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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:36::15:Y
X = 9, Y = 42
X = 9, Y = 60
X = 12, Y = 50
X = 12, Y = 60
X = 9, Y = 60
Identify the relationship: X * 4 = 36 implies X=9. Then apply the same multiplier to 15: 15 * 4 = 60. Thus, Y=60.
Identify the relationship: X * 4 = 36 implies X=9. Then apply the same multiplier to 15: 15 * 4 = 60. Thus, Y=60.
Analyze the given pair
The given pair is X : 36. Since we need to determine the rule, we look for a multiplier. If 36 is 4 times X, then X = 36 / 4 = 9.
Apply the rule to the second pair
The second pair is 15 : Y. Applying the same multiplier (├Ч4) to 15, we get 15 ├Ч 4 = 60. Therefore, Y = 60.
A: Incorrect as X=9 is correct but Y=42 is wrong; C: Incorrect as X=12 is wrong; D: Incorrect as X=12 is wrong.
B is correct because the mathematical relationship between the numbers is a constant multiplier of 4, where X=36/4=9 and Y=15*4=60.
In number analogy questions, always check for common multipliers (├Ч2, ├Ч3, ├Ч4) or squares/cubes first, as they are the most frequent patterns in SSC exams.
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