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In the following number-pairs, the second number is obtained by performing certain mathematical operations on the first number. Which numbers should r
Question

In the following number-pairs, the second number is obtained by performing certain mathematical operations on the first number. Which numbers should replace and 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 : 289 :: 23 : Y

A.

X = 17, Y = 441

B.

X = 25,Y = 196

C.

X = 22, Y = 25

D.

X = 27, Y = 169

Correct option is D

Information Given:
X : 289 :: 23 : Y
Logic: Second number = (First number − 10)²
Explanation:
289 = (17)²
So, X − 10 = 17
X = 27
Now apply same to 23:
Y = (23 − 10)²
= 13²
= 169
Thus, X = 27 and Y = 169
Final Answer:
X = 27, Y = 169
Final Correct Option:
(D)

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