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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:793::679:Y
X=974,Y=498
X=848,Y=519
X=886,Y=443
X=923,Y=481
X=974,Y=498
Look at the mathematical relationship between the first and second numbers in the pair. Here, the pattern is multiplying the first number by 3 and subtracting 1 (or similar arithmetic operations). Let us analyze the exact transformation rule: First Number ├Ч 3 - 52 = Second Number, or more simply, check the ratio or difference between terms.
Look at the mathematical relationship between the first and second numbers in the pair. Here, the pattern is multiplying the first number by 3 and subtracting 1 (or similar arithmetic operations). Let us analyze the exact transformation rule: First Number ├Ч 3 - 52 = Second Number, or more simply, check the ratio or difference between terms.
Step 1: Understand the Analogy Format
The problem presents a number analogy in the form X : 793 :: 679 : Y. This means the mathematical relationship between the first pair (X and 793) is identical to the relationship between the second pair (679 and Y).
Step 2: Test Option A (X = 974, Y = 498)
Let us check the difference between the numbers in each pair. For the second pair: 679 - 498 = 181. For the first pair using X = 974: 974 - 793 = 181. Both pairs show an exact difference of 181, confirming the valid pattern.
Step 3: Verify the Correct Option
Since the constant difference of 181 holds true for X = 974 and Y = 498 (974 - 793 = 181 and 679 - 498 = 181), Option A is the verified correct answer.
B: X = 848, Y = 519 yields differing differences (848 - 793 = 55 vs 679 - 519 = 160). C: X = 886, Y = 443 gives 93 vs 236. D: X = 923, Y = 481 gives 130 vs 198.
A is correct because the difference between the two numbers in each pair is consistently 181 (974 - 793 = 181 and 679 - 498 = 181).
In number analogy questions, always test simple arithmetic relationships like constant difference, sum of digits, or multiples before moving to complex powers.
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