Directions (Set of 5 Questions): Study the following information carefully and answer the question given below:
When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement :
(All the numbers are two digit numbers.)
Input : bear 24 binders brave 91 17 but 68 bailer 35 be 74
Step I: 19 bear 24 binders brave 17 but 68 bailer 35 74 be
Step II: 47 19 bear 24 binders brave 17 68 bailer 35 be but
Step III: 86 47 19 24 binders brave 17 bailer 35 be but bear
Step IV : 53 86 47 19 24 binders 17 bailer be but bear brave
Step V : 42 53 86 47 19 binders 17 be but bear brave bailer
Step VI : 71 42 53 86 47 19 be but brave bailer binders
Step VI is the last step of the above arrangement as the intended arrangement is obtained.
As per the rules followed in the given steps, find out the appropriate steps for the given input.
Input: tyre 71 toughen 59 tip 82 13 thanks to 68 table 46.
Which of the following combinations represents the third and the ninth element in second last step of the given input from the left end?
Solution
After careful analysis of the given input and various steps of rearrangement it is evident that in each step two elements (one word and one number) are rearranged. In the first step the highest number moves to the extreme left position and its digits are interchanged while the word which contains least number of letters, moves to the extreme right position. In the second step, the second highest number move to the extreme left position and its digits are interchanged while the word which contains the second lowest number of letters moves to the extreme right position. The same procedure is continued till all the number and words get rearranged following the rule mentioned above.
Input : tyre 71 toughen 59 tip 82 13 thanks to 68 table 46
Step I: 28 tyre 71 toughen 59 tip 13 thanks 68 table 46 to
Step II: 17 28 tyre 59 13 thanks 68 table 46 to tip
Step III: 86 17 28 toughen 59 13 thanks table 46 to tip tyre
Step IV: 95 86 17 28 toughen 13 thanks 46 to tip tyre table
Step V: 64 95 86 17 28 toughen 13 to tip tyre table thanks
Step VI: 31 64 95 86 17 28 to tip tyre table thanks toughen
Second last step means Step V:
3rd elements from the left in Step V $\Rightarrow$ 86
9th element from the left in Step V $\Rightarrow$ tip