The number k is a three-digit positive integer that has A as its hundr

S1 - it's a 3 digit number and C(A=3C) can't be greater than 1 and 0 is not applicable, we get only one result as number ABC = 931. -- Sufficient.

S2 - from this statement, we get multiple results. for e.g. 391, 142 ---Not Sufficient

Hence Answer Option A

Statement 1, for A = 3B = 9C , only 931 fulfills the criteria. SUFFICIENT.

Statement 2, 1/2 = 2/4, or 2/4 = 4/8, or 1/3 = 3/9. NOT SUFFICIENT.

IMO A is the OA.

Step 1: Analyse Question Stem

The number k is a three-digit positive integer, that has A as hundreds’ digit, B as tens’ digit and C as units’ digit. Therefore, k can be expressed as ABC.

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1: A = 3B = 9C

Since A, B and C represent the individual digits of a number, the only set of values that satisfy the above equation is A = 9, B = 3 and C = 1.
Therefore, k = 931 and hence 2k = 1962.

The data in statement 1 is sufficient to find a unique value for 2k.
Statement 1 alone is sufficient. Answer options B, C and E can be eliminated.

Statement 2: \(\frac{A}{B}\) = \(\frac{B}{C}\)

This means that A, B and C are in continued proportion, which does not tell us the exact values of A, B and C.
Without knowing the exact values of the digits, a unique value of k and hence that of 2k cannot be calculated.

The data in statement 2 is insufficient to find a unique value for 2k.
Statement 2 alone is insufficient. Answer option D can be eliminated.

The correct answer option is A.