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People from an island called Ultapulta use letters similar to the ones used in the English alphabet but for the fact that they have Z as the first letter, A as the second letter, B as the third and so on with Y being the last letter. If Tuktuk who is an inhabitant of this planet wants to arrange all the words formed using letters of the word “ZAKHM” in dictionary order, then what will be the 56th word?
  • a)
    HAZKM
  • b)
    HAZMK
  • c)
    KHAZM
  • d)
    HZAMK
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
People from an island called Ultapulta use letters similar to the ones...
There will be 4! words starting with letter Z.
Another 4! words will start with letter A.
There will be 3! words for which the first two letters are HZ.
We have had 24 + 24 + 6 = 54 words in all up till now.
55th word will be HAZKM and 56th will be HAZMK.
Hence, option 2.
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Most Upvoted Answer
People from an island called Ultapulta use letters similar to the ones...
Given Information:
- The inhabitants of the island Ultapulta use a modified version of the English alphabet.
- The order of the letters in their alphabet is: Z, A, B, C, ..., Y.
- We need to arrange all the words formed using the letters of the word "ZAKHM" in dictionary order.
- We need to find the 56th word in this arrangement.

Approach:
To solve this problem, we can use the concept of permutations and combinations. Since we need to find the 56th word in the dictionary order, we can systematically arrange the letters of the word "ZAKHM" and find the word at the 56th position.

Step 1: Determine the Number of Words:
To find the number of words that can be formed using the letters of the word "ZAKHM", we need to use the concept of permutations. Since all the letters are distinct, we can use the formula for permutations of distinct objects, which is n!.

In this case, n = 5 (number of letters in the word "ZAKHM").
Therefore, the number of words that can be formed = 5! = 5 x 4 x 3 x 2 x 1 = 120.

Step 2: Arranging the Words in Dictionary Order:
To arrange the words in dictionary order, we can start by arranging the letters in ascending order based on their position in the modified alphabet.

The modified alphabet for the inhabitants of Ultapulta is: Z, A, B, C, ..., Y.

Step 3: Finding the 56th Word:
To find the 56th word in the dictionary order, we can systematically arrange the letters of the word "ZAKHM" and count the words until we reach the 56th word.

Calculation:
Let's arrange the letters of the word "ZAKHM" in ascending order based on their position in the modified alphabet:

1st word: AHKMZ
2nd word: AHKZM
3rd word: AHMKZ
...
54th word: HZAMK
55th word: HZKAM
56th word: HAZMK

Therefore, the 56th word in the dictionary order is "HAZMK" (option B).
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Two players are playing a game called Pick an alpha. In this game, there are 2 variables, the first one is a, the starting alphabet, and the second one n the maximum range of alphabets starting from a. The game proceeds as follows. One of the players picks an alphabet from the first n alphabets starting from a, say m, now the second player has to pick an alphabet from the first n alphabets starting from the alphabet just afterm, and in a similar way, it continues till one player picks the alphabet Z. The player to choose Z loses the game. If at any point during the game, less than n alphabets remain, the player has to choose from these remaining alphabets.Both the players pick alphabets that maximise their chance to win.Suppose, the value of a is G and the value of n is 3. So, the first player has to pick an alphabet among G, H, I. Suppose he picks I. Then the second player has to pick among J, K and L. It continues in a similar fashion.Based on the information given above, answer the questions that follow.Q. If a = A and n = 5, what should the player starting the game choose initially so that he will definitely winthe game?

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People from an island called Ultapulta use letters similar to the ones used in the English alphabet but for the fact that they have Z as the first letter, A as the second letter, B as the third and so on with Y being the last letter. If Tuktuk who is an inhabitant of this planet wants to arrange all the words formed using letters of the word ZAKHM in dictionary order, then what will be the 56th word?a)HAZKMb)HAZMKc)KHAZMd)HZAMKCorrect answer is option 'B'. Can you explain this answer?
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People from an island called Ultapulta use letters similar to the ones used in the English alphabet but for the fact that they have Z as the first letter, A as the second letter, B as the third and so on with Y being the last letter. If Tuktuk who is an inhabitant of this planet wants to arrange all the words formed using letters of the word ZAKHM in dictionary order, then what will be the 56th word?a)HAZKMb)HAZMKc)KHAZMd)HZAMKCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about People from an island called Ultapulta use letters similar to the ones used in the English alphabet but for the fact that they have Z as the first letter, A as the second letter, B as the third and so on with Y being the last letter. If Tuktuk who is an inhabitant of this planet wants to arrange all the words formed using letters of the word ZAKHM in dictionary order, then what will be the 56th word?a)HAZKMb)HAZMKc)KHAZMd)HZAMKCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for People from an island called Ultapulta use letters similar to the ones used in the English alphabet but for the fact that they have Z as the first letter, A as the second letter, B as the third and so on with Y being the last letter. If Tuktuk who is an inhabitant of this planet wants to arrange all the words formed using letters of the word ZAKHM in dictionary order, then what will be the 56th word?a)HAZKMb)HAZMKc)KHAZMd)HZAMKCorrect answer is option 'B'. Can you explain this answer?.
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