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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 тАУ 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 = 923, Y = 738
X = 894, Y = 711
X = 944, Y = 742
X = 876, Y = 724
X = 894, Y = 711
Look for operations involving the sum of digits or arithmetic relationships between digits and the number itself across the given pairs.
Look for operations involving the sum of digits or arithmetic relationships between digits and the number itself across the given pairs.
Analyze the Given Analogy Pair
Examine the relationship between the numbers on the left and right sides of the colon and double colon in the given expression X : 649 :: 956 : Y.
Evaluate Option B Values
Substitute X = 894 and Y = 711 into the expression to check the arithmetic difference or transformation rule between the first and second numbers in both pairs.
Confirm Mathematical Consistency
The difference between 894 and 711 follows the exact same mathematical pattern observed in standard number analogy sets of this RRB examination shift.
A: Does not satisfy the established difference pattern. C: Yields an inconsistent numerical offset. D: Fails to match the specific arithmetic rule required for this analogy.
B is correct because substituting X = 894 and Y = 711 correctly satisfies the established number analogy pattern.
In number analogy questions without digit breaking, always check the difference or sum relationship between the pairs first before attempting complex multiplicative operations.