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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:96::53:Y
X = 58, Y = 112
X = 49, Y = 118
X = 52, Y = 104
X = 47, Y = 108
X = 47, Y = 108
Look for the relationship where the second number is (Number + 1) multiplied by 2, or check if the relation is (X + 1) * 2 = Y.
Look for the relationship where the second number is (Number + 1) multiplied by 2, or check if the relation is (X + 1) * 2 = Y.
Analyze the given pair
The right side pair is 53: Y. Observing the numbers 53 and Y, the pattern is: (53 + 1) * 2 = 54 * 2 = 108. So, Y = 108.
Apply pattern to find X
The left side pair is X: 96. Applying the same logic: (X + 1) * 2 = 96. Dividing by 2 gives X + 1 = 48. Thus, X = 48 - 1 = 47.
A: X=58 and Y=112 do not follow the (n+1)*2 pattern. B: X=49 and Y=118 do not follow the (n+1)2 pattern. C: X=52 and Y=104 follow a different pattern (X2=Y) which does not match the (n+1)*2 logic applied here.
D is correct because following the mathematical pattern (First Number + 1) * 2 = Second Number, we get X=47 (47+1)*2=96 and Y=108 (53+1)*2=108.
In number analogy questions, always test simple operations like (+1)*2, (*2)+1, or square/cube related patterns if the numbers look close to standard squares.
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