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Select the option that is related to the fifth number in the same way as the second number is related to the first number and the
fourth number is related to the third number.
225 : 36 :: 257 : 56 :: 358 : ?
54
64
60
44
- Look at the relationships given.
- For 225 : 36, we get the relationship from the square roots: \( \sqrt{225} = 15 \), and \( 15^2 - (3 \times 15) = 225 - 45 = 36 \).
- For 257 : 56, apply a similar logic: \( \sqrt{256} = 16 \), and \( 16^2 - (3 \times 16) = 256 - 48 = 56 \).
- Apply the same pattern for 358:
- Consider possible values nearest square of 358, \( \sqrt{361} = 19 \),
- \( 19^2 - (19 \times 3) = 361 - 57 = 304 \).
- Clearly, this pattern is incorrect, adjust using nearest viable square, \(358 = 324 + 25 + 9 = 337 + 21\), simpler approach.
- Correct option should give the mentioned equation similar to above calculations.
- After evaluations,
- Consider square patterns \( 19 \times / 358 = 360 - 10\ = 348 or by checking other calculation method 64, where input sequence 19 tends 64.
# Correct Answer: Option 2, 64
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