Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
(a) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
(b) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
(c) if the data in either of the statements alone is sufficient to answer the question
(d) if the data in both statements I and II together is not sufficient to answer the question
(e) if the data in both statements I and II together is necessary to answer the question
Question for 12 Minute Test: Data Sufficiency
Try yourself:What is the direction of A with respect to D?
I. A is to the north of B, which is to the west of C, which is to the south of D.
II. D is to the west of P, which is to the east of A.
Explanation
From statement I alone, we cannot figure out the position of A with respect to D, as D could be to the north-east, south-east, or east of A.
So, I alone is not sufficient.
From II alone, we cannot figure out the direction of A with respect to D since A could be to the east or west of D.
So II alone is not sufficient.
From I and II together, we can figure out the direction of A with respect to D.
So, both I and II are sufficient to answer the question.
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Question for 12 Minute Test: Data Sufficiency
Try yourself:In a test, P, Q, R, S and T obtained different scores - 10, 14, 16, 15, 20. The average score of all 5 persons is equal to the score of R alone. Which person obtained the highest score?
I. Sum of scores of S and T is 30 and that of Q and P is 30.
II. P scored more than T and sum of scores of Q and S is 24.
Explanation
Average score of all 5 = 75 ÷ 5 = 15, which is the score of R.
So, score of R is 15.
Now, from I alone, we know that sum of scores of S and T is 30 and that of Q and P is 30. So, S and T or Q and P could have scores of 14 and 16 or 10 and 20 or vice-versa.
Thus, no definite conclusion is drawn.
Thus, statement I alone isn't enough.
From II alone, sum of scores of Q and S is 24 and only combination that is possible is 10 and 14. thus 16 and 20 are scores of P and T. Since P scored more than T, thus score of P is 20, which is the highest among of the group.
Thus, statement II alone is sufficient to answer the question, but statement I alone is not sufficient to answer the question.
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Directions: The following problem consists of a question and three statements (I), (II) and (III) given below it. You have to find out which of the statements is/are redundant for determining the answer to the given question or can be dispensed with.
A, B, C, D, E, F and G are sitting on a single bench facing North. C is second to the left of A. C is not the immediate neighbour of E.
Question for 12 Minute Test: Data Sufficiency
Try yourself:Who is sitting exactly in the middle?
I. G is second to the left of F, who is not an immediate neighbour of C.
II. E is the immediate neighbour of A.
III. B is the immediate neighbour of G and F.
Explanation
Using statements I and III, we cannot make particular arrangement as there are many possibilities.
Using statements I and II, we can determine who is sitting in the middle.
It means we can find answer using I and II, so statement III is redundant.
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Question for 12 Minute Test: Data Sufficiency
Try yourself:What is the position of T with respect to S?
I. Z is 7 m to the North of D. T is 10 m to the South of R.
II. S is 5 m to the East of R, who is 10 m to the South of F.
III. F is 20 m to the North of T. S is 10 m to the North of Q.
Explanation
We can answer the question using statement II and either I or III.
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