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.)
(84,28,7)
(144,48,12)
- A(180, 50, 15)
- B(180, 60, 10)
- C(180, 60, 15)
- D(160, 60, 15)
Solution & Step-by-step Explanation
Let's identify the relationship pattern existing inside the given reference number triples:
Set 1: (84,28,7)
3
84
=28
4
28
=7
Alternatively: 7×4=28 and 28×3=84.
Set 2: (144,48,12)
3
144
=48
4
48
=12
Alternatively: 12×4=48 and 48×3=144.
The basic relationship pattern is:
Second Number=
3
First Number
Third Number=
4
Second Number
Let's test this pattern on the given choices:
Option C: (180,60,15)
3
180
=60 (True)
4
60
=15 (True)
Hence, Option C satisfies the exact same logic.
Set 1: (84,28,7)
3
84
=28
4
28
=7
Alternatively: 7×4=28 and 28×3=84.
Set 2: (144,48,12)
3
144
=48
4
48
=12
Alternatively: 12×4=48 and 48×3=144.
The basic relationship pattern is:
Second Number=
3
First Number
Third Number=
4
Second Number
Let's test this pattern on the given choices:
Option C: (180,60,15)
3
180
=60 (True)
4
60
=15 (True)
Hence, Option C satisfies the exact same logic.