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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 = 593, Y = 941
X = 542, Y = 1007
X = 604, Y = 1018
X = 518, Y = 984
X = 542, Y = 1007
Look for a mathematical relationship between the first and second numbers in the given pair, such as adding the digits, multiplying digits, or operating on the whole number directly.
Look for a mathematical relationship between the first and second numbers in the given pair, such as adding the digits, multiplying digits, or operating on the whole number directly.
Step 1: Understand the Analogy Format
We are given the proportion X : 826 :: 723 : Y. The rule applied to transform the first number to the second number on the left side must be identical to the rule applied on the right side.
Step 2: Test Option B Values (X = 542, Y = 1007)
Substitute X = 542 and Y = 1007 into the expression. Check the mathematical relation between 542 and 826, and between 723 and 1007 to confirm consistency.
Step 3: Final Verification
Both pairs satisfy the consistent mathematical operation, establishing Option B as the correct answer.
A: X=593 and Y=941 do not satisfy the exact mathematical pattern required by the given analogy. C: X=604 and Y=1018 result in inconsistent arithmetic transformation. D: X=518 and Y=984 fail to match the uniform operation ratio.
B is correct because substituting X = 542 and Y = 1007 satisfies the exact mathematical pattern connecting the number pairs on both sides of the proportion.
Always test multiple plausible arithmetic operations (addition, difference, digit sums) when dealing with number analogies in RRB and SSC examinations.
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