Question 15

Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
160 : 4 :: 250 : 5 :: 360 : ?

The analogy is presented in the form 160 : 4 :: 250 : 5 :: 360 : ?.

Observe how each first number is related to its paired number.
Compute the quotient of the first number divided by the second number in each known pair:

$$\frac{160}{4}=40$$
$$\frac{250}{5}=50$$

The quotients form the simple sequence 40, 50, … which increases by 10 each time. Therefore, the next quotient should be

$$50+10=60.$$

Let the missing number be $$x$$. Then, following the same pattern,

$$\frac{360}{x}=60 \;\;\Longrightarrow\;\; x=\frac{360}{60}=6.$$

Hence the number that completes the analogy is 6.

Option A which is: 6

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