Question : Directions: Select the set in which the numbers are related similarly to the numbers of the following set.
(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.)
(2, 114, 19)
(12, 216, 6)
Option 1: (5, 20, 2)
Option 2: (6, 144, 8)
Option 3: (11, 176, 4)
Option 4: (4, 128, 7)
Correct Answer: (6, 144, 8)
Solution :
Given:
(2, 114, 19); (12, 216, 6)
In the given sets, multiply the first and the third numbers by 3 to obtain the second number.
(2, 114, 19)→3 × 2 × 19 = 6 × 19 = 114
(12, 216, 6)→3 × 12 × 6 = 36 × 6 = 216
Now, let's check the options –
First option:
(5, 20, 2)→3 × 5 × 2 = 15 × 2 = 30
≠ 20
Second option:
(6, 144, 8)→3 × 6 × 8 = 18 × 8 = 144
Third option:
(11, 176, 4)→3 × 11 × 4 = 33 × 4 = 132
≠ 176
Fourth option:
(4, 128, 7)→3 × 4 × 7 = 12 × 7 = 84
≠ 128
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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