Study the following information carefully and answer the questions based on…

Concept

An Input-Output arrangement machine like this one applies a fixed two-part rule at every step: the numerically smallest number that has not yet been moved is shifted to the front, extending a growing ascending-number block from the left; at the same time, the alphabetically earliest word that has not yet been moved is shifted to the absolute right end, extending a growing alphabetically-ordered word block from the right, with each newly moved word pushing the earlier-moved words one place further left within that block. Every element not yet moved keeps its original left-to-right order in the middle, so Step n always has exactly n numbers sorted at the front and n words sorted at the back.

Application

Applying this rule to the given input step by step:

1. Step 1 — the smallest untouched number is 11 and the alphabetically earliest untouched word is Babloo: move 11 to the front and Babloo to the end, keeping everything else in its original order → 11 55 Geeta Radha 33 Omesh 22 44 Pinky Babloo.

2. Step 2 — the smallest untouched number is 22 and the alphabetically earliest untouched word is Geeta: move 22 next after 11 and Geeta to the end (pushing Babloo one place left) → 11 22 55 Radha 33 Omesh 44 Pinky Babloo Geeta.

3. Step 3 — the smallest untouched number is 33 and the alphabetically earliest untouched word is Omesh: move 33 next after 22 and Omesh to the end (pushing Babloo and Geeta one place left) → 11 22 33 55 Radha 44 Pinky Babloo Geeta Omesh.

Counting the Step 3 row from the left end gives the position of every token:

Result and cross-check

‘Radha’ therefore stands at the fifth position from the left end in Step 3.

This rule can be checked against the passage’s own worked example: applying the same two-part extraction to the sample input (History 30 Maths 10 Chemistry 20 40 Sanskrit Economics 50) reproduces Step 1 as ‘10 History 30 Maths 20 40 Sanskrit Economics 50 Chemistry’, Step 2 as ‘10 20 History 30 Maths 40 Sanskrit 50 Chemistry Economics’, and Step 3 as ‘10 20 30 Maths 40 Sanskrit 50 Chemistry Economics History’ — an exact match with every step given in the stem, confirming the rule before it is used on the new input. A second, independent check: by Step 3, exactly 3 numbers (11, 22, 33) and 3 words (Babloo, Geeta, Omesh) have been extracted, leaving exactly 4 elements (55, Radha, 44, Pinky) untouched in the middle — 3 + 4 + 3 = 10, matching the total token count, so no element has been dropped or duplicated.