Difficulty: Medium
Correct Answer: 7th
Explanation:
Introduction / Context:
This problem combines category ranks (within boys/girls) with overall ranks. The key idea is to account for how many boys and girls appear ahead before a given student and to relate two consecutive overall ranks.
Given Data / Assumptions:
Concept / Approach:
Let Amit’s overall rank be k. Then Suman’s overall rank is k + 1. Among the k people ahead of Suman, there must be (i) the 4 boys ahead of Amit, (ii) Amit himself (a boy), and (iii) the 2 girls ahead of Suman. That totals 7 people.
Step-by-Step Solution:
Verification / Alternative check:
Then Suman is 8th overall, which is consistent with being just below Amit. The composition (boys/girls) ahead fits the category ranks precisely.
Why Other Options Are Wrong:
5th or 8th contradict the category counts and the “just below” constraint; “Cannot be determined” is incorrect because the data uniquely fix k.
Common Pitfalls:
Forgetting to include Amit in the count of people ahead of Suman; or mixing up category ranks with overall ranks.
Final Answer:
7th
Discussion & Comments