Question 17

Select the set in which the numbers are related in the same way as are the numbers of the given 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 /Subtracting /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)
(5, 30, 60)
(11 , 66, 132)

The pattern has to be identified from the two model sets: $$(5, 30, 60)$$ and $$(11, 66, 132)$$.

Step 1 - Look for a multiplicative relationship.
Compare each first member with its corresponding second and third members:

For $$(5, 30, 60):$$
$$5 \times 6 = 30$$  and  $$5 \times 12 = 60$$

For $$(11, 66, 132):$$
$$11 \times 6 = 66$$  and  $$11 \times 12 = 132$$

Thus, the rule is:
Second number = $$\,$$(First number) $$\times 6$$
Third number = $$\,$$(First number) $$\times 12$$

Step 2 - Apply the rule to each option.

Option A: $$(6, 42, 148)$$
$$6 \times 6 = 36 \neq 42$$ → Fails.

Option B: $$(14, 84, 168)$$
$$14 \times 6 = 84$$ (matches)
$$14 \times 12 = 168$$ (matches) → Satisfies the rule.

Option C: $$(14, 16, 118)$$
$$14 \times 6 = 84 \neq 16$$ → Fails.

Option D: $$(2, 10, 16)$$
$$2 \times 6 = 12 \neq 10$$ → Fails.

Only Option B obeys the same relationship.

Final Answer: Option B which is: (14, 84, 168)

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