Select the set 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 their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(41, 34, 24)
(63, 80, 23)
To find the correct set, we must first identify the mathematical relationship between the numbers in the given sets: (41, 34, 24) and (63, 80, 23).
Analyzing the Given Sets
Let the numbers in the set be represented as $(a, b, c)$.
Set 1: (41, 34, 24)
The difference between the first and third numbers: $41 - 24 = 17$
Multiply the difference by 2: $17 \times 2 = 34$
This gives us the middle number: $b = 34$
Set 2: (63, 80, 23)
The difference between the first and third numbers: $63 - 23 = 40$
Multiply the difference by 2: $40 \times 2 = 80$
This gives us the middle number: $b = 80$
Logic Identified:
The relationship is: $(First\ Number - Third\ Number) \times 2 = Second\ Number$
Evaluating the Options
(46, 86, 24)
$46 - 24 = 22$
$22 \times 2 = 44$ (Does not match 86)
(43, 40, 23)
$43 - 23 = 20$
$20 \times 2 = 40$ (Matches the middle number!)
(17, 14, 11)
$17 - 11 = 6$
$6 \times 2 = 12$ (Does not match 14)
(17, 2, 19)
$17 - 19 = -2$
$-2 \times 2 = -4$ (Does not match 2)
The set that follows the same logic is (43, 40, 23).
Important Questions from Analogy
Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
16 : 144 :: 28 : ?
Select the set 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 / 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)
(42, 18, 3)
(36, 14, 4)
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABILITY : LIBAYTI : : CHRONIC : ORHCCIN : : HEAVILY : ?
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(4, 50, 6)
(13, 128, 3)
