The numbers in each set are related to each other in a certain way. (12, 18, 3) , (20, 30, 5) , (36, 54, ?) Ba

Question

The numbers in each set are related to each other in a certain way. (12, 18, 3) , (20, 30, 5) , (36, 54, ?) Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.

Accepted Answer

Let's find the mathematical relation between the numbers

(A, B, C)

in each set:Set 1:

(12, 18, 3)

$

12 \times 18 = 216 ⟹ 3216 = 6 ⟹ \frac{6}{2} = 3

A lt er na t i v e l y, l e t^{'} s l oo ka t s im pl er a t i os :

\frac{B}{A} = \frac{18}{12} = 1.5

$

\frac{A}{4} = \frac{12}{4} = 3

Let's check if this holds for Set 2:

(20, 30, 5)

$

\frac{B}{A} = \frac{30}{20} = 1.5

$

\frac{A}{4} = \frac{20}{4} = 5

The logic is perfectly consistent:

C = \frac{A}{4}

where

B = 1.5 \times A

.Applying this to the third set

(36, 54, ?)

:

A = 36

B = 54 = 1.5 \times 36

C = \frac{36}{4} = 9

The numbers in each set are related to each other in a certain way. $(12, 18, 3)$ , $(20, 30, 5)$ , $(36, 54, ?)$ Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.

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The numbers in each set are related to each other in a certain way.(12,18,3), (20,30,5), (36,54,?) Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.