Direction: 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:
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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. [3]
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- Statement I alone is sufficient to answer the question.
- Statement II alone is sufficient to answer the question.
- Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.
- Either Statement I or Statement I alone is sufficient to answer the question.
- Neither Statement I nor Statement 11 is necessary to answer the question.
- Statement I alone is sufficient to answer the question.
Correct Option: E
Given relationship is (PQ)(RQ) = XXX
Since X can take 9 values from 1 to 9 hence we have 9 possibilities
111 = 3 x 37 444 = 12 x 37 777 = 21 x 37
222 = 6 x 37 555 = 15 x 37 888 = 24 x 37
333 = 9 x 37 666 = 18 x 18 999 = 27 x 37
But out of these 9 cases only in 999, we get the unit's digit of two numbers the same. Since it is a unique value, hence we need neither statement I nor statement II to answer the question.
