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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 same as that on the right side of::? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ Operations on 13 such as adding/subtracting/multiplying 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: 130:: 34: Y
X=26, Y=170
X=24, Y=160
X=29, Y=185
X=28, Y=190
X=26, Y=170
Look for a constant multiplier relationship between the numbers, specifically testing if the transformation follows X * 5 = Y.
Look for a constant multiplier relationship between the numbers, specifically testing if the transformation follows X * 5 = Y.
Analyze the given pair
We are given 34: Y. Since 130 is 26 * 5, we test if the pattern is 'First number * 5 = Second number'.
Verify the pattern with X: 130
If X * 5 = 130, then X = 130 / 5 = 26. This matches Option A.
Verify the pattern with 34: Y
Applying the same pattern (First number * 5 = Second number), 34 * 5 = 170. Therefore, Y = 170.
B: 245 is 120 not 130, and 345 is 170 not 160; C: 295 is 145 not 130, and 345 is 170 not 185; D: 285 is 140 not 130, and 345 is 170 not 190.
A is correct because the logic follows a multiplication by 5 for both pairs, where 26 multiplied by 5 equals 130 and 34 multiplied by 5 equals 170.
In number analogy questions, always check for prime factors or simple multiplication/addition constants before searching for complex square or cube patterns.
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