(i) The factors of 35 are 1, 5, 7 and 35. So, 35 is an element of the set. Hence, statement is true.
(ii) The factors of 128 hre 1,2,4, 8, 16, 32, 64 and 128.
Sum of factors = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255 * 2 x 128 Hence, statement is false.
(iii) We have, x4 – 5x3 + 2x2 – 112x + 6 = 0 Forx = 3, we have
(3)4 – 5(3)3 + 2(3)2 – 112(3) + 6 = 0
=> 81 – 135 + 18-336 + 6 = 0
=> -346 = 0, which is not true.
So 3 is not an element of the set
Hence, statement is true
iv) 496 = 24 x 31
So, the factors of 496 are 1, 2, 4, 8, 16, 31, 62,124, 248 and 496.
Sum of factors = 1 +2 + 4 + 8+ 16 + 31 + 62 + 124 + 248 + 496 = 992 = 2(496)
So, 496 is the element of the set Hence, statement is false