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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is same as that on the right side of ::? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ 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.) X : 16.2 :: 23 : Y
X=19, Y=22.2
X=17, Y=22.2
X=19, Y=21.2
X=17, Y=21.2
X=17, Y=22.2
Observe the constant difference: 16.2 - (Value of X) and Y - 23. Test the options to see which pair maintains a consistent arithmetic relationship relative to the given values.
Observe the constant difference: 16.2 - (Value of X) and Y - 23. Test the options to see which pair maintains a consistent arithmetic relationship relative to the given values.
Analyze the pattern
The relationship follows the pattern (First number - 0.8) = Second number. For the pair 23 : Y, applying 23 - 0.8 gives 22.2.
Evaluate X
To satisfy X : 16.2, we set X - 0.8 = 16.2, which leads to X = 16.2 + 0.8 = 17.
Verification
With X=17, 17 - 0.8 = 16.2. With Y=22.2, 23 - 0.8 = 22.2. Both sides follow the operation (Input - 0.8).
A: X=19 results in 19-0.8=18.2 not 16.2. C: Y=21.2 is incorrect because 23-1.8=21.2 which does not match the constant operation used for X. D: X=17 is correct but Y=21.2 is mathematically inconsistent with the operation.
B is correct because the consistent operation applied to both numbers is subtracting 0.8 from the first number (17-0.8 = 16.2 and 23-0.8 = 22.2).
When dealing with decimals in analogies, always check for a simple constant difference or a fixed multiplier before looking for complex operations.
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