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 / 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)

(35, 5, 7)

(108, 12, 9)

The correct option is (91, 13, 7).

Pattern Analysis:

Let the set of three numbers be represented as (A, B, C).

By observing the given sets, we can establish a pattern where the first number (A) is the product of the second number (B) and the third number (C):

$A=B\×C$

Let us verify this relationship with the given sets:

1. For the first set (35, 5, 7):

$5\×7=35$

2. For the second set (108, 12, 9):

$12\×9=108$

Now, let us test the given options to find which one follows the same rule:

• (118, 15, 9): $15\×9=135\≠118$ (Incorrect)

• (254, 17, 7): $17\×7=119\≠254$ (Incorrect)

• (91, 13, 7): $13\×7=91$ (Correct)

• (114, 14, 8): $14\×8=112\≠114$ (Incorrect)

Thus, the set (91, 13, 7) follows the same relationship as the given sets.