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.)

(54, 51, 48)

(46, 40, 34)

The correct option is (58, 47, 36).

Step-by-step Explanation:

First, let us analyze the relationship between the numbers in the given sets:
1) (54, 51, 48)
2) (46, 40, 34)

Let the numbers in each set be represented as $(A,B,C)$.

If we look at the difference between consecutive numbers in each set, we find that it is constant:

For the first set $(54,51,48)$:

$54-51=3$

$51-48=3$

Both differences are equal to 3.

For the second set $(46,40,34)$:

$46-40=6$

$40-34=6$

Both differences are equal to 6.

This means the pattern follows the rule:

$A-B=B-C$

Now, let us test the given options to see which set follows this same relationship:

Option 1: (58, 47, 36)

$58-47=11$

$47-36=11$

Since the difference is constant ($11$), this set follows the same pattern.

Option 2: (42, 45, 32)

$42-45=-3$

$45-32=13$

The differences are not equal.

Option 3: (50, 42, 28)

$50-42=8$

$42-28=14$

The differences are not equal.

Option 4: (48, 53, 38)

$48-53=-5$

$53-38=15$

The differences are not equal.

Therefore, the set with the same relationship is (58, 47, 36).