New day, New beginning

The decade edition of the International School Championship, Technothlon ’13, finished off at the zenith. With the new version just around the corner, we have decided to make a tweak here and a turn there, all in the hopes of making Technothlon ’14 even more fascinating for you.

We change to improve, to attain perfection. In this regard, we have decided to shift the Technothlon BLOG to tumblr.com. We request our ardent readers to continue following us at technothlon.tumblr.com . All further updates will be posted on our new blog.
Stay tuned.

The One with the "Puzzle Mania"

Going In Circles 

---

Frogs of the Blobland, each occupying a leaf in their auspicious pond, have to arrange themselves for an holy ceremony. Full of mischief, rather than jumping directly to their correct positions, they start playing a game. They fix a frog and then the six frogs encircling it, will jump to their in-circle-neighbour’s leaf in an anticlockwise fashion (count as 1 move). Then they will choose a new frog at random, and repeat till they are arranged.The frog being chosen as the center must have exactly six neighbors encircling him.  Can you be a good instructor, and help them finish the game in least possible moves?
(How to answer? If  it takes a total of 123 moves then answer it as 0123 )

Collapsing Towers

---

A township, owned by Kushal resembles a 10 X 10 grid with each block containing towers, which need to be collapsed. His civil engineer, Yogesh has developed a device which when placed in any of the blocks, and triggered, collapses all the towers in the horizontal and vertical direction, but its effect cannot pass through the barriers marked in the grid. It must be ensured that it doesn’t destroy
another device, already placed in the grid.

Numbered barriers indicate the quantity of devices that could be placed in the horizontally or vertically adjacent blocks. For a crossed barrier, you can put any number of devices beside it. The devices can also be placed in a block that is not adjacent to a barrier.

Question 1:
Vinay has created 34 devices, for the plot-1.
How may these devices will not come in use?

Question 2:

To use the remaining devices, they have contracted with  another builder, Dhruv 0wning plot-2. Please help them place the devices on that grid. (Represent the position of device by shading that particular square in the particular square.)

Starry Nights

---

One summer night, little Vishal was lying on the roof waiting for sleep. He suddenly captures a group of 25 stars which were arranged in a 5*5 grid, which sounds weird, but that’s how it was, at least as per what he remembers.

With a close observation, he found that there were five brightness levels (1-5) of the stars and that no 2 stars of the same row or the same column had the same brightness level.

He was much more amazed to recognise 5 special constellations in the group, each containing 5 stars, one of each brightness level. Each star belongs to only one of these 5 constellation.

Next morning, he wanted to share his ‘starry’ experience with his friends; Zilani,Pavan and Manikanta, but unfortunately he could recall only a little bit of it, and he penned down  only those details , for which he was certain.

Help him complete the ‘starry’ grid.
(Put the brightness levels of stars in the grid and join boxes to make the constellations.Arrange the constellations  in the grid ,including the numbers, circles and lines. The lines joining the stars may cross each other when constellations are kept in the grid)

Hit and Trail

---

 

The great Indian Scientist, Roshan has been captured, and sent to jail, by the inhabitants of the planet,  Zorgo.
After acquiring all the knowledge he has, the aliens have given him a chance to save his life. He can escape by reaching the exit door, by moving either left, right, up, or down. But it’s not that simple, once he starts moving, he can be stopped only by a hit with  some barrier, or else, if he moves out of the allotted area; he is dead, Also, the slant edged barriers reflect him, on being encountered.
Whtas the minimum number of moves made by Roshan before he escapes ?
(Don’t count Hit with “End” )

Mine Boggling

---

A free-lance developer Manikanta got bored of the old dull Minesweeper. To give it a new twist, he has come up with this Min’E’- Boggling puzzle. The player has to find the positions where mines have been planted.The rules are simple: The numbers along a row or below a column list the sizes of the groups of adjacent mines, in that row or column. But there’s a catch, there can be any

number (>0) of safe squares between any two groups. For your help, some mines have

already been flagged.Let’s check out the beta-version of the game!

The One With "Yo"le

Last Brick of our Techno wall. The co-West Regional head is the one who keeps inspiring the entire team to maintain the level of perfection and the lines that best describe him can be: "Bando mein banda, perfect bemisal sa....Kukkad kamaal da...."  Always accomplishing the task with the best possible level of perfection, his name is mostly written in an imperfect fashion, as DurWank (while actual being DurVank)! P.S. : Though you might have read the word 'perfect' many times in the post, but we can't help it... he is perfection personified (:P).

Durvank Yewle

---

The One With The "Foodie"

Crisis Manager of our team. He is the guy whom we trust the most be it the South region publi or the hardcore work of Techno'13. Him being the stomach of Techno'13 we make sure that he never misses any treat to compensate our share.(:P) A person who cares a lot about others, always makes them smile with his intentionally done silly (funny) acts. Athletic, robotic guy is an awesome team mate. Encompassing all, he is the best at whatever he does: let it be interaction, let it be his work or satisfying his appetite.

Om Prakash Reddy

---

The One With The Matematica

As promised Technothlon team is back to take the discussion further, and to more core sections. The discussion for the section, 'INGENIOSO MATEMATICA' will be on for another 2 days. There's a lot to gain from these questions. Hope to see you all commenting with your strategies, and a few shortcuts you might have discovered accidentally during the prelims.

"Juniors"

Q-1:

In the botanical garden owned by Vijay, there are three type of plants; ones which bear red flowers (I), ones which bear pink flowers (II), and rest bear both (III). Currently, the garden accommodates equal number of flowers from each category. As an effect of fertilizers, the red ones have lost their ability to reproduce and the rest two have equal chance to reproduce any of the three types, but one plant can reproduce only one plant at a time. The moment type-III plant is produced; the mother plant is treated so as to stop reproducing. If this continues for a long time, what would be the average number of child plants, that a mother plant ( type II and III) would have?

1) 1                   2) 3                  3) 2                  4) 6

Q-2:

Kanheiya has joined the summer camp, where he gets to solve some interesting problems to sharpen his brain. He has been given 2 cubes, using which he has to represent all the months and dates. Each face of a cube bears different digits (from 0-9), but the digits on the two cubes can be the same. He does that first assuming that ‘5’ will be represented as ‘5’ and not ‘05’. He then repeats the same for the case where ‘5’ is represented as ‘05’. What’s the minimum number of common faces the two cubes can have, with first cube faces adding up to give the least sum, in the two cases.

1) 2,2               2) 2,3               3) 3,3               4) 3,2

Q-3:

Megha has been selected as the Event Organizer for the upcoming Rangoli Competition in your society and has to buy 100 colour packets, using only the society fund of Rs. 100. She decides to spend all the fund for buying colours only. A red colour packet costs Rs. 6 each, a yellow one Rs. 3 and Green one for Rs 0.10. How many colour packets will she have?

(How to answer? If Megha bought 15 Red packets, 50 Yellow packets, and 35 Green packets then your answer should be: 5035 i.e. first two digits will be the number of yellow packets and the last two digits will be the number of green packets.)

Q-4:

Sanny is trying to label two wires with their capacity, which is the maximum weight it can handle. He knows that the capacity of both the wires is the same and is between 1 and 100 kg. He has 100 weights: 1kg, 2kg, 3kg, …., 100kg, to test the capacity. What is the least number of trials required by Sanny for knowing the capacity?

(How to answer? If he takes 123 trials, then answer 0123.)

Q-5:

Eight shopkeepers, who used to quarrel a lot among themselves, were given slot numbers by a fair owner as 1 to 8, such that the shopkeeper with a particular number will have his quarreling mates as his nearest numbers. The shops are separated by the roads as shown below. Now it’s the time to arrange their shops for the fair on the map such that no one will encounter his quarreling mate just next, in a row or a column or diagonally.

Sayantan, the owner has done it, can you?

(How to answer? Give the unit’s digit of all the three columns in the increasing order. Eg: if the three sums (left to right) are: 99,98,97, (which surely can’t be!) then the answer is: 0789.)

---

---

"Hauts"

Q-6:

There are 8 teams in a tournament, and are known by their captains names. Four matches will take place to select the teams for the next level. Every team plays only once. Three umpires have predicted the following winners, and see the coincidence, all three of them are correct.

Umpire-1: Sayantan, Vijay, Ashima, and Vishal.

Umpire-2: Kanheiya, Himanshu, Ashima, and Sayantan.

Umpire-3: Anirudh, Vijay, Himanshu, and Sayantan.

None picked Greeshma. Who played with Kanheiya?

1) Anirudh                  2) Vijay                       3) Vishal                     4) none of these

Q-7:

A lunar Spaceship takes off every odd hour (1,3,5,7,...), night and day, from the Piternia launching station. Every odd hour a ship, from the moon also leaves for earth. A constant distance is maintained from one another by the spaceships, in both directions , and the speed is maintained so that they arrive at the final spot on the even hour(2,4,6,8,...). You are lucky to get a chance to go in the space shuttle, with your partner. “That’s the seventh ship we’ve passed since we left the ground.”,says the person seated by the window.

On which ship are you riding?

1) E                  2) C                3) D                4) G

Q-8:

Kushal has joined the summer camp, where he gets to solve some interesting problems to sharpen his brain. He has been given 2 cubes, using which he has to represent all the months and dates. Each face of a cube bears a unique digit(from 0-9), but the digits on two cubes can be same. He does that first assuming that ‘5’ will be represented as ‘5’ and not ‘05’. He then repeats the same for the case where ‘5’ is represented as ’05’. What’s the minimum number of common faces the two cubes can have, with first cube faces adding up to give the least sum, in 2 cases.

Q-9:

A long time ago, when the Egyptian Empire was spreading across the boundaries of Egypt; several different ethnic groups were made slaves. Over time the slave communities united and made their own Pidgin(a new language) to communicate with each other. To take revenge, the oldest members of these groups: Dhruv, Sanny, and Zilani, indulged in black magic, and cursed the oldest and the most powerful Mummy of the Dynasty and its treasure: “WARTS AKA STRAW” meaning: “2013 will see the fall of Dynasty and you would be the reason”. But the curse will show its effect only when the Mummy is re-awaken, and the one who reawakens will die. To save the Empire one must get control over the Mummy.

Now in 2013 A.D., archeologists Anirudh and Vishal visit the pyramids in search of the treasure, and come across a manuscript which asks them to find the number of ways there are, to spell, “WARTS AKA STRAW” excluding the spaces, by travelling from letter to letter in the grid. Unaware of the curse, in greed

of Treasure they accidently re-awake the Mummy, and are forced to death. You can save the Empire by getting control over the Mummy if you can find this mysterious number.

(Hint: Most probably, much more than you think.)

(Hint: Every possible path passes through the center.)

(How to answer? Answer the last four digits of your answer. Eg.: if the answer is: 0123, then mark your answer as: 0123.)

Q-10:

In a botanical garden, owned by Megha; there are three types of plants, ones which bear red flowers (I), ones which bear pink flowers (II), and rest bear both (III). Currently, the garden accommodates equal number of flowers from each category. As an effect of fertilizers, the red ones have lost the ability to reproduce, and the rest two have equal chances to reproduce any of the three types, but one plant can reproduce only one plant at a time. The moment type-III plant is produced; the mother plant is treated so as to stop reproducing. If this continues for a long time, what would be the ratio of the three types of plants in the garden?

(How to answer? If the ratio is: x:y:z (say 7:8:9) then answer xyz(0789).)

---

---

The One Where Technothlon Unpacks

Yeah! The Technothlon team has arrived the beautiful campus of IIT Guwahati. As the team members unpacked their bags (and ideas) to start up the work for the Mains, a short delay in this discussion might have depressed you. But now we are back with the next set of solutions, and some more questions. Tomorrow we will be discussing the section, "Ingenioso Matematica".

"Work In Progress"

 

Q-1:

            The basic idea to minimize the rope being used is to place the barricades such that they are equidistant from the ends to which they would get connected. Every time a new pillar is to be placed it's placed in the mid of the 2 existing pillars.

            So, first he places the barricade in the middle of the Left and Right Pillars, using 8m rope. Then he places the next barricade in the middle of this barricade and the Left Pillar, and then between this(middle) barricade and the Right pillar, using 4+4=8m rope (The order to place these two barricades can be interchanged).

Then rest of the barricades can be placed in any order, using a total of 2+2+2+2=8m of rope.

Hence the total rope used is:
8+2*(4+2+2) = 24m rope

8+2*(4+2+2) = 24m rope

Q-2:

            Since he has enough funds he doesn't have to strategies things out, and he will directly arrange the barricades one by one. The rope used for the first barricade is 8m, for the second is 7m, for the third is 6m, ..... for the seventh is 2m.
Hence the total rope used is:

8+7+6+5+4+3+2=35m rope.

Q-3:

(There was a typo in the question, and the correct question should have been:

            If he applies to another such stretch, 10m long, and with 9 barricades. Then            what would be his minimum wastage? (in case of 57 m long rope))

For this correct question:

            Check for the total rope required as in case of no bar on the budget and length of rope (similar to Ques-2). Following the procedure above, it would come out to be 54m.

Hence the minimum wastage would be of 57-54 = 3m.

(Add more to your knowledge: One might interpret that minimum wastage means the worst case as in Ques-2. Be cautious!

            You must check out the length given. In this question, if the total available length had been less than 54m (say 53m) then to solve the question it would have required to find an arrangement such that it uses length less than but nearest to  53 m)

Answers:

Question-1: option-(4) 24

Question-2: option-(3) 35

Question-3: option-(1) 3

---

---

"Dcrypt D'crypto"

Ans-1: khulja sim sim
Reason: The clue for it lies in the words "wait for a second" which means we have to select the second letter from each of the words.

Since from here onwards all the questions are to be sequentially answered, i.e. the answer to a particular question will give the instruction for the next question, so the answer to all the questions must be some instruction except for the last one. (If you pay attention, you can cleverly decipher some questions directly too)

Ans-2: follow (the) arrow
Reason: Deciphered like Think outside the box, and as a hint the next question has arrow in the inscriptions.

Ans-3: next step swap even rows and read
Reason: Find the letters of "TECHNO" in the diamond. Now pick up only those letters written around these in the diamond where there is a line around the square boxes, and arrange them by following the arrow. For eg:, around T, pick up n,e,x,t in the ssense of the motion of the arrow around T, and hence 'NEXT'. Similarly for other characters.

Ans-4: divide half up half down and then alternate top & bottom
Reason: Follow the instruction fetched from the answer to the previous question. Swap the characters  in the even rows.

Ans-5: start right and alternate ends
Reason:  Distribute the 26 letters long code into 2 parts and write the second half just below the first. Now Pick first character of the upper code, second from the lower, third from the upper again, and so on.

Ans-6: reverse the abcd like a with z b with y

Reason: Pick one character from the right end and then from the left, then again from the right, and continue the same way (alternating ends).

Ans-7: ideate nurture kindle

Reason: Simply reverse a with z, b with y, and so on. (OR the hint: "Techniche speaks" can be used.)

---

---

"Code Wars"

 

Let's tabulate all the information:

(First line of the Enciphered Text comes after taking into consideration: “DASY VJBYZ YL” and “GIFT DEATH TO”)

Q-1

Start checking for every word(city) one-by-one.

Kanpur, Nagpur, Mumbai could be enciphered to “CTCIBA”. Now reject Kanpur, and Nagpur as 'C' can be deciphered only in one way. Thus, MUMBAI is the only satisfactory choice for this.

Delhi, Patna could be enciphered to “OHYFB”. Now reject Delhi as 'Y' can be deciphered only to 'T'. Patna can be deciphered keeping in consideration all the rules.

Ahmedabad, Bengaluru, Hyderabad could be enciphered to “ZKVWNBIBE”. Now reject Ahmedabad, and Bengaluru (based on similar reasons as above). Thus, HYDERABAD is the only satisfactory choice for this.

All this helps us to fill the second line of the enciphered text row.

Hence the answer is: 3+5+8=16.

Q-2

Simply check for all those characters which can't be enciphered, and add the numbers corresponding to those words(city) which contain at-least one of these characters.

Hence the answer is: 1+2+4+6+7+8=28.

Q-3

Since 'E' can be ciphered in 2 ways: V,E; and for rest of the alphabets there is only one possible option.

Moreover since 'E' comes twice in 'EUROPE' therefore it can be enciphered in total 2*1*1*1*1*2=4 ways.

Answers:

Question-1: option-(4) 16

Question-2: option-(3) 28

Question-3: option-(1) 4

---

---

The One With The "Facebook" Guy

Ghissu, multitasker, responsible are some of the few words that do not describe the west regional head of Techno'13 as much as Super-Ghissu, Super-multitasker and Super-responsible!   Arpit also handles the publicity work of Techno'13. Cool facebook guy, whose two all time  favourite one-liners are " Cool ra" and " I am so Awesome " . Arpit  really adores his bag apparently it being his "second" girlfriend ;) P.S. Ghissu is IITG lingo for a padhakoo...

Arpit Jain

---

The One With The "Crazy" Guy

Very hardworking, dedicated comrade, he is literally the brain of Techno’13. Being the happy go lucky type his favorite hobby is to get his pics clicked ( you can clearly see the wackiest one on the right!) . North regional head of Techno’13, Pranshu also co-heads the question paper work.Intelligent, optimistic and especially “Nautanki” are few words which describe him.  Even though he is a crazy guy but a lot of fun to be around with.

Pranshu Anand

---

The One With The "Alien" Girl

Girl power of team Techno. Along with being the heart of the team she's also the regional head of heart of our country(central). Soft-spoken, hard-working, and not to forget - the best hostess of (read for :P) team. The one behind all the complex yet amazing designs & questions of the paper (many of you might want to kill her now :p) is too simple in her real life & 'alien' is the only word she curses someone with even when angry(Just to imagine!). In a sentence, good at heart, best to work with.

Neha Singh

---

The One With All The "Decrypt"ing

Pavan in search of the ultimate mantra for success goes to a saint, living in the Himalayas. The Saint wants to test the determination Pavan has, to achieve his goal, and shows him a passage. On unlocking its door he can find the hidden code of life. But the door only opens with a magical keyword, which is hidden in the Saint’s words.

“Sky there, humbly blesses, Ajanta caves:

‘ asamba kimba amar… asamba kimba amar!!’ ”

To help him, the saint has also given him a clue:

 “Wait for a second, think carefully , repeat, you will get it.”

He also tells him,” Everything you see beyond this door, will have a relation to what you see next.”

Question 1:

Say the magical word to open the door for Pavan.

Question 2:

The door opens, and Pavan finds that a series of challenges await him. First up, is a sign board that looks like this:

Question 3:

Then he encounters  an ancient scroll, that has the following inscriptions:

Question 4:

In a dark corner, is a pillar with inscriptions all over it, here’s what it looks like:

Question 5:

An unsuccessful  hunter, has written on the walls

S L A E T N I  T H E A D D  A T T R R R A G E T N N S

(Hint: Divide and rule)

Question 6:

You are just a step away from success, echoes a voice

     ees_h_bdlk_ _ ihzadbwt_ yhi_ _twaei_caetervr

("_" represent spaces)

Question 7:

Finally, unravel the mystery of success.

   rwvzgv  mfigfiv  prmwov

(Hint : Techniche speaks)

---

The One "(Work) In Progress"

While supervising the construction of Metro in Technolasia, Pavan came up with quite a weird pattern of placing the barricades near the “Work in progress” board. There are 2 pillars, Left and Right, separated by 8m long stretch. He chose seven equidistant positions in this stretch to place the barricades. But the length of the rope required to connect these depends on their order of placement. Once a barricade is placed, it is connected to its immediate left and right barricades, if there is none, then to the pillar, with a stretched rope.

Assuming Pavan bought a 57m of rope.

Question 1:

What’s the minimum amount of wire he could have used?

1)28     2) 20   3) 26   4) 24

Question 2:

If he has no bar on using the fund. What’s the length of wire he could have used (not wasted)?

(not wasted)?

1) 27    2) 28   3) 35    4) 36

Question 3:

If he applies to another such stretch, 9m long, and with 9 barricades. Then what

would be his minimum wastage? (in case of 57 m long rope)

1) 3      2) 2      3) 0     4) 1

---

The One With The "Code War"

Secret codes are often used, by spies and military, to carry out operations. In one such case, the CBI Coders, Ashima, Roshan and Himanshu, intercepted a mail in which they picked out two patterns, which they suspected could be the key. The rest of the code has been deciphered and conveys information about the camps of a terrorist group. Only the cities where these camps are located now are to be found.  You have been asked to decipher and answer before it’s too late!

All you have is the piece of information provided below:

(Hint: You can have multiple codes for an alphabet, but only one way to decipher it back.)

Question 1:

The first line of the code when deciphered comes out to be “GIFT DEATH TO”.

Given below are the possible deciphered texts of the encircled code.

Kanpur = 1            Nagpur = 2                Mumbai = 3              Delhi = 4

Patna =5                Ahmedabad = 6        Bengaluru = 7           Hyderabad = 8

Add up the numbers corresponding to the correct deciphered possibilities.

1) 12                2) 13            3) 14            4) 16

Question 2:

Which of the following given possibilities can under no condition, be ciphered using the code logic of the previous question?

Kanpur = 1              Chennai = 2       Ahmedabad = 3        Kolkata = 4

Hyderabad= 5        Srinagar= 6        Varanasi= 7              Jaipur = 8

Add up the numbers corresponding to these possibilities.

1) 26                2) 27            3) 28            4) 29

Question 3:

In how many ways the word “EUROPE” can be ciphered according to the code logic

used in the first question?

1) 4                2) 12            3) 0            4) 8

---

The One Where Technothlon Answers

"The Drowning City"

Let’s start with filling up the grid. Let for our purpose, the cell in Row-x and Column-y be denoted as: (x, y).

·     Try to fill column E. To satisfy 12 at the top we must not fill (1,E) with 9,8,7,6 (Rule-5), and also not with 2,3,4,5,6,7 (Rule-3). So it has to be 1. So should be (4,E), (3,B), and (6,B). Now to satisfy 12 at the top of col-E, (3,E), (6,F), (1,B), and (4,B) must be 8.

·    Since we start at the top of column F, people from (2,E) will be rescued before we reach the right of Row-2. Hence, (2,F), (2,C), (5,F), (5,C) are 5.

·     Let’s see (3,F), it can’t be filled with 1(check (2,C)),3,4,5,6,7,8, or, 9 (Rule-3) therefore it has to be 2; so should be (6,F), (1,C), (4,C).

·    Similarly, (2,D) can’t be filled with 1,2,3,4,5,6,7,8 (Rule-3), and it’s 9 along with (2,A), (5,A), and (5,D).

·     Only possible choice for (3,C) and hence (3,D), (3,A), (6,A) and (6,D) is 4.

The numbers outside the grid can be filled now.

(Remember: You can’t save one’s who have already been saved. Be cautious while answering the questions. Avoid over-counting.)

·   Brown and Green box represents the ones who couldn’t be saved in the original situation.

·    Green box represents the ones who could have been saved if the diagonal light was allowed.

Question-1: option-1) 4

Question-2: option-3) 25

Question-3: option-1) 9

---

---

"Jumbled"

(A few clarifications:

• In Q2, ‘None of these’ means ‘None of these’ and nothing else, unlike what is being interpreted in the discussion.
• In Q4 we asked for option which is where the attentiveness is being tested as Q-2 doesn’t contain 3 and 4 and Q-4 doesn’t contain 0 in any of the options.)

Let’s start by rejecting the inappropriate options.

• In Q1, reject opt-3 (Rule-2).
• In Q2, reject opt-4 (Rule-1).
• In Q3, reject opt-4 (Rule-2).
• In Q4, reject opt-1 (read Q4).

Interestingly, you can solve the Q2 before any other Ques, but when all Ques are taken in account, you must chose opt-2 for Q3 else it will create a contradiction. And this is where the actual thinking was involved, and the approach, “Start your thinking process from Q3, and hence it’s ans is opt-2” is not strong enough to support the answer to Q3.

Based on the above step, reject opt-4 in Q1.In Q2, reject opt-2 i.e. 0 as then ans to Q4 would be opt-3, a contradiction. Also reject opt-1 as that would mean ans to Q4 is opt-4 and the 2 ques to have opt-3 as their ans must be Q1 & Q3-a contradiction to above answers.

=>Ans to Q2 is opt-3. => Ans to Q-4 is opt-2.

Now Q1 is left to be answered at the end. => Ans to Q1 is opt-1.

Question-1: option-1) 1

Question-2: option-3) 1

Question-3: option-2) 3

Question-4: option-2) 3

---

---

"Follow The Arrow"

(will be updated with the next set of Solutions. The discussion is still on.)

---

---

The One With The Jolly Guy

A down to earth person . Even though he likes to speak less but it is hard to match him when it comes to hard work. South regional head of Technothon, Vijay is also the co-in-charge of publicity of techno’13. The most humble, optimistic, "Jolly" guy who adds a fun element to everything once he pairs up with a yet to be introduced organizer (guess who that crazy guy is?). A great team mate.
	Vijay Sai

---

The One With The Geek

Cool dude among the seven.He is the East Regional Head of Technothlon'13. Skilled in coding he manages the online life and databases of Technothlon'13. Even though he does all the online work but on a personal level he doesn't like to be online himself .The only place in the entire campus where you can actually spot him is the IITG library. Being optimistic hardworking and chilled out are some of his most awesome qualities.

Krtin Kumar

---

The One Where We "Follow The Arrow"

                A Kindergarten teacher has introduced a new game for her students, during their school picnic. She divided students into 6 teams: 1st two teams (G and H) had 1 student each, next 2 teams(I and J) had 3 students each, and the last two teams(P and  N) had 5 students each. The equisized teams were to face each other in the interesting game. For the same, she arranged the opponent teams in rows, facing each other as shown:

   

Team G v/s Team H

Team I  v/s Team J

Team P v/s Team N

                                               
                                      
Opponent teams are to exchange heir positions, but with certain twists:
a student can move only in the direction of his arrow to an empty block only if:
●    The empty block is exactly in front of him, or
●    There is exactly one student of opposition and none of his own team between him and the empty
      block.

            Finally all the kids completed the game, and were rewarded by the teacher. Shockingly there was a striking similarity between all the game plays : One team in each gameplay had to take 1 step more than its opponent team. With this fact in mind, we can  derive some more similarities the game had  in each case.

(They played…you solve :P) 
(Hint: Try to visualize for small sized teams, and then build your logic.)


Question 1:
 The total number of steps taken by students A, E and V can be?
 1) 7, 9        2) 8, 9        3) 9, 11          4)10, 11
  

Question 2:
How many total steps were taken by all the little kids(in 3rd match) of teams P and N to complete the game? 
1) 30        2) 33        3)35        4)38


Question 3:
 If E being the bold started first, then the total number of steps taken by A, B, C and D is-
 1) 12        2) 15        3) 13        4) 14


Guidelines: Give complete strategies used to get the answer that would help our team and your fellow contestants to know the way you thought.

--

Regards

Team Techno'13

---