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.)
(12, 14, 38)
(6, 23, 35)
Option 1: (8, 10, 24)
Option 2: (19, 9, 38)
Option 3: (16, 11, 43)
Option 4: (4, 5, 20)
Correct Answer: (16, 11, 43)
Solution :
Given:
(12, 14, 38); (6, 23, 35)
Multiply the first number by 2 and add the resultant to the second number, to get the third number –
⇒ (12,14, 38)→12 × 2 + 14 = 38
⇒ (6, 23, 35)→6 × 2 + 23 = 35
Let's check each option –
First option:
(8,10, 24)→8 × 2 + 10 = 26 ≠ 24
Second option:
(19, 9, 38)→19 × 2 + 9 = 47 ≠ 38
Third option:
(16, 11, 43)→16 × 2 + 11 = 43
Fourth option:
(4, 5, 20)→4 × 2 + 5 = 13 ≠ 20
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.