A number divided by 56 gives the quotient 147 and remainder as 10. If the same number is divided by 55, the remainder is:

Appeared in: DSSSB 14 August 2024

Explanation

The problem is solved using the division algorithm: Dividend = (Divisor × Quotient) + Remainder.
First, calculate the original number: Number = (56 × 147) + 10 = 8232 + 10 = 8242.
Next, divide this number by the new divisor, 55.
8242 divided by 55 gives a quotient of 149 and a remainder of 47.
Therefore, the final remainder is 47.

Option B: This is an incorrect result obtained through a calculation error.
Option C: This is an incorrect result. It might be obtained by incorrectly handling the remainders, for example, by subtracting 1 from the new divisor (55-1=54).
Option D: This is an incorrect result obtained through a calculation error.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Division Algorithm and Remainders as background academic context rather than a clinical decision trigger.
While not a direct clinical question, this tests basic numeracy and logical reasoning, which are essential skills for nurses.
Nurses must perform accurate calculations daily for medication dosages, IV drip rates, and fluid balance monitoring, where a small mathematical error can have serious patient safety consequences.
What if? If the original remainder was 0, the number would be 8232. When 8232 is divided by 55, the remainder would be 37 (8232 = 55 × 149 + 37).

How to Approach the Question

First, identify the components given in the problem: Divisor (56), Quotient (147), and Remainder (10).
Use the standard division formula, Dividend = (Divisor × Quotient) + Remainder, to calculate the original number (the dividend).
Substitute the values: Number = (56 × 147) + 10.
Calculate the result to find the original number.
Take this number and divide it by the new divisor given in the question (55).
The remainder from this final division is the answer.

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.