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10. TieH.C.F. of two numbers is 3 . Which of the following pairs represents the two numbers in the options below? A. 12 and 17 B. \( \quad 10 \) and 20 C. 9 and 15 D. 8 and 12 E. 4 and 6 15. 11. \( 25 \% \) of 500.00 is less than one of the following by \( \$ 80.00 \). A. \( \$ 195.00 \) B. \( \quad 2205.00 \) C. \( \quad \$ 225.00 \) D. \( \quad \) 230.00 E. \( \quad \$ 240.00 \) 12. Change \( \$ 32.08 \) to kobo. A. \( \quad 320 \) B. 328 C. \( \quad 330 \) D. 3,208 E. 3,280 13. How many NIO.00 added up to make \( 211,000.00 ? \)

Ask by Lyons Dickson. in Nigeria
Feb 20,2025

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Answer

- Problem 10: C. 9 and 15 - Problem 11: C. \$225.00 - Problem 12: D. 3,208 - Problem 13: 211,000.00

Solution

Let's solve each problem step by step. ### Problem 10: Finding the Pair of Numbers with H.C.F. of 3 We need to find which pair of numbers has a Highest Common Factor (H.C.F.) of 3. **Options:** - A. 12 and 17 - B. 10 and 20 - C. 9 and 15 - D. 8 and 12 - E. 4 and 6 **Step 1: Calculate H.C.F. for each pair.** 1. **A. 12 and 17** - Factors of 12: 1, 2, 3, 4, 6, 12 - Factors of 17: 1, 17 - H.C.F. = 1 2. **B. 10 and 20** - Factors of 10: 1, 2, 5, 10 - Factors of 20: 1, 2, 4, 5, 10, 20 - H.C.F. = 10 3. **C. 9 and 15** - Factors of 9: 1, 3, 9 - Factors of 15: 1, 3, 5, 15 - H.C.F. = 3 4. **D. 8 and 12** - Factors of 8: 1, 2, 4, 8 - Factors of 12: 1, 2, 3, 4, 6, 12 - H.C.F. = 4 5. **E. 4 and 6** - Factors of 4: 1, 2, 4 - Factors of 6: 1, 2, 3, 6 - H.C.F. = 2 **Conclusion for Problem 10:** The pair that has an H.C.F. of 3 is **C. 9 and 15**. --- ### Problem 11: Finding the Amount We need to find which amount is \( \$80.00 \) more than \( 25\% \) of \( 500.00 \). **Step 1: Calculate \( 25\% \) of \( 500.00 \).** \[ 25\% \text{ of } 500 = \frac{25}{100} \times 500 = 125 \] **Step 2: Add \( 80.00 \) to \( 125 \).** \[ 125 + 80 = 205 \] **Step 3: Compare with the options.** - A. \( 195.00 \) (not greater) - B. \( 2205.00 \) (not relevant) - C. \( 225.00 \) (greater) - D. \( 230.00 \) (greater) - E. \( 240.00 \) (greater) **Conclusion for Problem 11:** The amount that is \( \$80.00 \) more than \( 125 \) is **C. \( 225.00 \)**. --- ### Problem 12: Converting Dollars to Kobo We need to convert \( \$32.08 \) to kobo. **Step 1: Understand the conversion.** 1 dollar = 100 kobo. **Step 2: Calculate the conversion.** \[ 32.08 \text{ dollars} = 32.08 \times 100 = 3208 \text{ kobo} \] **Conclusion for Problem 12:** The amount in kobo is **D. 3,208**. --- ### Problem 13: Finding the Number of NIO.00 to Make 211,000.00 We need to find how many NIO.00 are needed to make \( 211,000.00 \). **Step 1: Understand the problem.** If we denote the number of NIO.00 as \( n \), then: \[ n \times 1 = 211,000 \] **Step 2: Solve for \( n \).** \[ n = 211,000 \] **Conclusion for Problem 13:** The number of NIO.00 needed is **211,000.00**. --- In summary: - Problem 10: C. 9 and 15 - Problem 11: C. \( 225.00 \) - Problem 12: D. 3,208 - Problem 13: 211,000.00

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For the first question regarding common factors, the pair that has a greatest common factor (G.C.F.) of 3 is option C, which is 9 and 15. Both numbers share the factor of 3, and since 3 is their highest common factor, they fit the criteria perfectly! Now, when we talk about percentages, calculating 25% of $500.00 gives us $125.00. To find out what $125.00 is less than by $80.00, you add $80.00 to $125.00, which totals $205.00. The closest option that represents a number greater than this value is A, $195.00, meaning the other options would be even higher!

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