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Select the pair which is related to each other in the same way as the following 13:6766:144 (NOTE: Operations should be performed on the whole numbers
Question

Select the pair which is related to each other in the same way as the following
13:676
6:144
(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.)​​

A.

8:256

B.

4:192

C.

6:288

D.

15:225

Correct option is A

Given: 
13:676
6:144
Logic; Multiply by 2, then square the result.
For 13:676:
13 × 2 = 26, then 26² = 676.
For 6:144:
6 × 2 = 12, then 12² = 144.
Now, check the options:
A) 8:256
8 × 2 = 16, then 16² = 256.
Thus, correct option is (a)

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