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.)
(23, 9, 307)
(17, 21, 457)
- A(28, 13, 464)
- B(34, 8, 392)
- C(14, 26, 264)
- D(18, 4, 222)
Solution & Step-by-step Explanation
Let's discover the mathematical relationship between the numbers in each triad (A,B,C):
For the first set: (23,9,307)
Let's try squaring the numbers:
23×9=207
207+100=307
Let's test this pattern on the second set: (17,21,457)
17×21=357
357+100=457
The logic is perfectly consistent: C=(A×B)+100.
Now let's test the options using this logic:
Option A: (28,13,464)
28×13=364
364+100=464.
This perfectly matches the logic!
Let's double-check other options just to be sure:
Option B: 34×8+100=272+100=372
=392
Option C: 14×26+100=364+100=464
=264
Option D: 18×4+100=72+100=172
=222
Therefore, the correct option is A.
For the first set: (23,9,307)
Let's try squaring the numbers:
23×9=207
207+100=307
Let's test this pattern on the second set: (17,21,457)
17×21=357
357+100=457
The logic is perfectly consistent: C=(A×B)+100.
Now let's test the options using this logic:
Option A: (28,13,464)
28×13=364
364+100=464.
This perfectly matches the logic!
Let's double-check other options just to be sure:
Option B: 34×8+100=272+100=372
=392
Option C: 14×26+100=364+100=464
=264
Option D: 18×4+100=72+100=172
=222
Therefore, the correct option is A.