On dividing a certain number by 342, we get 47 as remainder. What will be the remainder, if the same number is divided by 18?

Appeared in: RRB Staff Nurse Jaipur-6th June 2018

Explanation

The problem uses the property of division where if a number N = Dk + R, the remainder when N is divided by a factor 'd' of D is the same as the remainder when R is divided by 'd'.
The first divisor is 342 and the second divisor is 18. We check if 342 is divisible by 18. 342 = 18 × 19. It is.
Because the first divisor is a multiple of the second, the new remainder can be found by simply dividing the first remainder (47) by the second divisor (18).
Dividing 47 by 18 gives: 47 = (18 × 2) + 11.
The remainder from this calculation is 11, which is the final answer.

Option B: This is an incorrect calculation. It does not represent the remainder when 47 is divided by 18.
Option C: This is an incorrect calculation. It does not represent the remainder when 47 is divided by 18.
Option D: This is an incorrect calculation. It does not represent the remainder when 47 is divided by 18.

Visual 1: Flowchart: A flowchart illustrating the shortcut method. Step 1: Identify Divisor 1, Remainder 1, and Divisor 2. Step 2: Check if Divisor 1 is a multiple of Divisor 2. Step 3 (If Yes): Divide Remainder 1 by Divisor 2. Step 4: The result is the new remainder.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Remainder Theorem and Properties of Division as background academic context rather than a clinical decision trigger.
This type of question does not have direct clinical relevance.
It tests general intelligence, numerical ability, and problem-solving skills, which are essential components of nursing entrance examinations.
These skills are foundational for tasks like medication dosage calculation, interpreting lab results, and managing patient data, which require precision and logical thinking.

How to Approach the Question

First, read the question carefully to identify the given information: Original Divisor (342), Original Remainder (47), and New Divisor (18).
The core of the problem is to find the remainder when the same number is divided by the new divisor.
Check for a relationship between the two divisors. Ask yourself: Is 342 divisible by 18?
Perform the division: 342 ÷ 18 = 19. Since it divides perfectly, a shortcut can be used.
Apply the shortcut: The new remainder is the remainder obtained by dividing the original remainder (47) by the new divisor (18).
Calculate 47 ÷ 18. 18 goes into 47 two times (18 × 2 = 36), leaving a remainder of 47 - 36 = 11.

Concept Tested & Keywords

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Practise the full RRB Staff Nurse Jaipur-6th June 2018

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