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are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:
A. Statement I alone is sufficient to answer the question.
B. Statement II alone is sufficient to answer the question.
C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.
D. Either Statement I or Statement II alone is sufficient to answer the question.
E. Neither Statement I nor Statement II is necessary to answer the question.
Given below is an equation where the letters represent digits.
(PQ). (RQ) = XXX. Determine the sum of P + Q + R+ X.
I. X = 9.
II. The digits are unique.
Given relationship is $$(PQ)(RQ) = XXX$$
Since, X can take nine values from 1 to 9, thus we have 9 possibilities.
$$111 = 3 \times 37$$ $$666 = 18 \times 37$$
$$222 = 6 \times 37$$ $$777 = 21 \times 37$$
$$333 = 9 \times 37$$ $$888 = 24 \times 37$$
$$444 = 12 \times 37$$ $$999 = 27 \times 37$$
$$555 = 15 \times 37$$
But, out of these 9 cases, only in 999, we get the unit's digit of the two numbers same. Since it is a unique value,
Thus, we need neither statement I nor II to answer the question.
