5/8 of 24 = 15 of ?

Appeared in: RRB Staff Nurse Mumbai-2015

Explanation

First, calculate the value of the left side of the equation: 5/8 of 24 is equivalent to (5/8) * 24.
The calculation simplifies to 5 * (24/8), which is 5 * 3 = 15.
The equation becomes 15 = 15 of ?. This phrasing is ambiguous and likely a typo for a proportional relationship, such as 15 = x / 15.
Solving for the unknown (x) in the equation 15 = x / 15 gives x = 15 * 15.
Therefore, the unknown value is 225.

Option B: The value 7 does not satisfy the equation. If we test it in the likely intended formula (x / 15 = 15), we get 7 / 15, which is not equal to 15.
Option C: The value 8 does not satisfy the equation. If we test it in the likely intended formula (x / 15 = 15), we get 8 / 15, which is not equal to 15.
Option D: The value 15 does not satisfy the equation. If we test it in the likely intended formula (x / 15 = 15), we get 15 / 15 = 1, which is not equal to 15.

Visual 1: No visual is required for this type of question, as it is a straightforward mathematical calculation.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving mathematical equations with fractions and proportions as background academic context rather than a clinical decision trigger.
This question tests basic mathematical aptitude, which is a component of general intelligence sections in nursing entrance exams.
While not a direct clinical skill, numeracy is crucial for nurses for tasks like medication dosage calculation, fluid balance monitoring, and interpreting lab results.
What if the question was '5/8 of 24 = 1/15 of ?'? The approach would be similar. The left side is 15. The equation becomes 15 = (1/15) * x. Solving for x gives x = 15 * 15 = 225. The answer remains the same, highlighting the likely typo in the original question.

How to Approach the Question

First, identify the two parts of the equation separated by the equals sign (=).
Calculate the value of the side with no unknown variables. In this case, calculate '5/8 of 24'. Remember that 'of' means multiplication.
Once you have the value (15), set up the simplified equation: 15 = '15 of ?'.
Analyze the structure of the second part. Recognize that '15 of ?' is likely a typo for a proportional relationship, such as '? / 15' or '1/15 of ?'.
Formulate the final equation based on the most logical interpretation (e.g., 15 = x / 15).
Solve for the unknown variable 'x' and select the matching option.

Concept Tested & Keywords

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Practise the full RRB Staff Nurse Mumbai-2015

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