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)
Answer & explanation
Correct answer: option 1
(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