Select the option in which the numbers are related in the same way as are the numbers of the following sets.
NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/deleting /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)
(7, 1, 3)
(12, 2, 5)
In each set, the difference between the first and second numbers is divided by 2 to obtain the third number.
(7, 1, 3) ==> Third number =Â $$\frac{\left(7-1\right)}{2}$$Â = $$\frac{\left(6\right)}{2}$$ = 3
(12, 2, 5) ==>Â Third number = $$\frac{\left(12-2\right)}{2}$$ = $$\frac{\left(10\right)}{2}$$ = 5
Option (a)Â (30, 8, 11)
Third number = $$\frac{\left(30-8\right)}{2}$$ = $$\frac{\left(22\right)}{2}$$ = 11
The above given logic is applicable in this option. So this is the correct answer.
Option (b)Â (26, 4, 20)
Third number = $$\frac{\left(26-4\right)}{2}$$ = $$\frac{\left(22\right)}{2}$$ = 11
The above given logic is not applicable in this option. So this is not the correct answer.
Option (c)Â (32, 6, 18)
Third number = $$\frac{\left(32-6\right)}{2}$$ = $$\frac{\left(26\right)}{2}$$ = 13
The above given logic is not applicable in this option. So this is not the correct answer.
Option (d)Â (40, 10, 30)
Third number = $$\frac{\left(40-10\right)}{2}$$ = $$\frac{\left(30\right)}{2}$$Â = 15
The above given logic is not applicable in this option. So this is not the correct answer.
Hence option (a) is the correct answer.
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