Question Details

How many words in between “36” and “25” in the step I?

A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: 23 Services 48 and 91 under Banking 37 maintenance 18
Step I:and 23 Services 48 under Banking 37 maintenance 18 91
Step II:and Banking 23 Services under 37 maintenance 18 91 48
Step III:and Banking maintenance 23 Services under 18 91 48 37
Step IV:and Banking maintenance Services under 18 91 48 37 23
Step V:and Banking maintenance Services under91 48 37 23 18
And step V is the last step of this arrangement.
As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the given input.
Input: 36 Official 73 hour 22 on parliament 25 changed 46

Options

A

Two

B

Four

C

Three

D

None

E

One

Show Answer

Correct Answer :

Option B

Four

Solution :

To find the number of words between "36" and "25" in Step I, let us first analyze the logic of the rearrangement rules from the given example:

Rules of Arrangement:
1. In each step, the alphabetically first word among the remaining words is moved to the left side (after any words already moved).
2. Simultaneously, the highest number among the remaining numbers is moved to the right side (after any numbers already moved).
3. The rest of the words and numbers shift, maintaining their original relative order.

Now, let us apply this rule to the given input sequence:
Input: 36 Official 73 hour 22 on parliament 25 changed 46

Step I Construction:
1. Word selection: The words in the input are Official, hour, on, parliament, and changed. Alphabetically, the first word is "changed", so it is moved to the extreme left.
2. Number selection: The numbers in the input are 36, 73, 22, 25, and 46. The highest number is 73, so it is moved to the extreme right.
3. Remaining elements: The remaining elements (36, Official, hour, 22, on, parliament, 25, 46) keep their original relative positions in the middle.

Therefore, we get:
Step I: changed 36 Official hour 22 on parliament 25 46 73

Counting the words between "36" and "25":
Looking at Step I, the sequence of elements between "36" and "25" is:
Official, hour, 22, on, parliament

Among these, the words are:
1. Official
2. hour
3. on
4. parliament

Thus, there are exactly Four words in between "36" and "25" in Step I.

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