Select the lettered pair that best expresses a relationship similar to that expressed by the original pair.35 : 194 :: 29 : 164 :: 20 : ?radio_button_unchecked120radio_button_unchecked119radio_button_unchecked160radio_button_unchecked215
Question
Select the lettered pair that best expresses a relationship similar to that expressed by the original pair.35 : 194 :: 29 : 164 :: 20 : ?radio_button_unchecked120radio_button_unchecked119radio_button_unchecked160radio_button_unchecked215
Solution
The relationship in the given pairs is that the second number is 5 times the square of the first number plus 9.
For the first pair, 35 : 194, we can see that 35^2 is 1225, and 5 times 1225 is 6125. If we add 9 to 6125, we get 6134, which is not 194. So, this relationship doesn't hold for the first pair.
For the second pair, 29 : 164, we can see that 29^2 is 841, and 5 times 841 is 4205. If we add 9 to 4205, we get 4214, which is not 164. So, this relationship doesn't hold for the second pair either.
For the third pair, 20 : ?, we can see that 20^2 is 400, and 5 times 400 is 2000. If we add 9 to 2000, we get 2009. So, the third pair should be 20 : 2009. However, this option is not given in the choices.
Therefore, there seems to be a mistake in the question or the options provided.
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