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In the questions, select the pair in whi...

In the questions, select the pair in which the numbers are similarly related as in the given pair.
5:35 :?:?

A

`7:77`

B

`9:45`

C

`11:55`

D

`3:24`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify the relationship between the numbers in the pair 5:35 and then find another pair that has the same relationship. ### Step-by-Step Solution: 1. **Identify the relationship in the given pair (5:35)**: - The first number is 5. - The second number is 35. - To find the relationship, we can express 35 in terms of 5. - We notice that \( 35 = 5 \times 7 \). 2. **Determine the pattern**: - The first number (5) is a prime number. - The second number (35) is obtained by multiplying the first number (5) by the next prime number (7). 3. **Analyze the options**: - **Option 1: 7:77** - Here, 77 can be expressed as \( 7 \times 11 \). - The first number (7) is a prime number, and the next prime number after 7 is 11. - Thus, the relationship holds: \( 7 \times 11 = 77 \). - **Option 2: 9:45** - 9 is not a prime number, so this option cannot be valid. - **Option 3: 11:55** - Here, 55 can be expressed as \( 11 \times 5 \), but the next prime after 11 is 13, not 5. - Therefore, this option does not maintain the same relationship. - **Option 4: 3:24** - Here, 24 can be expressed as \( 3 \times 8 \), but the next prime after 3 is 5. - Thus, this option does not maintain the same relationship. 4. **Conclusion**: - The only option that maintains the same relationship as 5:35 is **Option 1: 7:77**. ### Final Answer: The correct answer is **7:77**.

To solve the problem, we need to identify the relationship between the numbers in the pair 5:35 and then find another pair that has the same relationship. ### Step-by-Step Solution: 1. **Identify the relationship in the given pair (5:35)**: - The first number is 5. - The second number is 35. - To find the relationship, we can express 35 in terms of 5. ...
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