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. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(108, 27, 9)

(132, 33, 11)

Accepted Answer

Let's discover the mathematical logic between the numbers of the given sets:
* First Set:

(108, 27, 9)

\frac{108}{4} = 27 and \frac{27}{3} = 9 ⟹ 9 \times 12 = 108

* Second Set:

(132, 33, 11)

\frac{132}{4} = 33 and \frac{33}{3} = 11 ⟹ 11 \times 12 = 132

The consistent core logic pattern is:

First Number = 4 \times Second Number and Second Number = 3 \times Third Number

⟹ First Number = 12 \times Third Number

Let's test the given options to find a matching set:

* Option A:

(180, 45, 10) \to 10 \times 12 = 120 \neq = 180

* Option B:

(180, 55, 15) \to 15 \times 3 = 45 \neq = 55

* Option C:

(180, 45, 15) \to 15 \times 3 = 45

and

45 \times 4 = 180

. This satisfies the pattern perfectly.

Therefore, the matching set is

(180, 45, 15)

.

Solution & Step-by-step Explanation

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