Ehmran ranked $62^{\text{nd}}$ from the bottom and $11^{\text{th}}$ from the top in his class. How many students are there in his class?

Appeared in: DSSSB 14 August 2024

Explanation

The problem requires finding the total number of students from an individual's rank given from both the top and the bottom.
The standard formula for this type of problem is: Total = (Rank from Top) + (Rank from Bottom) - 1.
Substituting the given values: Total = 11 (from top) + 62 (from bottom) - 1.
The calculation is 73 - 1, which equals 72.
The subtraction of 1 is crucial because the individual (Ehmran) is counted in both the 'rank from top' and 'rank from bottom' measurements, so he must be subtracted once to avoid being double-counted.

Option B: This value is incorrect. It may arise from a miscalculation, such as subtracting the ranks and adding one (62 - 11 - 1 = 50), which is not the correct method.
Option C: This value is incorrect. It does not follow the logical formula for calculating the total number of students from ranks.
Option D: This value is incorrect. It might be the result of an arbitrary calculation error, such as adding the ranks and subtracting a different number (e.g., 11 + 62 - 5).

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Order and Ranking as background academic context rather than a clinical decision trigger.
This type of logical reasoning is a fundamental skill tested in the general aptitude sections of nursing entrance and recruitment exams.
Mastering the formula (Total = Top + Bottom - 1) ensures quick and accurate problem-solving, which is essential for time management during competitive exams.
This skill demonstrates analytical thinking and the ability to process information logically, which are valuable traits for a nurse.

How to Approach the Question

First, identify the question as a logical reasoning problem involving order and ranking.
Note the key information provided: the rank from the top (11th) and the rank from the bottom (62nd) for the same person.
Recall the specific formula used to find the total number of items in a sequence when one item's position is known from both ends: Total = (Rank from Top) + (Rank from Bottom) - 1.
Substitute the given numbers into the formula: Total = 11 + 62 - 1.
Perform the addition first (11 + 62 = 73), then the subtraction (73 - 1 = 72).
Select the option that matches your calculated result.

Concept Tested & Keywords

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Practise the full DSSSB 14 August 2024

Attempt every question from this paper in a timed mock, then review the full solution for each one.