# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-10/1

Exercises: Try Out - Set 10: Real exam simulation to sharpen your skills and build confidence. - Question 1

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## Exercise 1

### Question

export const metadata = {
  title: "Question 1",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

import { Graph } from "../graph";

<Graph
  title="Triangle Pattern"
  description="Determine the correct letter to replace the question mark."
  mode="question"
/>

Observe the image above. The correct letter to replace the question mark (?) in the second triangle is...


### Choices

- [ ] $$V$$
- [ ] $$W$$
- [ ] $$X$$
- [x] $$Y$$
- [ ] $$Z$$

### Answer & Explanation

export const metadata = {
  title: "Solution for Question 1",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

import { Graph } from "../graph";

Define the letters according to their alphabetical order:

- <InlineMath math="A = 1" />
- <InlineMath math="B = 2" />
- <InlineMath math="C = 3" />
- ...
- <InlineMath math="Z = 26" />

Thus, we can convert the letters in the triangles into numbers:

<Graph mode="explanation-numbers" title="Conversion to Numbers" description="Letters are converted to numbers based on alphabetical order." />

Observe that the first triangle follows a pattern:

<MathContainer>
  <BlockMath math="(\text{Left} + \text{Right}) \times (\text{Top} + \text{Bottom}) = \text{Center}" />
  <BlockMath math="(4 + 6) \times (1 + 1) = 10 \times 2 = 20" />
</MathContainer>

The number <InlineMath math="20" /> corresponds to the letter <InlineMath math="T" /> (the <InlineMath math="20" />th letter).

Using the same pattern, the number in the second triangle is:

<MathContainer>
  <BlockMath math="(1 + 4) \times (2 + 3) = 5 \times 5 = 25" />
</MathContainer>

<Graph mode="explanation-result" title="Pattern Calculation" description={<>The calculated result for the second triangle is <InlineMath math="25" />.</>} />

Substitute the number back to the letter sequence. The <InlineMath math="25" />th letter is <InlineMath math="Y" />.

<Graph mode="explanation-final" title="Final Result" description={<>Number <InlineMath math="25" /> is converted back to letter <InlineMath math="Y" />.</>} />

Therefore, the answer is <InlineMath math="Y" />.


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