Given below are three series I, II & III, each containing one incorrect number. Let the correct numbers that should replace the wrong numbers in s...

Question

Given below are three series I, II & III, each containing one incorrect number. Let the correct numbers that should replace the wrong numbers in series I, II & III be a, b, and c respectively.

I. 5, 6, 8, 14, 38, 168, 878, 5918
II. 32, 544, 593, 809, 832, 898, 907
III. 18, 38, 124, 500, 2504, 15028, 105200

If m2=a+98m^2 = \sqrt{a + 98}, then which of the following statements is or are true?

(A) (bm+0.5)\left( \frac{b}{m} + 0.5 \right) is an integer.

(B) 10m=c10m = c

(C) m+(b42)18cm + \frac{(b-42)}{18} \geq c

Options

A.

Only (A) and (C)

B.

Only (B) and (C)

C.

Only (A) and (B)

D.

All three

E.

Only (C)

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