3rd has cotton. Suddenly a massive fire broke out. Ambulance rushes in to extinguish fire. But due to lack of time it can save just one room. Which room should it save? ashish.agra1947@gmail.com
  • 5. A.1 --- I hate ‘’’numbers’’’ • Predict the next number in this series and give a logical explanation. 1 11 21 1211........ ashish.agra1947@gmail.com
  • 6. A.2 --- I hate ‘’’numbers’’’ • Predict the next number in this series and give a logical explanation. 93 28 17 8 1 ashish.agra1947@gmail.com
  • 7. A.3 --- I hate ‘’’numbers’’’ • Predict the next number in this series and give a logical explanation. 2 8 26 62 122 ___ ashish.agra1947@gmail.com
  • 8. A.4 --- I hate ‘’’numbers’’’ • Predict the next number in this series and give a logical explanation. 2 3 3 5 10 13 ___ ashish.agra1947@gmail.com
  • 10. Audience.2 Can you think out of box?? • Join the 9 points with four lines without lifting pen. ashish.agra1947@gmail.com
  • 11. B.1. Matchsticks • Remove 4 matchsticks from the arrangement below so that exactly five identical squares remain, and every remaining matchstick is a part of atleast one of these squares. ashish.agra1947@gmail.com
  • 12. B.2. Please save priests…. • There are 3 priests and 3 dacoits on one side of the river. There is a boat to cross the river which can take two person at a time. Atleast one of them has to return so as to bring boat back at same end. Whenever the dacoits are in majority at either side, they will kill the priest. How you will bring all 6 to the other side making sure no priest is killed?? ashish.agra1947@gmail.com
  • 13. B.3. Apply- Supply chain management • Four people A,B,C,D come to a river in the night. There is a narrow bridge, but it can only hold two people at a time. Because it's night, the torch has to be used when crossing the bridge. Person A can cross the bridge in 1 minute, B in 2 minutes, C in 5 minutes, D in 6 minutes. When two people cross the bridge together, they must move at the slower person's pace. Note that the torch must be with the people who are crossing the bridge. What would be the minimum time required for the four people to cross the bridge? ashish.agra1947@gmail.com
  • 14. B.4.---- Mathematical Circles • There are 11 circles in total. • Fill the circles with digits 1-11 such that sum across a line is same for all. ashish.agra1947@gmail.com
  • 15. Matchstick Game – 50 points • Two player game. • One player from each team will come. • We have 28 matchsticks in total. • Each player can pick either one or two matchstick in one round. • One who picks the last will win the game. ashish.agra1947@gmail.com
  • 17. Audience.3 Flaw in the story? • Ram goes to hear Satyanarayan Bhagwan katha at Shyam’s house. After listening to 3 parts, he fells asleep. In his dream he saw that he is travelling from a superfast train. On the same track another superfast train is coming in opposite direction. Massive collision takes between the trains. Ram gets so afraid in his dreams that he dies in real. After the katha got ended, Shyam tries to wake him up to find him dead. Considering this to be a real story where is the flaw? ashish.agra1947@gmail.com
  • 18. C.1. Chalo Bag khozein • There are 10 bags each with 10 coins. Weight of each coin is 10gm. But in one of the bag all coins are 9gm in weight. • You are given a spring balance which can be used only once. • Find out the bag with defective coins? ashish.agra1947@gmail.com
  • 19. C.2. Which way to go? • You're travelling to some village. At some point there is a fork in the road. You could go two ways but only one of them leads to the village. • Lucky for you there are two men standing next to the fork. But unfortunately one of them always lies and one always speaks the truth and you do not know who is who. • Since the men do not really like to help you, you are allowed to ask one of them only one question. Which question should you ask? ashish.agra1947@gmail.com
  • 20. C.3. Change the setting • You are allowed to move only 3 coins. ashish.agra1947@gmail.com
  • 21. C.4. ----- How to fill boxes?? • An apple vendor has 1000 apples and 10 empty boxes. He has to place all in such a manner that if a customer asks for any number of apples from 1 to 1000, he should be able to pick them in terms of boxes. • Given that any number of apples can be put in one box. ashish.agra1947@gmail.com
  • 22. Audience.4 Positioning • Fill the 8 cells with digits 1-8 so that no two consecutive digits are in cells touching each other in any fashion. ashish.agra1947@gmail.com
  • 23. Audience.5 Superstitious Boss • Mr. Fisher is a night watchman in a large company. On a certain morning when Mr. Fisher wants to go home, his boss tells him: "I'll go for a business trip to Norway. • Tomorrow I will depart from Heathrow airport." Mr. Fisher however advises him to take a boat. "Why should I?" asked the president. • "This night I dreamed that the plane to Norway crashes, just before it will land," is the response. The president smiles first, • but since he is pretty superstitious he decides to take the boat. When he arrives in Norway, he is told that the plane which he should have taken had crashed. • When the president returns from the trip, he gives a big reward to Mr. Fisher and immediately fires him. Why? ashish.agra1947@gmail.com
  • 24. Audience.6 Bechara Snail • A snail is at the bottom of a 20 meters deep pit. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. • How many days does it take before the snail reaches the top of the pit? ashish.agra1947@gmail.com
  • 25. Audience.7 Out of box part-2 • A into 2 equal parts • B into 3 equal parts • C into 4 equal parts • D into 5 equal parts ashish.agra1947@gmail.com
  • 26. Audience.8 Every king has one ‘Birbal’ • A king was about to die. He had two sons. He wanted to divide the kingdom equally. But both sons were greedy and they wanted whole kingdom. So, king kept a proposal. He organized a horse riding race. The punch of the race was the horse which reaches first, the owner will lose the race. Race started. If Ram took a break for an hr, Shyam takes for two hrs and vice versa. So, the race was not looking to get finished in near future. King called the most intelligent guy of his Darbar. The person said something to both the sons. They resumed race and race finished quickly. What that person would have said? ashish.agra1947@gmail.com
  • 28. Audience.1 Which is more precious?? • Solution: – Ambulance never extinguishes fire. ashish.agra1947@gmail.com
  • 29. A.1. I hate ‘’’numbers’’’ • 1 11 21 1211 111221 • Solution – 1, Ek baar ek , do bar 1 , 1 baar 2 1 baar 1 ashish.agra1947@gmail.com
  • 30. A.2. • Predict the next number in this series and give a logical explanation. 93 28 17 8 1 • Solution : – (multiply unit place and tens place digits) + 1 ashish.agra1947@gmail.com
  • 31. A.3. • Predict the next number in this series and give a logical explanation. 2 8 26 62 122 ___ • 1^3 +1 , 2^3 + 0, 3^3 -1 , 4^3 -2….. ashish.agra1947@gmail.com
  • 32. A.4 --- I hate ‘’’numbers’’’ • Predict the next • 2+1=3 number in this series • 3*1=3 and give a logical • 3+2 = 5 explanation. • 5*2 =10 2 3 3 5 10 13 • 10+3 =13 ___ • 13*3 =39 ashish.agra1947@gmail.com
  • 33. B.2. Please save priests…. • Solution: – Let priest – P and Dacoit – D – P1 D1 goes , P1 comes back. – D2 D3 goes, D2 comes back. – P1 P2 goes, P1 D1 comes back. – P1 P3 goes, D3 comes back. – D3 D2 goes, D3 comes back and finally – D3 D1 goes….. ashish.agra1947@gmail.com
  • 34. B.3. Pehle kaun • Solution: – 1,2 goes and 1 comes back (3min) – 5,6 goes and 2 comes back ( 8min) – 1, 2 goes (2min) – Total we need 13min ashish.agra1947@gmail.com
  • 35. B.4.--- Mathematical Circles • There are 11 circles in total. 11 6 10 • Fill the circles with digits 1-11 such that 5 9 sum across a line is same for all. 1 • Solution: fill one in the 4 8 centre 3 7 2 ashish.agra1947@gmail.com
  • 36. C.1. Chalo Bag Khojein • Take one from bag 1, two from bag 2, three from bag 3 and so on....Sum should be 550..what ever more/less wt is will tell us the bag. ashish.agra1947@gmail.com
  • 37. C.2. Which way to go? • --------if i ask 2nd person which is the right path what will he say... ashish.agra1947@gmail.com
  • 38. C.3. Change the setting • You are allowed to move only 3 coins. • Move all the three corner once. ashish.agra1947@gmail.com
  • 39. C.4… How to fill boxes?? • We will keep it in the sequence 1,2,4,8,…. • Fundamental of binary digits comes into picture. • 10bits together form 1024 combinations. Same way 10 boxes can be filled in a manner that we can get any figure between 1 to 1024 apples. ashish.agra1947@gmail.com
  • 40. Audience.4 • Solution – Trick is to write the extreme digits in the 3 5 middle. 7 1 8 2 – Once we have written 1 6 4 and 8 in middle two, then 2 will be at right hand most cell and 7 will be in left hand most cell and so on. ashish.agra1947@gmail.com
  • 41. Audience.5 The superstitious Boss • He was not supposed to sleep in night...so, he got reward for saving life but since he didn’t do his job properly so he was fired. ashish.agra1947@gmail.com
  • 42. Audience.7 Out of box part-2 • A into 2 equal parts • B into 3 equal parts • C into 4 equal parts • D into 5 equal parts ashish.agra1947@gmail.com