Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(82, 75, 66)
(69, 62, 53)
Option 1: (21, 16, 9)
Option 2: (49, 52, 35)
Option 3: (61, 54, 45)
Option 4: (36, 28, 21)
Correct Answer: (61, 54, 45)
Solution :
Given:
(82, 75, 66); (69, 62, 53)
The pattern is as follows –
(82, 75, 66)→82 – 75 = 7; 75 – 66 = 9
(69, 62, 53)→69 – 62 = 7; 62 – 53 = 9
Let's check the options –
First option:
(21, 16, 9)→21 – 16 = 5 ≠ 7; 16 – 9 = 7 ≠ 9
Second option:
(49, 52, 35)→49 – 52 = –3 ≠ 7; 52 – 35 = 17 ≠ 9
Third option:
(61, 54, 45)→61 – 54 = 7; 54 – 45 = 9
Fourth option:
(36, 28, 21)→36 – 28 = 8 ≠ 7; 28 – 21 = 7 ≠ 9
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.