In a class, there are 43 students. Kunal's rank is 17th in the class, who is ahead of Pinki by 6 ranks, Pinki being 7 ranks ahead of Balwan. If ranking system is from top to bottom, then what is Balwan's rank?
Show Hint
- 28
- 29
- 23
- 30
The Correct Option is D
Solution and Explanation
We are given the total number of students and the relative ranks of three students: Kunal, Pinki, and Balwan. The term "ahead" in ranking usually means a better rank (closer to 1st). However, in the context of "Kunal (17th) is ahead of Pinki", implying Kunal has a better rank, Pinki must have a higher numerical rank (worse rank). Let's deduce the positions step-by-step.
Step 2: Detailed Explanation:
Kunal's Rank: 17th.
Relationship between Kunal and Pinki: "Kunal is ahead of Pinki by 6 ranks." Since Kunal is ahead, he has the better rank (smaller number). Therefore, Pinki is 6 ranks behind Kunal. \[ \text{Pinki's Rank} = \text{Kunal's Rank} + 6 = 17 + 6 = 23 \] So, Pinki's rank is 23rd.
Relationship between Pinki and Balwan: "Pinki being 7 ranks ahead of Balwan." Since Pinki is ahead of Balwan, she has the better rank. Therefore, Balwan is 7 ranks behind Pinki. \[ \text{Balwan's Rank} = \text{Pinki's Rank} + 7 = 23 + 7 = 30 \] So, Balwan's rank is 30th.
Step 3: Final Answer:
Balwan's rank is 30.
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