Question
What will be the 14th step for the following
input? Input: the rule changes will come into effect for Directions (Q.11-15): A word arrangement machine when given a particular input, rearranges them following a particular rule. The following is the illustration of the input and the steps of arrangement : Input: the organisation focus soon switched to finding new Step I: focus organisation the new finding to switched soon Step II: new the organisation focus soon switched to finding Step III: soon focus organisation the new finding to switched Step IV: organisation focus soon switched to finding new the And so on goes the machine. Study the logic and answer the questions that follow:Solution
From Input to Step I : First word interchanges its position with the third word, fourth word interchanges its position with the eighth word and fifth word interchanges its position with the seventh word. Second and sixth words remain at their original position. (say pattern 1) From Step I to Step II: First and second words interchange their position with fourth and third words respectively. Fifth and sixth words interchange their position with eighth and seventh words respectively. (say pattern 2) From Step II to Step III : First word interchanges its position with the fifth word, second word interchanges its position with the fourth word. Sixth word interchanges its position with the eighth word. Third and seventh words remain at their original position (say pattern 3) From Step III to Step IV : again pattern 1 is being repeated. Machine is following pattern 1, pattern 2 and pattern 3 in alternate steps. Now, we can write the further steps on the basis of the patterns. In step V, pattern 2 will be followed and in Step VI, pattern 3 will be followed. We need to write the steps till we get the input again. In order to make things easier, let us represent the words digitally from 1 to 8. Then we have: Input: the organisation focus soon switched to finding new 1 2 3 4 5 6 7 8We can see above in the solution table that the input is getting repeated in the 6 th step. That means input will be repeated again in the 12 th step. Therefore, Step XIV = Step II.
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