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.)
(83, 119, 168)
(76, 101, 137)
Option 1: (84, 100, 149)
Option 2: (78, 87, 103)
Option 3: (42, 46, 62)
Option 4: (36, 52, 88)
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Correct Answer: (78, 87, 103)
Solution :
Given:
(83, 119, 168); (76, 101, 137)
The difference between the first and second numbers and the second and third numbers are the squares of consecutive natural numbers –
(83, 119, 168)→119 – 83 = 36 = 6
2
; 168 – 119 = 49 = 7
2
(76, 101, 137)→101 – 76 = 25 = 5
2
; 137 – 101 = 36 = 6
2
Let's check the options –
First option:
(84, 100, 149)→100 – 84 = 16 = 4
2
; 149 – 100 = 49 = 7
2
Second option:
(78, 87, 103)→87 – 78 = 9 = 3
2
; 103 – 87 = 16 = 4
2
Third option:
(42, 46, 62)→46 – 42 = 4 = 2
2
; 62 – 46 = 16 = 4
2
Fourth option:
(36, 52, 88)→52 – 36 = 16 = 4
2
; 88 – 52 = 36 = 6
2
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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