Select the option in which the numbers shares the same relationship in set as that shared by the numbers in the given set. (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)

(14, 17, 970)

(15, 23, 1508)

(17, 24, 1730)

(14, 17, 970)

(15, 23, 1508)

THE LOGIC FOLLOWED HERE IS :

( IST NUMBER² + IIND NUMBER²) × 2 = IIIRD NUMBER

AS

(14, 17, 970)

= (14² +17²) × 2 = IIIRD NUMBER

= (196 + 289 ) × 2

= 485 × 2

= 970

AND

(15, 23, 1508)

( 15² +23²) × 2 = IIIRD NUMBER

= (225 + 529 ) × 2

= 754 × 2

= 1508

SIMILARLY

(17, 24, 1730)

( 17² +24²) × 2 = IIIRD NUMBER

= (289 + 576) × 2

= 865 × 2

= 1730