Problem Solving Select Many GRE Sample Questions 3
GRE Problem Solving Select Many Sample Questions
GRE Problem Solving Select Many Sample Questions 1 | GRE Problem Solving Select Many Sample Questions 2 | GRE Problem Solving Select Many Sample Questions 3 | GRE Problem Solving Select Many Sample Questions 4 | GRE Problem Solving Select Many Sample Questions 5 | GRE Problem Solving Select Many Sample Questions 6 | GRE Problem Solving Select Many Sample Questions 7 | GRE Problem Solving Select Many Sample Questions 8 | GRE Problem Solving Select Many Sample Questions 9 | GRE Problem Solving Select Many Sample Questions 10
1. Question:Which of the following is not a rational number? Indicate all correct options.
- A. 2/5
- B. 4/7
- C. -9/10
- D. 23.52
- E. sqrt(2)
Explanation:
A, B and C are rational numbers. D is a decimal number and E is an
irrational number.
2. Question:
Which of the following statements is true for the year 2000? Indicate all correct options.
- A. It is a leap year
- B. It is not a leap year
- C. The year has 365 days
- D. The year has 366 days
- E. The year has 367 days
Explanation:
2000 is divisible by 4 and hence it is a leap year.
An ordinary year has 365 days and a leap year has 366 days.
Hence, options A and D are true.
3. Question:
Which of the following is the GCD of the polynomials x^3+x^2+x+1 and x^4-1? Indicate all such statements.
- A. (x+1)(x^2+1)
- B. (1+x^2)(1+x)
- C. (1+x)(x^2-1)
- D. x(x+2)
- E. (x+1)(x^2+2)
[x^2=x*x]
Correct Answer: A and BExplanation:
x^3+x^2+x+1 = x^2(x+1)+(x+1)
=(x^2+1)(x+1)
x^4-1=(x^2+1)(x^2-1)
=(x^2+1)(x+1)(x-1)
GCD = (x^2+1)(x+1)
The options A and B are true.
GRE Problem Solving Select Many Sample Questions
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