(112 x 5") = ?

Appeared in: SGPGI Nursing Officer-2022

Explanation

The expression (112 x 5") is interpreted as a multiplication problem where 5" stands for 5 to the power of 4.
First, calculate the value of 5⁴, which is 5 × 5 × 5 × 5 = 625.
Next, multiply 112 by 625. The product is 70,000.
A useful shortcut for multiplying by 625 is to divide the number by 16 and then multiply by 10,000 (add four zeros). In this case, 112 ÷ 16 = 7, and 7 × 10,000 = 70,000.

Option A: This is an incorrect calculation. It might result from stopping the multiplication process early or making an arithmetic error.
Option C: This value is incorrect and does not correspond to the product of 112 and 625. It is likely a random distractor or the result of a significant calculation error.
Option D: This value is also an incorrect calculation. Such errors can occur from misaligning numbers during manual multiplication or other arithmetic mistakes.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Numerical Ability & Calculation Shortcuts as background academic context rather than a clinical decision trigger.
While this is a general aptitude question, strong numerical skills are fundamental in nursing.
Nurses must perform accurate calculations daily for medication dosages, IV drip rates, and fluid balance monitoring.
Errors in calculation can have serious patient safety consequences, making numeracy a critical competency.

How to Approach the Question

First, analyze the expression and identify the mathematical operations involved. The question asks for the product of 112 and 5".
Recognize that in the context of competitive exam math questions, unconventional notations like '"' can represent powers. Here, it signifies the 4th power.
Calculate the value of the term with the power: 5⁴ = 625.
Perform the final multiplication: 112 × 625.
To save time and ensure accuracy, apply a mental math shortcut if you know one. For multiplying by 625, the trick is to divide by 16 and add four zeros.
Execute the shortcut: 112 ÷ 16 = 7. Add four zeros to get 70,000.

Concept Tested & Keywords

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