Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
84 : 72
Option 1: 77 : 64
Option 2: 64 : 56
Option 3: 68 : 54
Option 4: 76 : 62
Correct Answer: 68 : 54
Solution :
Given:
84 : 72
Subtract the sum of the digits of the first number from the first number to obtain the second number in the given set of numbers –
84 : 72→84 – (8 + 4) = 84 – 12 = 72
Let's check the options –
First option:
77 : 64→77 – (7 + 7) = 77 – 14 = 63 ≠ 64
Second option:
64 : 56→64 – (6 + 4) = 64 – 10 = 54 ≠ 56
Third option:
68 : 54→68 – (6 + 8) = 68 – 14 = 54
Fourth option:
76 : 62→76 – (7 + 6) = 76 – 13 = 63 ≠ 62
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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