The spy sent Tintin four messages which consists of only the letters from A to D, that are encoded in the following way: A, B, C, D are equivalent to 00, 01, 10, 11 respectively. An operation ‡ is defined over the numbers 0 and 1 as All messages that Tintin receives are encoded as (Message)`‡`(Key) where Key is a fixed word that is used for encoding all the Messages. But, sadly, Tintin does not know the key. BDBDBD, AAAA, BDBBBB, DAACCC . You forgot the messages corresponding to these encodings but you do remember that all of these four messages had ADC as its substring. Few seconds later, Tintin receives another message that was encoded as BBDBD. Can you tell what the actual message could possibly be? Not clear? Want an example – let us have two messages AB and CD, and let the key be BC, then `(({:(" "AB),(+BC):})/(BD))/` `(({:(" "CD),(+BC):})/(DB))/` are the corresponding cypher texts.[Hint: if `("word"1)‡("word"2)=("word"3) " then " ("word"1)=("word"2)‡("word"3)]`A. ABACDB. ABADCC. ABABCD. ABBDC

The spy sent Tintin four messages which consists of only the letters f

1.	The spy sent Tintin four messages which consists of only the letters from A to D, that are encoded in the following way: A, B, C, D are equivalent to 00, 01, 10, 11 respectively. An operation ‡ is defined over the numbers 0 and 1 as All messages that Tintin receives are encoded as (Message)`‡`(Key) where Key is a fixed word that is used for encoding all the Messages. But, sadly, Tintin does not know the key. BDBDBD, AAAA, BDBBBB, DAACCC . You forgot the messages corresponding to these encodings but you do remember that all of these four messages had ADC as its substring. Few seconds later, Tintin receives another message that was encoded as BBDBD. Can you tell what the actual message could possibly be? Not clear? Want an example – let us have two messages AB and CD, and let the key be BC, then `(({:(" "AB),(+BC):})/(BD))/` `(({:(" "CD),(+BC):})/(DB))/` are the corresponding cypher texts.[Hint: if `("word"1)‡("word"2)=("word"3) " then " ("word"1)=("word"2)‡("word"3)]`A. ABACDB. ABADCC. ABABCD. ABBDC
Answer» From the hint, we realize that the 3 words are cyclic. Therefore, `{:(M,,,K,,E),(,ul(K),ul(E),,ul(M),),(,E,,M,,K):}` Where, M: Message, K: Key, E: Encoding. Observe that, this function is unary in nature. Since, we only had the last 3 alphabets of the key, let us only focus on the last 3 alphabets of the messages and the encodings. Every message ended with ADC. Therefore, using the 3rd formula, DBD ADC DCB = the key. Now, using the key, the encoding’s BBDBD last 3 words DBD and the 2nd formula, DCB DBD ADC Hence, the message ends with ADC, which is Option B.

Discussion

No Comment Found

Related InterviewSolutions

You and your friend save as much money as possible by participating in the contest and fly to Athens. Exploring Athens you and all other teams come to Parthenon, the temple of Athena, who is the goddess of wisdom and intelligence. You also see many images of an owl. You learn from the guide that it is the “Athena Noctua”, also called the Minerva owl or the little owl. The guide also mentions some interesting stories of Athena’s wisdom and cleverness. The tourist guide at Parthenon takes you to an abandoned tunnel. And here you find an inscribed stone and a bowl of colored flowers. Suddenly you hear a deep and ancient gong ringing as you start reading the Stone Of Instructions. The instructions read as follows: Every person entering the Temple of Athena will be given a bowl with 15 red flowers and 12 yellow flowers. Each time the Gong of Time rings, he/she must do one of two things: 1. Exchange: If he has at least 3 red flowers in his bowl, then he may exchange 3 red flowers for 2 yellow flowers. 2. Swap: He may replace each yellow flower in his bowl with a red flower and replace each red flower in his bowl with a yellow flower. That is, if he starts with i red flowers and j yellow flowers, then after he performs this operation, he will have j red flowers and i yellow flowers. [You can leave the tunnel only when you make all the combinations (no. of red, no. of yellow) of flowers that are possible]. What is the number of combinations you need to make to leave the tunnel?A. 27B. 52C. 54D. None of these
You and your friend save as much money as possible by participating in the contest and fly to Athens. Exploring Athens you and all other teams come to Parthenon, the temple of Athena, who is the goddess of wisdom and intelligence. You also see many images of an owl. You learn from the guide that it is the “Athena Noctua”, also called the Minerva owl or the little owl. The guide also mentions some interesting stories of Athena’s wisdom and cleverness. The tourist guide at Parthenon takes you to an abandoned tunnel. And here you find an inscribed stone and a bowl of colored flowers. Suddenly you hear a deep and ancient gong ringing as you start reading the Stone Of Instructions. The instructions read as follows: Every person entering the Temple of Athena will be given a bowl with 15 red flowers and 12 yellow flowers. Each time the Gong of Time rings, he/she must do one of two things: 1. Exchange: If he has at least 3 red flowers in his bowl, then he may exchange 3 red flowers for 2 yellow flowers. 2. Swap: He may replace each yellow flower in his bowl with a red flower and replace each red flower in his bowl with a yellow flower. That is, if he starts with i red flowers and j yellow flowers, then after he performs this operation, he will have j red flowers and i yellow flowers. [You can leave the tunnel only when you make all the combinations (no. of red, no. of yellow) of flowers that are possible]. After how many operations will you have 5 each of red and yellow flowers?A. 5B. 10C. 15D. None of these
After winning the challenge fair and square, and winning a Snorlax, Max finally reaches Viridian City. As he enters viridian city, he notices that there is a Pokémon trainer in front of the gym. I will only let you pass if you beat me in my favourite game, he says. This is a game played with a sequence of tiles, each labelled with two numbers. You start at the first the in the sequence and choose one number from each tile that you stop at, according to the following rules: • At tile i, if you pick up the smaller number, you move on to the next tile, i+1, in the sequence. • At tile i, if you pick up the larger number, you skip the next tile and move to tile i+2 in the sequence. The game ends when your next move takes you beyond the end of the sequence. Your score is the sum of all the numbers you have picked up. For example, suppose you have a sequence of four tiles as follows: Then the maximum score you can achieve is 3, by choosing the numbers that are circled. Now, you are given the following tiles. What is the maximum score you can make to ensure you beat the security guard?
After a day filled with adventures in Tehran, you now reach the bank of Hari river. There you find a box that contains the key to the boat which can help you cross the river quickly. The box can be opened only if the correct password is entered. On the top part of the box there is a number carved. “101111830140311” The box you have got can be opened by deciphering the code number given on the top of the box which would provide you the password. The password consists only English alphabets (capital). Each alphabet is coded by a three digit number in which the ones-place is given by the number of curved lines in that alphabet and the tens- place is given by the number of straight lines in the alphabet. To find the hun- dredths-place digit first place all the alphabets with the same last two digits together in their alphabetical order and interchange the first half with the second half. Now number them 1 onwards and thus the corresponding number will take the hundredths-place. Example: Let these letters (of some unknown alphabet) be the ones having one curved line and one straight line in ascending order then they will be coded as- (Consider “B” to have 2 curves and 1 straight line whereas “U” to have only a curved line. Also consider these letter as shown here: GIJQRY) What is the correct password ?A. SQYWDB. SPIWDC. SQIMJD. UPYMJ
You are running out of time but have no idea about the route from Nepal to IIT Guwahati. The various cut-out parts of the map that can help you reach IIT Guwahati are hidden in the houses shown in the figure below. You will get the parts of the map only on delivering the right article(one per house) to all the houses. (i) An ‘X’ coloured ARTICLE should be delivered to an ‘X’ coloured HOUSE only by using an ‘X’ coloured TRUCK. (ii) A truck can also carry other coloured articles so that it can place them at any of the CHECKPOINTS from where other truck can later carry it to the destination. (iii) Trucks can carry any number of articles at a time. (iv) The main objective is to start all the trucks at the same time, with same speed and deliver the articles without collision of trucks. Also, a truck picks up every article that comes on its way. (v) Last and the most importantly, the PATHS of the trucks should not overlap at any point other than junctions. At junctions, the paths can though cross each other (but both trucks should not reach that junction at same time which leads to collision). The trucks can move only forward. Draw the final path of all the trucks and give the number of turns taken by the blue truck. A. 8B. 7C. 6D. None of the above
You say the code word, and the door opens. You walk in, and look around the empty room. It is a dead end, but you see a poem on the wall. It reads: As you dance each _______around, through once, once only, Me, when you shall have found, do not hide your glee ! One of you notices that the code word fits in the blank of the poem. As you think about the poem, you see an arrow which directs your eyes downward. To your amazement, you find the whole floor filled with letters and symbols! You realize that you need to use the poem to find a solution to the puzzle under them. The floor looked like this: Rearrange the clues from the puzzle above, using the poem, to find a question and then answer it to get out of the cave. What is the answer which can take you out of the cave?A. 7B. 70C. 18D. 81
Now suppose, the staff toggles 15 consecutive doors then with how many doors can you acheive his aim of toggling a state of a single door ?A. 53B. 54C. 55D. None of these
Mario moves on to find a way to get through the main gates of Bowser’s chamber. He suddenly finds falling through a trapdoor and lands on something hard. The Devil Ghost Banshee , comes out and says, “This room is a standard 8×8 chessboard. Each of its 64 square is assigned a weight. These weights are assigned in such a manner that weight of a square is an average of the weight of the square that it is surrounded by.” Mario now has to determine the weights of all 64 squares and for that Banshee tells him the weights of X squares. What could be the minimum value of X with which Mario can deduce the weights of every other square?A. 8B. 32C. 56D. None of these
Mario’s aim is to apply this flickable staff several times to toggle the state of a single door. What are the possible number of times Mario would have to use this staff to achieve his aim?A. 25B. 32C. 40D. 49
Tintin unlocks the chest, and plugs the key into the main door. A dial emerges on the door. Beginning with the dial set at zero, the dial must be turned counter-clockwise to the first combination number, (then clockwise back to zero), and clockwise to the second combina- tion number, (then counter-clockwise back to zero), and counter-clockwise again to the third and final number, where upon the door shall immediately spring open. There are 40 numbers on the dial, including the zero. Without knowing the combination numbers, what is the maximum number of trials required to open the safe (one trial equals one attempt to dial a full three-number combination)?A. 64000B. 1600C. 63999D. 1599

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment