Question : Directions: Select the set in which the numbers are related in the same way as 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.)
(47, 108, 169)
(22, 83, 144)
Option 1: (11, 73, 133)
Option 2: (51, 112, 173)
Option 3: (33, 121, 181)
Option 4: (8, 64, 130)
Correct Answer: (51, 112, 173)
Solution :
Given:
(47, 108, 169); (22, 83, 144)
In the given sets, the difference between the second and first numbers and the difference between the third and the second numbers are the same.
(47, 108, 169)→108 – 47 = 61; 169 – 108 = 61
(22, 83, 144)→83 – 22 = 61; 144 – 83 = 61
Let's check the options –
First option:
(11, 73, 133)→73 – 11 = 62; 133 – 73 = 60 ≠ 62
Second option:
(51, 112, 173)→112 – 51 = 61; 173 – 112 = 61
Third option:
(33, 121, 181)→121 – 33 = 88; 181 – 121 = 60 ≠ 88
Fourth option:
(8, 64, 130)→64 – 8 = 56; 130 – 64 = 66 ≠ 56
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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