Simplify the following.
103 * 2 + 103 * 3 + (50 * 2 - 100)

Appeared in: DSSSB 13 August 2024

Explanation

The expression is solved using the BODMAS/PEMDAS rule, which dictates the order of operations: Brackets, Orders, Division/Multiplication, and finally Addition/Subtraction.
First, the value of the expression in the parenthesis (50 * 2 - 100) is calculated as 0.
Next, the multiplication operations are performed: 103 * 2 = 206 and 103 * 3 = 309.
Finally, the results are added together: 206 + 309 + 0 = 515.

Option A: This is a base number used in the calculation, not the final result of the entire expression.
Option B: This is an incorrect calculation and does not logically follow from any step of the simplification.
Option C: This is the result of only the part of the expression within the parentheses (50 * 2 - 100). This error occurs by ignoring the other terms in the expression.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Order of Operations (BODMAS/PEMDAS) as background academic context rather than a clinical decision trigger.
Accurate calculation is a fundamental skill in nursing, critical for patient safety.
Errors in arithmetic can lead to medication errors (overdosing or underdosing), incorrect IV drip rate calculations, or misinterpretation of fluid balance charts.
What if? If the expression was 103 * (2 + 3) + (50 * 2 - 100), the answer would still be 515, demonstrating the distributive property. However, if the last part was (50 * 2 + 100), the result would be 515 + 200 = 715, highlighting how a single sign change alters the outcome.

How to Approach the Question

This is a factual recall and application question.
First, identify the operations involved: multiplication, addition, and subtraction within parentheses.
Recall the order of operations using the mnemonic BODMAS or PEMDAS.
Step 1: Solve the innermost brackets first: (50 * 2 - 100).
Step 2: Perform all multiplication and division operations from left to right.
Step 3: Perform all addition and subtraction operations from left to right to get the final answer.

Concept Tested & Keywords

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Practise the full DSSSB 13 August 2024

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