GRE Problem Solving Select Many Sample Questions
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1. Question:
By which number can 6728 be divided so that the resulting number is a perfect square? Indicate all correct options.
A. 2
B. 4
C. 8
D. 29
E. 58
Correct Answer:
A and C
Explanation:
6728=2*2*2*29*29
6728/2=2*2*29*29 which is a perfect square
6728/4=2*29*29 which is not a perfect square
6728/8=29*29 which is a perfect square
6728/29=2*2*2*29 which is not a perfect square
6728/58=2*2*29 which is not a perfect square
Options A and C are true.
2. Question:
Find the value of 64^(1/5)*512^(1/5). Indicate all correct options.
A. 16
B. 8
C. 4
D. 2^(2/3)
E. 2^3
[x^2=x*x]
Correct Answer:
B and E
Explanation:
64^(1/5)*512^(1/5)
=(64*512)^(1/5)
=(8^2*8^3)^(1/5)
=[8^(2+3)]^(1/5)
=8^(5/5)
=8=2^3
Options B and E are true.
3. Question:
If a^2+b^2=45 and ab=18, then which of the following is equal to 1/a+1/b? Indicate all correct options.
A. 1/4
B. 2/3
C. 1/2
D. -1/2
E. -1/4
[b^2=b*b]
Correct Answer:
C and D
Explanation:
1/a+1/b=(a+b)/ab
=sqrt[(a+b)^2]/ab
=sqrt(a^2+b^2+2ab)/ab
=sqrt(45+2*18)/18
=sqrt(81)/18
=+9/18,-9/18
=+1/2, -1/2
Options C and D are true.
GRE Problem Solving Select Many Sample Questions
Click for More 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
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