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Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the
Question

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (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.)
(2, 3, 36)
(1, 7, 49)

A.

(4, 4, 252)

B.

(3, 5, 225)

C.

(5, 4, 260)

D.

(1, 9, 59)

Correct option is B

Logic: Square of 1st × Square of 2nd = 3rd Number.
(2,3,36)=(22×32=36)  (1,7,49)=(12×72=49)(2,3,36) = (2^2×3^2= 36) \ \ \\(1,7,49) = (1^2× 7^2 = 49)​​
Now Similarly ,
(4,4,252)=(42×42=256) (3,5,225)=(32×52=225) (5,4,260)=(52×42=400) (1,9,59)=(12×92=162)(4,4,252)= (4^2 × 4^2= 256) \\ \ \\(3,5,225)= (3^2 ×5^2= 225) \\ \ \\(5,4,260) = (5^2× 4^2= 400) \\ \ \\(1,9,59) = (1^2× 9^2= 162)​​
Hence
(3,5,225)=(32×52=225)(3,5,225)= (3^2 ×5^2= 225)
Correct answer is (b)​​

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