Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given 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.)
(28, 53, 78); (34, 49, 64)
Option 1: (46, 69, 71)
Option 2: (22, 54, 66)
Option 3: (38, 40, 42)
Option 4: (54, 55, 27)
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Correct Answer: (38, 40, 42)
Solution :
Given:
(28, 53, 78); (34, 49, 64)
Here, (28, 53, 78)→(28 + 78) ÷ 2 = 106 ÷ 2 = 53
(34, 49, 64)→(34 + 64) ÷ 2 = 98 ÷ 2 = 49
Let's check the options –
First option:
(46, 69, 71)→(46 + 71) ÷ 2 = 117 ÷ 2 = 58.5 ≠ 69
Second option:
(22, 54, 66)→(22 + 66) ÷ 2 = 88 ÷ 2 = 44 ≠ 54
Third option:
(38, 40, 42)→(38 + 42) ÷ 2 = 80 ÷ 2 = 40
Fourth option:
(54, 55, 27)→(54 + 27) ÷ 2 = 81 ÷2 = 40.5 ≠ 55
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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