(Q. 1 - 5) Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:

(A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
(B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
(C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
(D) each statement alone is sufficient
(E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question


1) A man shared his lottery winnings of $15,000 with his wife and two children. How much did his wife receive?

1. He gave his children $2,000 each.
2. The wife received $1,000 less than her husband and three thousand more than each of the children.

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2) Three teams, A, B and C each have five members. The three teams competed in a three-event competition. The points earned by individual members of the teams were added to get the team totals. Five points were awarded to the individual winner of each event, four points to the second and three points to the third. (No points were awarded for lower positions). Which team won the competition?

1. No team scored fewer points than C, which scored 11 points.
2. Members of Team A won two events and came second in the third event.

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3) If x and y are both positive, and if x/y = 7/2, how much greater is x than y?

1. 2x + y = 8
2. 0

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4) If x, y and z are different integers, is x divisible by 11?

1. xyz is divisible by 22 and 33
2. yz is divisible by 72

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5) A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

1. 20 percent of the male faculty members have a doctorate.
2. A total of 1140 faculty members have only a masters degree.

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