Direction: Correct the underlined part
While digging in the Egyptian desert, huge fossil bones have been found by paleontologists, which appears to have been the second most massive dinosaur that ever lived.
A. huge fossil bones have been found by paleontologists, which appears to have been
B. huge fossil bones have been found by paleontologists, which appear to be from
C. it appears that paleontologists have found huge fossil bones that are from
D. paleontologists have found huge fossil bones from what appears to be
E. paleontologists have found huge fossil bones, which are from what appear to be
For similar cars and drivers, automobile insurance for collision damage has always cost more in Greatport than in Fairmont. Police studies, however, show that cars owned by Greatport residents are, on average, slightly less likely to be involved in a collision than cars in Fairmont. Clearly, therefore, insurance companies are making a greater profit on collision-damage insurance in Greatport than in Fairmont.
Which of the following is an assumption on which the argument depends?
A. Repairing typical collision damage does not cost more in Greatport than in Fairmont.
B. There are no more motorists in Greatport than in Fairmont.
C. Greatport residents who have been in a collision are more likely to report it to their insurance company than Fairmont residents are.
D. Fairmont and Greatport are the cities with the highest collision-damage insurance rates.
E. The insurance companies were already aware of the difference in the likelihood of collisions before the publication of the police reports.
Directions: In this problem, a question is followed by two statements containing certain data. You are to determine whether the data provided by the statements are sufficient to answer the question. Choose the correct answer based upon the statement’s data and your knowledge of mathematics.
What is the length of a side of the square?
1) The perimeter of the square is 4.
2) The diagonal’s length of the square is root 2.
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.
If x+3y-3z=7, x-y+5z=12, what is the value of x+y+z?
A. 17/2 B. 9 C. 19/2 D. 10 E. 21/2
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The preceding participle phrase 'while digging in the Egyptian desert' in this sentence requires 'paleontologists' to be the subject of the main clause for a logical meaning. And the relative pronoun 'what' should be followed by 'appears' because the complement of 'be' is the singular noun phrase 'the second most massive dinosaur.' In this context, the answer is D.
The question is asking for an answer choice that supports the author’s conclusion that insurance companies are making more money from Greatport because they charge more to drivers in Greatport than in Fairmont although Greatport residents are less likely to get involved in a collision. Since profit is derived by subtracting cost from revenue, proving that insurance companies’ costs in Greatport are not higher than Fairmont can support the author’s argument. Therefore, choice A is the correct answer since repairing costs are one component of insurance companies’ costs.
On the original condition, the number of variables is one, It is possible that the answer is D.
Condition 1): If the length of a side of the square is x, 4x=4, x=1. Sufficient.
Condition 2): If the diagonal length is root 2, x=1. Sufficient, therefore the correct answer is D.
The sum of two linear equations is 2x+2y+2z=19, x+y+z=19/2, therefore the correct answer is C.
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