The One with the "Puzzle Mania"

Going In Circles 

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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

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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

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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

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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

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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

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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

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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.)

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"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).)

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