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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 the same as that on the right side of ::? (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.) X:30::12:Y
X=9,Y=36
X=10,Y=42
X=10,Y=39
X=9,Y=39
X=9,Y=39
The relationship is (First Number ├Ч 3) + 3 = Second Number, OR (First Number + 1) ├Ч 3 = Second Number.
The relationship is (First Number ├Ч 3) + 3 = Second Number, OR (First Number + 1) ├Ч 3 = Second Number.
Analyze the Left Pair (X : 30)
The pattern follows the rule: (First Number + 1) * 3 = Second Number. For X: 30, we have (X + 1) * 3 = 30, which simplifies to X + 1 = 10, so X = 9.
Apply Pattern to Right Pair (12 : Y)
Applying the same logic: (12 + 1) * 3 = Y. Calculating this gives 13 * 3 = 39. Thus, Y = 39.
A: X=9 is correct but Y=36 is wrong. B: X=10 is wrong. C: Y=39 is correct but X=10 is wrong.
D is correct because the mathematical relationship derived from the left side (X+1)*3=SecondNumber results in X=9 and Y=39.
In analogy questions, always check for additive/multiplicative patterns first; if the numbers look like multiples of 3, check the (n+1) or (n-1) offset logic!
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