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2 : 16 : : 3:54 : : 4 : ?...

2 : 16 : : 3:54 : : 4 : ?

A

120

B

124

C

128

D

132

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify the relationship between the given pairs of numbers. The pairs are (2, 16), (3, 54), and we need to find the value that corresponds to 4. ### Step-by-Step Solution: 1. **Identify the relationship for the first pair (2, 16)**: - We can see that \(2^3 = 8\). - Now, multiply this result by 2: \(8 \times 2 = 16\). - Thus, the relationship can be expressed as: \[ 2^3 \times 2 = 16 \] 2. **Identify the relationship for the second pair (3, 54)**: - Calculate \(3^3 = 27\). - Now, multiply this result by 2: \(27 \times 2 = 54\). - This relationship can be expressed as: \[ 3^3 \times 2 = 54 \] 3. **Apply the same logic to find the value for 4**: - Calculate \(4^3 = 64\). - Now, multiply this result by 2: \(64 \times 2 = 128\). - Therefore, the relationship for 4 can be expressed as: \[ 4^3 \times 2 = 128 \] 4. **Conclusion**: - The value that corresponds to 4 is **128**. ### Final Answer: The answer is **128**.
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