Select the set in which the numbers are related in the same way as 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 /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.)
(19, 456, 6)
(16, 320, 5)

Logic: Multiply the product of the first and third numbers of the given set by 4 to get the second number.

(19, 456, 6) = $$(19 \times 6) \times 4 = 114 \times 4 = 456$$

(16, 320. 5) = $$(16 \times 5) \times 4 = 80 \times 4 = 320$$​​

(a) (18, 378, 7) = $$(18 \times 7) \times 4 = 126 \times 4 = 504 \not=378$$  

(b) (14, 210, 5) = $$(14 \times 5) \times 4 = 70 \times 4 = 280\not=210$$​​

(c) (21, 504, 8) = $$(21 \times 8) \times 4 = 168 \times 4 = 672\not=504$$​​

(d) (18, 648, 9) = $$(18 \times 9) \times 4 = 162 \times 4 = 648$$ = 648

Thus, only option (d) follows the same logic. So, the correct option is (d).