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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.14:289::17:400::21:?576504570441

Question

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.14:289::17:400::21:?576504570441

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Solution

The pattern in the question is that the second number is the square of the first number plus 25.

For example, 14:289::17:400::21:?

Here, 14^2 = 196 and 196 + 93 = 289 Similarly, 17^2 = 289 and 289 + 111 = 400

So, for 21, we do 21^2 = 441 and 441 + 129 = 570

Therefore, the answer is 570.

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