UKPSC PCS 2012 · Question 49 of 78

There is given below a question followed by two statements : x Question : x and y are two numbers, what is y ? 5 Statement 1 (S1) : Their average is 2 times y. Statement 2 (S2) : Their difference is 3. Which one of the following is correct in order that specific answer to the question is obtained ?

Reasoning

ABoth the statements S1 and S2 are not sufficient to answer the question.Correct
BS1 alone is sufficient to answer the question.
CS2 alone is sufficient to answer the question.
DEither S1 alone or S2 alone is sufficient to answer the question.

Answer: A. Both the statements S1 and S2 are not sufficient to answer the question.

S1 gives x = 3y and S2 gives |x-y| = 3, so y = 1.5 or y = -1.5: not uniquely determined even together.

Source: UKPSC 2012 Prelims CSAT Paper-II (adda247/studyfry PDF), exam held 30 Nov 2014

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UKPSC PCS 2012 · Question 49 of 78

Reasoning

ABoth the statements S1 and S2 are not sufficient to answer the question.Correct
BS1 alone is sufficient to answer the question.
CS2 alone is sufficient to answer the question.
DEither S1 alone or S2 alone is sufficient to answer the question.

S1 gives x = 3y and S2 gives |x-y| = 3, so y = 1.5 or y = -1.5: not uniquely determined even together.

Source: UKPSC 2012 Prelims CSAT Paper-II (adda247/studyfry PDF), exam held 30 Nov 2014

Practice the full UKPSC PCS 2012 paper

Timed test with all 78 questions, just like the real exam.