Problem Solving Select Many GRE Sample Questions 10
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:C(n,8) = C(n,6). Which of the following is true? Indicate all correct choices.
- A. n = 14
- B. n = 1
- C. n< 8
- D. C(n,2) = 91
- E. C(n, 2) = 12
Explanation:
C(n,8) = C(n,6)
n!/[8!(n-8)!] = n!/[6!(n-6)!]
6!(n-6)! = 8!(n-8)!
6!(n-6)(n-7)(n-8)!=8*7*6!(n-8)!
(n-8)(n-7)=7*8
n^2-13n+42=56
n^2-13n-14=0
n^2-14n+n-14=0
n(n-14)+1(n-14)=0
n=-1, 14
Since n cannot be nagative, n = 14
Option A is true and B and C are false.
C(n,2) = C(14,2)
= 14!/[2!(14-2)!]
= 14!/(2!12!)
= 14*13/2 = 7*13 = 91
Option D is true and E is false.
2. Question:
There are 5 letters to be put into 5 envelops. Each letter and each envelop bears the name of the receipent. Which of the following is true? Indicate all correct options.
- A. There is only one way of putting the letters in the correct envelops
- B. There are total 120 ways of putting the letters in the envelops
- C. There are 119 wrong ways of putting the letters in the envelops
- D. There are 25 ways of putting the letters in the envelops
- E. There are 24 wrong ways of putting the letters in the envelops
Explanation:
The first letter can be put in the envelops in 5 ways
The second letter canbe put in the envelops in 4 ways
The third letter can be put in the envelops in 3 ways
and so on
Total number of ways = 5*4*3*2*1
= 120
There is only 1 correct way of putting the letters in the envelops
There are 120-1 = 119 incorrect ways.
Options A, B and C are true.
3. Question:
Two dice are tossed together. Which of the following is true? Indicate all correct choices.
- A. The probability that the sum of the two numbers is divisible by 3 is 1/12
- B. The probability that the sum of the two numbers is divisible by 4 is 1/12
- C. The probability that the sum of the two numbers is divisible by 3 is 1/3
- D. The probability that the sum of the two numbers is divisible by 4 is 1/4
- E. The probability that the sum of the two numbers is divisible by 3 or 4 is 5/9
Explanation:
Let the event of divisibility by 3 be A and that of divisibility by 4 be B.
Total possible outcomes are 6*6=36
Elements in the sample space for which sum of numbers is 3: (1,2),(2,1),(1,5),(5,1),(2,4), (4,2), (4,5)
(5,4),(3,6)(6,3)(6,6)
P(A) = 12/36 = 1/3
Elements in the sample space for which sum of numbers is 4: (2,2),(1,3),(3,1),(3,5), (5,3), (4,4)
(2,6)(6,2)(6,6)
P(B) = 9/36 = 1/4
Options A and B are false and C and D are true.
Number of events nwhich the sum of numebrs is divisible by 3 and 4 both= 1 (6,6)
P(sum of numbers is divisible by 3 or 4) = P(A)+P(B) - P(sum is divisible by 3 and 4)
= 1/3+1/4-1/36 = 5/9
Option E is 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