In a certain code language, WIRE = 64, GLOBE = 125, STATUE = 216, then what will be SILICON coded as?

Appeared in: DSSSB - 29 August 2019 (Shift-2)

Explanation

The logical pattern connects the word to the number based on the quantity of letters in the word.
The specific operation is cubing the letter count. If a word has 'n' letters, its code is n³.
The word 'SILICON' contains 7 letters.
Applying the pattern, the code is calculated as 7³ (7 x 7 x 7), which equals 343.

Option A: This is the result of squaring the number of letters (7² = 49), whereas the established pattern from the examples is cubing the number (n³).
Option B: This number does not have a simple mathematical relationship with the number 7 (the letter count of SILICON) that aligns with the pattern established by the examples.
Option C: This number does not follow the identified pattern of cubing the letter count. It appears to be an arbitrary distractor.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Coding and Decoding as background academic context rather than a clinical decision trigger.
While not a clinical question, this type of logical reasoning is a foundational skill for nurses. It aids in systematically analyzing patient data, identifying patterns in symptoms, and making logical deductions for care planning.
Problem-solving skills tested in such questions are transferable to clinical settings, where nurses must quickly assess situations and determine the correct course of action based on established protocols and patterns.
What if? If the code for 'WIRE' was 16 instead of 64, the pattern would likely be n² (number of letters squared). In that scenario, the code for 'SILICON' (7 letters) would be 7² = 49.

How to Approach the Question

First, analyze the given examples (WIRE=64, GLOBE=125, STATUE=216) to find a consistent relationship between the word and the number.
Count the number of letters in each example word: WIRE has 4, GLOBE has 5, and STATUE has 6.
Test simple mathematical operations. Notice that 64 is the cube of 4 (4³), 125 is the cube of 5 (5³), and 216 is the cube of 6 (6³).
This reveals the pattern: The code is the cube of the word's letter count.
Apply this established pattern to the question word, 'SILICON', which has 7 letters.
Calculate the result: 7³ = 343.

Concept Tested & Keywords

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Practise the full DSSSB - 29 August 2019 (Shift-2)

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