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Which of the following is greater than 1...

Which of the following is greater than `16.3%`?

A

163 out of 1000

B

113 out of 250

C

8 out of 50

D

39 out of 750

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Which of the following is greater than 16.3%?", we need to evaluate each option provided and determine which one exceeds 16.3%. Let's go through the options step by step: ### Step 1: Understand what 16.3% means 16.3% can be expressed as a fraction: \[ 16.3\% = \frac{16.3}{100} \] This means that for any given number, we can find 16.3% of that number by multiplying it by 0.163. ### Step 2: Evaluate each option #### Option 1: 163 To find out if 163 is greater than 16.3% of 1000: \[ \text{Calculate } 16.3\% \text{ of } 1000: \] \[ 16.3\% \text{ of } 1000 = \frac{16.3}{100} \times 1000 = 163 \] Since 163 is equal to 16.3%, it is not greater. #### Option 2: 113 To find out if 113 is greater than 16.3% of 250: \[ \text{Calculate } 16.3\% \text{ of } 250: \] \[ 16.3\% \text{ of } 250 = \frac{16.3}{100} \times 250 = 40.75 \] Since 113 is greater than 40.75, it is greater than 16.3%. #### Option 3: 8 To find out if 8 is greater than 16.3% of 50: \[ \text{Calculate } 16.3\% \text{ of } 50: \] \[ 16.3\% \text{ of } 50 = \frac{16.3}{100} \times 50 = 8.15 \] Since 8 is less than 8.15, it is not greater. #### Option 4: 39 To find out if 39 is greater than 16.3% of 750: \[ \text{Calculate } 16.3\% \text{ of } 750: \] \[ 16.3\% \text{ of } 750 = \frac{16.3}{100} \times 750 = 122.25 \] Since 39 is less than 122.25, it is not greater. #### Option 5: 750 To find out if 750 is greater than 16.3% of 1000: \[ \text{Calculate } 16.3\% \text{ of } 1000: \] \[ 16.3\% \text{ of } 1000 = 163 \] Since 750 is greater than 163, it is greater. ### Conclusion After evaluating all options, we find that: - **Option 2 (113)** and **Option 5 (750)** are greater than 16.3%. ### Final Answer The values greater than 16.3% are **113** and **750**.
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