Problem Solving Select Many GRE Sample Questions 7

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:

In how many ways can the letters of the word SOCIETY be arranged such that the vowels come together? Indicate all correct options.

  • A. 5!
  • B. 7!
  • C. 4!*3!
  • D. 5!3!
  • E. 720
Correct Answer: D and E

Explanation:

There are 7 letters in the word out of which 3 are vowels.

The vowels can be considered as one letter as they are to appear together.

Then, we are to arrange (7-3+1) = 5 letters

This can be done in 5! ways.

The 3 vowels can be arranged among themselves in 3! ways.

Total number of words = 5!3!

= 5*4*3*2*3*2

= 720 ways

Options D and E are true.




2. Question:

The ratio of the circumference of two circles is 2:3. Which of the following is true? Indicate all correct options.

  • A. The ratio of their radii is 4:9
  • B. The ratio of their radii is 2:3
  • C. The ratio of their radii is sqrt(2):sqrt(3)
  • D. The ratio of their area is 4:9
  • E. The ratio of their area is 2:3
Correct Answer: B and D

Explanation:

Let the radii of the circles be x and y

Circumference of a circle = 2pi*r, where r is the radius

Ratio of circumference is 2:3

2pi*x/2pi*y=2/3

x:y = 2:3

Hence ratio of their radii is 2:3


Area of a circle = pi*r^2, where r is the radius

Ratio of area = pi*x^2/(pi*y^2)

= x^2/y^2 = (x/y)^2

= (2/3)^2 = 4/9

Ratio of area = 4:9

Options B and D are true.

[pi=22/7]




3. Question:

Which of the following lies between 0.001 and 0.1? Indicate all correct choices.

  • A. 0.0001
  • B. 0.1^2
  • C. 0.01^2
  • D. 0.01^3
  • E. 2* (0.1^3)

[0.1^2=0.1*0.1]

Correct Answer: B and E

Explanation:

Consider the numbers 0.001 and 0.1

0.0001 < 0.001

0.1^2 = 0.01, 0.001<0.01<0.1

0.01^2 = 0.0001 < 0.001

0.01^3 = 0.000001 < 0.001

2*0.1^3 = 2*0.001 = 0.002, 0.001<0.002<0.1

Options B and E 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




Terms and Conditions


Information published in TestPrepPractice.net is provided for informational and educational purpose alone for deserving students, researchers and academicians. Though our volunteers take great amount of pain and spend significant time in validating the veracity of the information or study material presented here, we cannot be held liable for any incidental mistakes. All rights reserved. No information or study material in this web site can be reproduced or transmitted in any form, without our prior consent. However the study materials and web pages can be linked from your web site or web page for


  • Research

  • Education

  • Academic purposes

No permission is required to link any of the web page with educational information available in this web site from your web site or web page