Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(8, 8, 128)
(11, 7, 162)
Option 1: (7, 9, 128)
Option 2: (9, 8, 108)
Option 3: (6, 8, 124)
Option 4: (7, 8, 125)
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Correct Answer: (7, 9, 128)
Solution :
Given:
(8, 8, 128); (11, 7, 162)
Here, (8, 8, 128)→(8 + 8)
2
÷ 2 = (16)
2
÷ 2 = 256 ÷ 2 = 128
(11, 7, 162)→(11 + 7)
2
÷ 2 = (18)
2
÷ 2 = 324 ÷ 2 = 162
Let's check the options –
First option:
(7, 9, 128)→(7 + 9)
2
÷ 2 = (16)
2
÷ 2 = 256 ÷ 2 = 128
Second option:
(9, 8, 108)→(9 + 8)
2
÷ 2 = (17)
2
÷ 2 = 289 ÷ 2 = 144.5 ≠ 108
Third option:
(6, 8, 124)→(6 + 8)
2
÷ 2 = (14)
2
÷ 2 = 196 ÷ 2 = 98 ≠ 124
Fourth option:
(7, 8, 125)→(7 + 8)
2
÷ 2 = (15)
2
÷ 2 = 225 ÷ 2 = 112.5 ≠ 125
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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