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.)
(13, 18, 21); (11, 25, 8)
Option 1: (6, 10, 12)
Option 2: (4, 12, 24)
Option 3: (8, 16, 23)
Option 4: (14, 33, 9)
Correct Answer: (14, 33, 9)
Solution :
Given:
(13, 18, 21); (11, 25, 8)
Like, (13, 18, 21)→(18 + 21) ÷ 3 = 39 ÷ 3 = 13
(11, 25, 8)→(25 + 8) ÷ 3 = 33 ÷ 3 = 11
Let's check the options –
First option:
(6, 10, 12)→(10 + 12) ÷ 3 = 22 ÷ 3 = 7.33 ≠ 6
Second option:
(4, 12, 24)→(12 + 24) ÷ 3 = 36 ÷ 3 = 12 ≠ 4
Third option:
(8, 16, 23)→(16 + 23) ÷ 3 = 39 ÷ 3 = 13 ≠ 8
Fourth option:
(14, 33, 9)→(33 + 9) ÷ 3 = 42 ÷ 3 = 14
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.