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)
(195, 65, 13)
(255, 85, 17)
Correct Answer :
(285, 95, 19)
Solution :
To find the correct option, let's analyze the relationship between the numbers in the given sets:
First set: (195, 65, 13)
Second set: (255, 85, 17)
Let the three numbers in each set be represented as (A, B, C).
Let's check the relationship between the numbers:
In the first set:
(i.e., )
(i.e., )
This also means:
()
In the second set:
(i.e., )
(i.e., )
This also means:
()
Thus, the pattern for each set (A, B, C) is:
1.
2.
Now, let's test the options to find the one that follows the same logic:
Option 1: (280, 95, 19)
- (Correct for B)
- (Incorrect)
Option 2: (285, 95, 19)
- (Correct for B)
- (Correct for A)
This option perfectly follows the pattern.
Therefore, the set that is related in the same way is (285, 95, 19).
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