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 their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (10, 12, 11) (14, 18, 16)

• A. (5, 15, 10)
• B. (9, 8, 16)
• C. (8, 7, 10)
• D. (10, 15, 12)

Answer 1

Answer:

A. (5, 15, 10)

The correct option is (5, 15, 10).

Logic:

The pattern followed by the numbers in the sets is:
$\frac{\text{First Number} + \text{Second Number}}{2} = \text{Third Number}$ (The third number is the average of the first two numbers).

• Set 1: (10, 12, 11) $\rightarrow \frac{10 + 12}{2} = \frac{22}{2} = 11$

• Set 2: (14, 18, 16) $\rightarrow \frac{14 + 18}{2} = \frac{32}{2} = 16$

Checking the Options:

• (5, 15, 10): $\frac{5 + 15}{2} = \frac{20}{2} = \mathbf{10}$ (Matches the logic)

• (9, 8, 16): $\frac{9 + 8}{2} = 8.5 \neq 16$

• (8, 7, 10): $\frac{8 + 7}{2} = 7.5 \neq 10$

• (10, 15, 12): $\frac{10 + 15}{2} = 12.5 \neq 12$