# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-6/8

Exercises: Try Out - Set 6: Real exam simulation to sharpen your skills and build confidence. - Question 8

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## Exercise 8

### Question

export const metadata = {
    title: "Question 8",
    authors: [{ name: "Nabil Akbarazzima Fatih" }],
    date: "12/23/2025",
};

If <InlineMath math="W(P@Q\#R) = 2P^2 - Q + 3\sqrt{R}" />, then the value of <InlineMath math="W(5@8\#4) =" /> ....


### Choices

- [ ] $$46$$
- [x] $$48$$
- [ ] $$54$$
- [ ] $$56$$
- [ ] $$58$$

### Answer & Explanation

export const metadata = {
  title: "Solution for Question 8",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/23/2025",
};

Given the function operation definition <InlineMath math="W(P@Q\#R) = 2P^2 - Q + 3\sqrt{R}" />.

We are asked to find the value of <InlineMath math="W(5@8\#4)" />.

Based on the position of variables in the function definition, we can identify the following values:
- <InlineMath math="P = 5" />
- <InlineMath math="Q = 8" />
- <InlineMath math="R = 4" />

Substitute these values into the function equation:

<MathContainer>
  <BlockMath math="W(5@8\#4) = 2(5)^2 - 8 + 3\sqrt{4}" />
</MathContainer>

Perform the calculation step by step:
1. Calculate the square: <InlineMath math="5^2 = 25" />
2. Calculate the square root: <InlineMath math="\sqrt{4} = 2" />

Then the equation becomes:

<MathContainer>
  <BlockMath math="W(5@8\#4) = 2(25) - 8 + 3(2)" />
  <BlockMath math="W(5@8\#4) = 50 - 8 + 6" />
  <BlockMath math="W(5@8\#4) = 42 + 6" />
  <BlockMath math="W(5@8\#4) = 48" />
</MathContainer>

So, the value of <InlineMath math="W(5@8\#4)" /> is <InlineMath math="48" />.


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