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.)
(182, 170, 97)
(156, 128, 92)
Option 1: (156, 194, 79)
Option 2: (121, 102, 61)
Option 3: (98, 74, 54)
Option 4: (138, 130, 73)
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Correct Answer: (138, 130, 73)
Solution :
Given:
(182, 170, 97); (156, 128, 92)
Subtract the third number from the first number and multiply the resultant by 2 to obtain the second number.
(182, 170, 97)→182 – 97 = 85; 85 × 2 = 170
(156, 128, 92)→156 – 92 = 64; 64 × 2 = 128
Let's check each option –
First option:
(156, 194, 79)→156 – 79 = 77; 77 × 2 = 154 ≠ 194
Second option:
(121, 102, 61)→121 – 61 = 60; 60 × 2 = 120 ≠ 102
Third option:
(98, 74, 54)→98 – 54 = 44; 44 × 2 = 88 ≠ 74
Fourth option:
(138, 130, 73)→138 – 73 = 65; 65 × 2 = 130
So, only the fourth option follows the pattern followed by the set given in the question. Hence, the fourth option is correct.
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