General intelligence

The letters of the words are coded using a specific mathematical pattern based on their alphabetical positions. Applying this system, PLACE is coded as 82137, where P corresponds to 8 and E corresponds to 7. Option B (81237) is incorrect because it transposes the positions of the coded digits for L and A.

The series follows the pattern of adding consecutive odd numbers, where the next term is 26 plus 11, resulting in 37. Alternatively, each term represents n squared plus 1. Option A is incorrect because 35 assumes a constant addition of 9, which violates the increasing odd difference pattern.

A line is a one-dimensional geometric figure with no enclosed area, whereas a triangle, square, and hexagon are all closed two-dimensional polygons. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.

• !Choosing any of the polygon options is incorrect because they all share the common property of enclosing a multi-sided space.
• !Option B (81237) is incorrect because it transposes the positions of the coded digits for L and A.
• !Option B is incorrect because assuming any cat could be a fish would violate the premise that no dogs are fish.
• !Option A is incorrect because 35 assumes a constant addition of 9, which violates the increasing odd difference pattern.

Answer each from memory — you'll see instantly whether you're right and why.

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