Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/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.)
(3, 11, 92)
(4, 8, 264)
Option 1: (2, 32, 50)
Option 2: (7, 13, 2401)
Option 3: (5, 35, 660)
Option 4: (6, 12, 676)
Correct Answer: (5, 35, 660)
Solution :
Given:
(3, 11, 92); (4, 8, 264)
The pattern is as follows –
(3, 11, 92)→(3)
4
+ 11 = 81 + 11 = 92
(4, 8, 264)→(4)
4
+ 8 = 256 + 8 = 264
Let's check the options –
First option:
(2, 32, 50)→(2)
4
+ 32 = 16 + 32 = 48 ≠ 50
Second option:
(7, 13, 2401)→(7)
4
+ 13 = 2401 + 13 = 2414 ≠ 2401
Third option:
(5, 35, 660)→(5)
4
+ 35 = 625 + 35 = 660
Fourth option:
(6, 12, 676)→(6)
4
+ 12 = 1296 + 12 = 1308 ≠ 676
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.