If the correct number of the series (i), (ii), and (iii) are represented as (X, Y, and Z) respectively, then which of the following equations is/are  correct?

I. (X - Z) + 5 = Y - 15² + 2

II. (25² - Y) = (X + Z) - 785

III. Z + 300 - (X + Y) = 940

Series I: 590, 615, 651, 711, 795, 927

Logic used:

591 + (12 x 2) = 615

615 + (12 x 3) = 651

651 + (12 x 5) = 711

711 + (12 x 7) = 795

795 + (12 x 11) = 927

The wrong number in the series is (590).

Series II: 64, 164, 285, 510, 546, 770

Logic used:

64 + (6 + 4)2 = 164

164 + (1 + 6 + 4)2 = 285

285 + (2 + 8 + 5)2 = 510

510 + (5 + 1 + 0)2  = 546

546 + (5 + 4 + 6)2 = 771

The wrong number in the series is (770).

Series III: 18, 25.5, 40.5, 63, 93, 131

18 + 7.5 = 25.5

25.5 + 15 = 40.5

40.5 + 22.5 = 63

63 + 30 = 93

93 + 37.5 = 130.5

The wrong number in the series is (131).

Value of X, Y, and Z are 591, 771, and 130.5 respectively.

In equation (I):(X - Z) + 5 = Y - 152 + 2

⇒ (591 - 130.5) + 5 = 771 - 225 + 2

⇒ 460.5 + 5 = 548

⇒ 465.5 ≠ 548

So, equation (I) is not correct.

In equation (II):(252 - Y) = (X + Z) - 785

⇒ (625 - 771) = (591 + 130.5) - 785

⇒ - 146 ≠  - 63.5

So, equation (II) is not correct.

In equation (III): Z + 300 - (X + Y) = 940

⇒ 130.5 + 300 - (591 + 771)  = 940

⇒ 430.5 - 1362  = 940

⇒ - 931.5 ≠  940

So, equation (III) is not correct.

Hence, the correct answer is none of the above.