Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOT

Question

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

(12, 36, 6)

(18, 54, 9)

Accepted Answer

Let the three numbers in each set be represented as

(n_{1}, n_{2}, n_{3})

.
Let's find the logical pattern between the numbers:

* In the first set

(12, 36, 6)

:

n_{2} = n_{1} \times 3 ⟹ 12 \times 3 = 36

n_{3} = \frac{n _{1}}{2} ⟹ \frac{12}{2} = 6

* In the second set

(18, 54, 9)

:

n_{2} = n_{1} \times 3 ⟹ 18 \times 3 = 54

n_{3} = \frac{n _{1}}{2} ⟹ \frac{18}{2} = 9

Now let's check the options for the same logic:

* Option D:

(28, 84, 14)

28 \times 3 = 84 = n_{2}

\frac{28}{2} = 14 = n_{3}

This matches the logic perfectly.

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

$(12, 36, 6)$

$(18, 54, 9)$

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Select the set in which the numbers are related in the same way as are the numbers of the following sets.(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)(12,36,6)(18,54,9)