GRE Problem Solving Select Many SAMPLE QUESTIONS-2
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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
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