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.)
(53, 102, 151)
(74, 123, 172)
- A(56, 105, 161)
- B(69, 119, 159)
- C(84, 57, 190)
- D(48, 97, 146)
Solution & Step-by-step Explanation
Let's examine the common difference between adjacent terms in the given sets:
First Set: (53, 102, 151)
102−53=49
151−102=49
Second Set: (74, 123, 172)
123−74=49
172−123=49
Both reference sets form an Arithmetic Progression with a common difference of 49. Let's look for an option that shares this exact pattern:
Option A: 105−56=49, but 161−105=56 (Incorrect)
Option B: 119−69=50 (Incorrect)
Option D: 97−48=49 and 146−97=49 (Correct!)
Thus, the set with the same relationship is (48, 97, 146).
First Set: (53, 102, 151)
102−53=49
151−102=49
Second Set: (74, 123, 172)
123−74=49
172−123=49
Both reference sets form an Arithmetic Progression with a common difference of 49. Let's look for an option that shares this exact pattern:
Option A: 105−56=49, but 161−105=56 (Incorrect)
Option B: 119−69=50 (Incorrect)
Option D: 97−48=49 and 146−97=49 (Correct!)
Thus, the set with the same relationship is (48, 97, 146).