You will have 3 hours to take this exam. This exam contains 19 pages, and is spanided into 4 sections. During this exam, you are NOT allowed to use any computers, calculators, or other electronic devices. Please review the questions first, and pace yourself accordingly. Good luck!
Section 1: Informational only(0 points each, 0% of total score)
This section contains multiple-choice questions. These questions do not count for any points, and are only for informational purposes. Please mark your answers on the answer sheet located on page 12.
1. In applying for this job,what is your first choice of location?
A. Beijing
B. Shanghai
2. What is your second choice of location?
A. Beijing
B. Shanghai
C. None(I am only applying for the first choice location)
3. If your location choices include Beijing, what is your team Pference?
A.. Beijing: EMC team
B. Beijing: Vmware team
C. Beijing: No Pference(either team)
D. I am only applying for Shanghai position(EMC team only)
4. What is your first choice in terms of position(job role)?
A. Software Development Engineer
B. Software QA Engineer
C. No Pference
5. What is your second choice in terms of position(job role)?
A. Software Development Engineer
B. Software QA Engineer
C. None.(I am only applying for the first choice position.)
Section 2: Multi-Choice(1 point each, 60% of total score)
This section contains 32 multi-choice questions. For each question, only one answer is correct. Please mark your answer sheet located on page 12. Answers marked on this question sheet will not be read or scored.
A correct answer will score 1 point; a blank answer will score 0 points; an incorrect answer will score negative 1/4 point. You are allowed to leave an answer blank.
1. Place the following 6 values in increasing order:
-0.5, (2/e), , ,(1/(1/2)e−(1/)2eπ)， -(π/2)
A. -(π/2), , -0.5, (1/(1/2)e−π), , (2/e) (1/)2e
B. , -((1/2)e−π/2), -0.5, (1/π), (2/e), (1/)2e
C. , -((1/2)e−π/2), -0.5, ，(1/(1/)2eπ), (2/e)
D. -(π/2), ，-0.5, ，(1/(1/2)e−(1/)2eπ), (2/e)
E., -((1/2)e−π/2), -0.5, (1/π), , (2/e) (1/)2e
2. A positive number, when spanided by 3, has a remainder of 1. When spanided by 5, it has a remainder of 4. And when spanided by 7, it has a remainder of 3. What is the smallest number that satisfies above conditions?
A. 64
B. 94
C. 129
D. 304
E. None of the above.
3. Assuming n>=2, how many prime numbers are there among n!+2, n!+3, n!+4,…, n!+n?
A. 1;
B. 2
C. floor(n/2)
D. n-1
E. None of the above
4. What are the most reasonable two numbers to follow the sequence:
A. 124, 217
B. 125, 217
C. 125, 215
D. 126, 215
E. None of the above
5. If F(n)=50!5, (n is positive integer), what number is the least value of n such that F(n) and F(n+1) have the same number of trailing 0’s (F(n) is rePsented in decimal)? n
A. 34
B. 35
C. 36
D. 37
E. None of the above
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