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 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) (1, 8, 3) (2, 21, 5)

• A. (2, 26, 3)
• B. (5, 112, 11)
• C. (7, 128, 10)
• D. (4, 33, 7)

Answer 1

Answer:

D. (4, 33, 7)

The correct set is (4, 33, 7).

As calculated using our formula ($\mathbf{C^2 - A^2 = B}$):

• $7^2 - 4^2 = 49 - 16 = \mathbf{33}$

Let's double-check why the other options do not fit this logic:

• (2, 26, 3): $3^2 - 2^2 = 9 - 4 = 5$ (Not 26)

• (5, 112, 11): $11^2 - 5^2 = 121 - 25 = 96$ (Not 112)

• (7, 128, 10): $10^2 - 7^2 = 100 - 49 = 51$ (Not 128)