Xavier Aptitude Test 2011 Paper

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DIRECTIONS (Qs. 52 and 53) : Given questions 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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Question : 53 of 101

Marks: +1, -0

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.

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, butneither of the two alone is sufficient to answer the question.
Either Statement I or Statement II alone is sufficient to answerthe question.
Neither Statement I nor Statement II is necessary to answerthe question.

Solution:

(e) (PQ) (RQ) = XXX (given)
Number of the form XXX are given below
111 = 3 × 37
222 = 6 × 37
.
.

. \ PQ\ RQ

444 = 12 × 37 but Q = R
.
.
.
999 = 27 × 37
Thus, we see that only in 999 unit’s digit of the two numbers are same.
The equation given itself is enough to solve the question and we do not need either of the statements to answer

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