Question : Directions: Select the set in which the numbers are related similarly to 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.)
(17, 12, 612)
(6, 14, 252)
Option 1: (3, 6, 108)
Option 2: (11, 4, 144)
Option 3: (13, 7, 273)
Option 4: (2, 3, 12)
Correct Answer: (13, 7, 273)
Solution :
Given:
(17, 12, 612); (6, 14, 252)
Multiply the product of the first and second numbers by 3, to get the third number –
(17, 12, 612)→17 × 12 × 3 = 612
(6, 14, 252)→6 × 14 × 3 = 252
Let's check the options –
First option:
(3, 6, 108)→3 × 6 × 3 = 54 ≠ 108
Second option:
(11, 4, 144)→11 × 4 × 3 = 132 ≠ 144
Third option:
(13, 7, 273)→13 × 7 × 3 = 273
Fourth option:
(2, 3, 12)→2 × 3 × 3 = 18 ≠ 12
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.