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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:192::34:Y
X = 45, Y = 136
X = 48, Y = 128
X = 52, Y = 102
X = 59, Y = 117
X = 59, Y = 117
Look at the cube or square relationship between the numbers. Here, the pattern is cube minus square or a related algebraic identity.
Look at the cube or square relationship between the numbers. Here, the pattern is cube minus square or a related algebraic identity.
Step 1: Identify the relationship in the right-side pair
On the right side, we are given 34 : Y. Testing common multiplicative relationships: 34 multiplied by 4 gives 136 (Option B).
Step 2: Apply the same relationship to the left-side pair
We need X : 192 where the second number is 192. Dividing 192 by 4 gives 48. Thus, X = 48.
Step 3: Verify with Option B
X = 48 and Y = 136 satisfies the uniform multiplier pattern (First Number x 4 = Second Number).
A: X=45, Y=136 does not fit the left multiplier; C: X=52, Y=102 does not match ratio; D: X=59, Y=117 is incorrect.
B is correct because both pairs follow the exact mathematical multiplier rule where the second number is four times the first number (48 x 4 = 192 and 34 x 4 = 136).
Always test simple arithmetic multipliers (multiply or divide by a constant) before testing complex cube or square series in number analogies.
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