Rajan is sixth from the left end and Vinay is tenth from the right end in a row of boys. If there are eight boys between Rajan and Vinay, how many boys are there in the row?

1. A

   23

2. B

   24

3. C

   25

4. D

   26

Appeared in: RRB Staff Nurse Kolkata-2015

Explanation

• The problem describes a simple linear arrangement without any overlap.
• The positions given (6th from left, 10th from right) and the number of boys between them (8) are distinct groups.
• The total number is found by summing these groups: (boys up to Rajan) + (boys between) + (boys up to Vinay).
• Calculation: 6 (Rajan's group from left) + 8 (between) + 10 (Vinay's group from right) = 24. This is the formula for a non-overlapping case: Total = Left Position + Right Position + Between.

Why Other Options Were Wrong

• Option A: This is an incorrect calculation. It might arise from subtracting one from the total, possibly confusing the counting of individuals versus positions.
• Option C: This result might be obtained by miscalculating the sum, for instance, adding 1 to the final answer (6 + 10 + 8 + 1 = 25), which is an incorrect method.
• Option D: This result could come from adding the positions and the number between them and then adding an extra two, perhaps from incorrectly applying a formula (6 + 10 + 8 + 2 = 26).

Related Visual

• Visual 1: Diagram - A simple line diagram showing the positions. It would depict a line with 'L' and 'R' at the ends. It would show 5 dots, then 'Rajan', then 8 dots, then 'Vinay', and finally 9 dots to illustrate the total of 24 boys.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the candidate's ability to solve problems related to linear arrangements and logical reasoning as background academic context rather than a clinical decision trigger.
• This is a logical reasoning question, not a clinical one. However, the underlying skills are crucial in nursing.
• Logical reasoning helps nurses prioritize tasks, interpret data from multiple sources (like patient history, lab results, and vital signs), and make sound clinical judgments quickly.
• Problem-solving skills are essential for troubleshooting equipment, managing patient care plans, and responding to emergencies effectively.

How to Approach the Question

• First, identify all the numerical data provided: Rajan's position (6th left), Vinay's position (10th right), and the number of boys between them (8).
• Recognize that there are two possible arrangements: non-overlapping and overlapping.
• Test the validity of the overlapping case first. The formula is Total = (Left + Right) - (Between + 2). Here, (6+10) - (8+2) = 6. This is a contradiction because Vinay cannot be 10th from the right in a row of 6. So, overlap is not possible.
• Since the overlap case is invalid, use the formula for the non-overlapping case: Total = Left + Right + Between.
• Calculate the total: 6 + 10 + 8 = 24.
• Select the option that matches your calculated total.

Concept Tested & Keywords

• Concept Tested: This question tests the candidate's ability to solve problems related to linear arrangements and logical reasoning.
• Stem keywords: row of boys, left end, right end, between
• Lead-in keywords: how many

Question ID

QjN-WDD0CnjznUpm1VLvCk

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