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Directions(31-35) Each Problem consistes of a problem followed by two statements. Decide whether the data in the statements are sufficent to answer the questions. Seclect your answer according to whether:
How many ewes (female sheep) in a flock of 50 sheep are black?
There are 10 rams (male sheep) in the flock.
Forty percent of the animals are black.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option E
Explanation:Here is no explanation for this answer
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32 / 70
Is the length of a side of equilateral triangle E less than the length of a side of square F?
1. The perimeter of E and the perimeter of F are equal.
2. The ratio of the height of triangle E to the diagonal of square F is 2?3 : 3?2.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option D
Explanation:Here is no explanation for this answer
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33 / 70
If a and b are both positive, what percent of b is a?
1. a = 3/11
2. b/a = 20
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option B
Explanation:Here is no explanation for this answer
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34 / 70
A wheel of radius 2 meters is turning at a constant speed. How many revolutions does it make in time T?
1. T = 20 minutes.
2. The speed at which a point on the circumference of the wheel is moving is 3 meters per minute.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option C
Explanation:Here is no explanation for this answer
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35 / 70
Are the integers x, y and z consecutive?
1. The arithmetic mean (average) of x, y and z is y.
2. y-x = z-y
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option E
Explanation:Here is no explanation for this answer
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36 / 70
Is x > 0 ?
1. -2x < 0
2. x > 0
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option D
Explanation:Here is no explanation for this answer
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37 / 70
A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?
1. The distance between doors B and D is 10 meters.
2. The distance between A and C is 12 meters.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option E
Explanation:Here is no explanation for this answer
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38 / 70
Given that x and y are real numbers, what is the value of x + y ?
1. (x^2 - y^2)/(x-y) = 7
2. (x + y)^2 = 49
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option A
Explanation:Here is no explanation for this answer
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39 / 70
Question: Two socks are to be picked at random from a drawer containing only black and white socks. What is the probability that both are white?
Statements:
1. The probability of the first sock being black is 1/3.
2. There are 24 white socks in the drawer.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option C
Explanation:Here is no explanation for this answer
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40 / 70
Question: A bucket was placed under a dripping tap which was dripping at a uniform rate. At what time was the bucket full?
Statements:
(i) The bucket was put in place at 2pm.
(ii) The bucket was half full at 6pm and three-quarters full at 8pm on the same day.
Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient
Deach statement alone is sufficient
Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Answer: Option B
Explanation:Here is no explanation for this answer
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