In the question there are two wrong number series given

Q. In the question there are two wrong number series given. You are expected to solve them and answer the questions accordingly.Series 1. 24, 43, 58, 89, 108, 165Series 2. 13, 14, 18, 32, 132, 732

I.  HCF of the wrong number in series I and in series II is 4

II.   Difference between correct numbers replacing wrong number in two series is exactly divisible by 11

III.  Unit digit of (correct number replacing wrong number in series 2)666 is 6 [1.5 Mark]

A.I onlyB.III onlyC.II onlyD.I, II, and III

E. None of these

Ans: I, II, and III

Sol:

Series 1.
24 + (17 + 2) = 43
43 + (19 – 4) = 58
58 + (23 + 8) = 89
89 + (29 – 16) = 102
102 + (31 + 32) = 165
Wrong number = 108
Series 2.
13 + 1! X 1 = 14
14 + 2! X 2 = 18
18 + 3! x 3 = 36
36 + 4! x 4 = 132
132 + 5! X 5 = 732

Wrong number = 32
I. HCF of wrong number inn series I and in series
II is 4.
108 = 3_³ x 2²
32 = 2⁵
Required HCF = 4
II. Difference between correct numbers replacing
wrong number in two series is exactly divisible by
11
(102 – 36) = 66
66 = 11 x 6
III. Unit digit of (correct number replacing wrong
number in series 2)⁶⁶⁶ is 6
36⁶⁶⁶ have unit digit 6
All statements are true
Hence answer is option D