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.)
(22,7,385)
(36,9,810)
- A(14,3,115)
- B(19,4,290)
- C(26,8,420)
- D(27,6,405)
Solution & Step-by-step Explanation
Let the three numbers in each set be represented as (A,B,C).
The logic followed here is:
C=
2
A×B×5
Let us verify this logic for the given sets:
For (22,7,385):
2
22×7×5
=11×7×5=385
For (36,9,810):
2
36×9×5
=18×9×5=810
Now, testing the options with the same logic:
Option A: (14,3,115)⟹
2
14×3×5
=7×3×5=105
=115
Option B: (19,4,290)⟹
2
19×4×5
=19×2×5=190
=290
Option C: (26,8,420)⟹
2
26×8×5
=13×8×5=520
=420
Option D: (27,6,405)⟹
2
27×6×5
=27×3×5=405
Therefore, the logic is satisfied only by Option D.
The logic followed here is:
C=
2
A×B×5
Let us verify this logic for the given sets:
For (22,7,385):
2
22×7×5
=11×7×5=385
For (36,9,810):
2
36×9×5
=18×9×5=810
Now, testing the options with the same logic:
Option A: (14,3,115)⟹
2
14×3×5
=7×3×5=105
=115
Option B: (19,4,290)⟹
2
19×4×5
=19×2×5=190
=290
Option C: (26,8,420)⟹
2
26×8×5
=13×8×5=520
=420
Option D: (27,6,405)⟹
2
27×6×5
=27×3×5=405
Therefore, the logic is satisfied only by Option D.