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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:23::476:Y
X = 322, Y = 34
X = 368, Y = 27
X = 346, Y = 29
X = 314, Y = 21
X = 322, Y = 34
Finding Unknowns X and Y in the Number Proportion X : 23 :: 476 : Y
Test Options for Constant Ratio Multiplier
Checking Option A where X=322 and Y=34: Left Ratio=23X=23322=14Right Ratio=Y476=34476=14
Both pairs share the identical ratio factor of 14
Verify Other Options
• Option B (X=368,Y=27): 368/23=16, while 476/27=17.63 (mismatched). • Option C (X=346,Y=29): 346/23=15.04 (mismatched).
OnlyOptionAsatisfies whole−number proportional operation
Option A is correct — X = 322, Y = 34
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