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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:116::16:Y
X = 13, Y = 145
X = 11, Y = 143
X = 13, Y = 143
X = 13, Y = 144
X = 13, Y = 143
Identify the relation between the second pair (16:Y) first. 16 ├Ч 9 = 144, which is a common square-adjacent pattern (16 ├Ч 9 = 144, or 13 ├Ч 11 = 143). Look for pairs (n, n*(n-2)) or similar.
Identify the relation between the second pair (16:Y) first. 16 ├Ч 9 = 144, which is a common square-adjacent pattern (16 ├Ч 9 = 144, or 13 ├Ч 11 = 143). Look for pairs (n, n*(n-2)) or similar.
Analyze the Right Side (16:Y)
The right side is 16:Y. Examining the options, Y is consistently 143, 144, or 145. A very strong pattern in competitive exams for 16 is 16 * 9 = 144.
Analyze the Left Side (X:116)
We need X such that it follows a consistent logic. Testing X=13 with Y=143, we observe: 13 * 11 = 143. The pair (13, 143) follows the pattern of multiplying a number by a value related to its own digits or sequence. Option C provides X=13 and Y=143.
A: X=13, Y=145 does not match the established product pattern. B: X=11, Y=143 does not yield a consistent logical operation for the 16 side. D: X=13, Y=144 lacks the uniform multiplier logic compared to 13*11=143.
C is correct because the relationship between the numbers is a multiplication pattern (13 * 11 = 143) which maintains consistency in the analogy.
In number analogy questions, if simple addition/subtraction fails, always check for products (multiples) or square/cube proximity.
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