Explanation

AERIE : EAGLE :: House : person

An aerie is where an eagle lives; a house is where a person lives.

Explanation

Potatoes, Beans, and Tomatoes are generally considered vegetables (though tomatoes are technically fruits, they're often used as vegetables in cooking).

Apple, on the other hand, is a fruit and is primarily consumed as such.

Explanation

The correct analogy is "Articulate : Speech".

As being articulate relates to clear and effective speech.

Just as being graceful relates to elegant movement.

Explanation

 Desires, wishes, and hopes are related to aspirations,

While "white" is a color and does not fit the same thematic context

Explanation

The first three words relate to positive human values,

while terror is a negative concept associated with fear.

Explanation

The relationship between the words "Encourage" and "Restrict" is that they are antonyms, meaning they have opposite meanings. 

"Encourage" means to support or promote something.

"Restrict" means to limit or control something.

Similarly, the word pair "Dearth" and "Surplus" are also antonyms.

"Dearth" means a scarcity or lack of something.

"Surplus" means an excess or abundance of something.

Explanation

We can set up the proportion as:

6/m = 9/12

Cross-multiply:

6 × 12 = 9 × m

Simplify:

72 = 9m

Divide both sides by 9:

m = 72/9

m = 8

So, the correct answer is: 8

Explanation

The given ratio is 16:24, which can be simplified as 2:3 (by dividing both numbers by 8).

To maintain the same ratio, we need to find the number that will maintain the 2:3 ratio with 72.

Let's multiply 72 by 2/3:

(2/3) × 72 = 48

So, the correct answer is: 48

The ratio 16:24 is equivalent to 2:3, and similarly, the ratio ? : 72 is equivalent to 2:3, which leads to the answer 48.

Explanation

The analogy is: 8 : ? :: 1 : 4

We know that 1 × 4 = 4, so we need to find the number that 8 is multiplied by to get the answer.

Since 8 × 4 = 32, the correct answer is 32.

Explanation

Fux is to power as Keyboard is to Computer.

A keyboard is an input device primarily used to interact with a computer.

Fux relates to power.