Select the option in which the numbers share the same relationship in set as that shared by the numbers in the given 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)
(15, 13, 56)
(17, 11, 168)
Answer & explanation
Correct answer: option 3
(15, 13, 56)
(17, 11, 168)
THE LOGIC FOLLOWED HERE IS :
( FIRST NUMBER + IIND NUMBER ) × (FIRST NUMBER - IIND NUMNER ) = IIIRD NUMBER
AS
( 15 + 13 ) × (15 -13) = IIIRD NUMBER
28 × 2 = 56
AND
( 17 + 11 ) × (17 -11) = IIIRD NUMBER
28 × 6 = 168
SIMILARLY
(20, 14, 204)
( 20 + 14 ) × (20 -14) = IIIRD NUMBER
34 × 6 = 204