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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: 40:: 60: Y
X=32, Y=70
X=36, Y=68
X=32, Y=75
X=30, Y=75
X=32, Y=75
Look for a constant multiplier: divide 60 by X to see if the ratio matches the ratio of the corresponding target numbers.
Look for a constant multiplier: divide 60 by X to see if the ratio matches the ratio of the corresponding target numbers.
Analyze the relationship between numbers
The relationship is defined as (First Number * 1.25) = Second Number. Testing the pairs: 40 divided by 1.25 = 32. Thus X=32. Similarly, for the second pair: 60 * 1.25 = 75. Thus Y=75.
Verify against the provided values
For X: 32 * 1.25 = 32 + (32/4) = 32 + 8 = 40. This matches the target 40. For Y: 60 * 1.25 = 60 + (60/4) = 60 + 15 = 75. This matches the result 75.
A: 321.25 is 40, but 601.25 is not 70. B: 361.25 is not 40. D: 301.25 is not 40.
C is correct because the mathematical ratio between the first and second numbers in both pairs is 1:1.25 (or multiplying the first number by 1.25 results in the second number).
In number analogy questions, if the numbers are close, check for addition/subtraction differences first; if they scale, check for simple multiplication or division factors.
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