In each of the following questions, choose similar number/numbers to the numbers in the given set.
Given Set :524, 257, 863, 635, 299, 466

Options

A. 523
B. 444
C. 723
D. 785

Answer

D

Explanation

All the numbers in the given set follows pattern : Middle digit = Sum of the digits of the product of other two digits . i.e.,
`{:(ul(5) xx ul(4) = ul (20) rArr 2 + 0 = ul (2)" ", ul(2) xx ul(7)= ul(14)rArr 1 + 4 = ul (5)":"),(" Middle digit Middle digit "):}`
` ul(8) xx ul(3) = ul(24) rArr 2 + 4 = 6 , ul(6) xx ul(5) = ul(30) rarr 3 + 0 = ul(3)` ,
`ul(2) xx ul(9) = ul(18) rArr 1 + 8 = ul(9) , ul(4) xx ul(6) = ul(24) rArr 2 + 4 = ul(6)`
Similarly, `ul(7) xx ul(5) = ul(35) rArr 3 + 5 = ul(8)` (Middle digit )
Therefore, .785. belongs tot he given set .