More Questions from Ratio and Proportion

Directions : These questions are based on the following table : **Weight distribution in the average adult** | Organs | Weight (in grams) | |---|---| | Muscles | 30000 | | Skeleton | 10000 | | Blood | 5000 | | Gastrointestinal tract | 2000 | | Lungs | 1000 | | Liver | 1700 | | Brain | 1500 | The ratio expressed in decimals for weight of the brain to the weight of the muscles is

Aptitude Ratio and Proportion Difficulty: Medium
Choose an option
  • A
    $0.05$
  • B
    $0.15$
  • C
    $0.20$
  • D
    $0.50$
  • E
    None of these

Answer

Correct Answer: $0.05$

Explanation

### Concept & Decimal Ratios Find the requested ratio by setting up a fraction with the first named entity as the numerator and the second as the denominator, then solve to reach a decimal format. $$ \text{Decimal Ratio} = \frac{\text{Weight of Brain}}{\text{Weight of Muscles}} $$ ### Step-by-Step Solution * Locate the weight of the brain in the provided table: $1500$ grams. * Locate the weight of the muscles in the provided table: $30000$ grams. * Set up the proportional fraction: $$ \frac{1500}{30000} $$ * Cancel the two common zeros from the numerator and denominator: $$ \frac{15}{300} $$ * Simplify the fraction by dividing both terms by $15$: $$ \frac{1}{20} $$ * Convert the fraction to a decimal: $$ 1 \div 20 = 0.05 $$ ### Exam Strategy & Shortcut Observe the core numbers: $15$ and $30$. We know $15$ is exactly half of $30$, representing $0.5$. However, the denominator is $300$ (after cancelling two zeros from $30000$ and $1500$). This means we must divide by $10$ again, shifting the decimal one spot to the left: $0.5 \rightarrow 0.05$. ### Common Pitfall Carelessly dividing the larger number by the smaller number ($30000 \div 1500 = 20$) because the brain is listed first but is much lighter, leading to confusion. ### Final Answer Therefore, the correct answer is **$0.05$**.
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