# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-9/15

Exercises: Try Out - Set 9: Real exam simulation to sharpen your skills and build confidence. - Problem 15

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## Exercise 15

### Question

export const metadata = {
  title: "Problem 15",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/26/2025",
};

If <InlineMath math="x" /> is <InlineMath math="\frac{3}{4}" /> of <InlineMath math="34" /> and <InlineMath math="y" /> is <InlineMath math="46\%" /> of <InlineMath math="86" />, then...


### Choices

- [ ] $$x > y$$
- [x] $$x < y$$
- [ ] $$x = y$$
- [ ] $$2x = y$$
- [ ] $$x = 4y$$

### Answer & Explanation

export const metadata = {
  title: "Solution 15",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/26/2025",
};

#### Calculating the Value of <InlineMath math="x" />

Given <InlineMath math="x = \frac{3}{4}" /> of <InlineMath math="34" />, which means:

<MathContainer>
  <BlockMath math="x = \frac{3}{4} \times 34" />
  <BlockMath math="x = 25.5" />
</MathContainer>

#### Calculating the Value of <InlineMath math="y" />

Given <InlineMath math="y = 46\%" /> of <InlineMath math="86" />, then:

<MathContainer>
  <BlockMath math="y = 46\% \times 86" />
  <BlockMath math="y = \frac{46}{100} \times 86" />
  <BlockMath math="y = 39.56" />
</MathContainer>

#### Conclusion

Based on the calculations above, we get <InlineMath math="x = 25.5" /> and <InlineMath math="y = 39.56" />.

Consequently, <InlineMath math="x < y" />.


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