Number Sets Relation

The task is to identify a numerical relationship that holds true for the given example sets and then find which option matches this pattern.

Number Sets Relation Analysis

We are given two example sets: (17, 153, 81) and (19, 171, 81).

• For set (17, 153, 81):
• The first number is 17.
• The second number, 153, can be obtained by multiplying the first number by 9: $17 \times 9 = 153$.
• The third number is 81.
• For set (19, 171, 81):
• The first number is 19.
• The second number, 171, can be obtained by multiplying the first number by 9: $19 \times 9 = 171$.
• The third number is 81.

The consistent pattern identified across both sets is: (First Number, First Number $\times$ 9, 81).

Options Pattern Check

Now, let's apply this pattern to the given options:

• Option 1: (14, 126, 90)
• Check: $14 \times 9 = 126$. The second number matches. However, the third number is 90, not 81. This option does not fit.
• Option 2: (11, 99, 72)
• Check: $11 \times 9 = 99$. The second number matches. However, the third number is 72, not 81. This option does not fit.
• Option 3: (16, 144, 75)
• Check: $16 \times 9 = 144$. The second number matches. However, the third number is 75, not 81. This option does not fit.
• Option 4: (15, 135, 81)
• Check: $15 \times 9 = 135$. The second number matches. The third number is 81. This option fits the pattern perfectly.

Therefore, the set (15, 135, 81) follows the same numerical relationship.