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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 = 18, Y = 96
X = 12, Y = 132
X = 18, Y = 132
X = 12, Y = 110
X = 12, Y = 132
The relationship is X multiplied by 6 equals the second number. So, find X such that X * 6 = 72, then use 22 * 6 = Y.
The relationship is X multiplied by 6 equals the second number. So, find X such that X * 6 = 72, then use 22 * 6 = Y.
Analyze the Left Pair (X : 72)
We are given X: 72. By dividing 72 by 6, we get 12. This suggests the pattern is (First Number) * 6 = (Second Number).
Apply the Pattern to the Right Pair (22 : Y)
Using the same logic, we multiply the first number of the second pair (22) by 6. Calculation: 22 * 6 = 132. Therefore, Y = 132.
A: 18 and 96 do not satisfy the 6 rule (186=108, not 96). C: 18 and 132 do not satisfy the rule because 186=108. D: 12 and 110 do not satisfy the rule because 126=72 (correct for X) but 22*6 is not 110.
B is correct because the pattern follows multiplication by 6, where 12 * 6 = 72 and 22 * 6 = 132.
In number analogy questions, always check simple arithmetic operations (+, -, *, /) first. If the number is large, check for squares or cubes as well.
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