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09 Nov 2022, 06:37
Kudos
Bookmarks
PS Butler Question - Nov 09
Which of the following could be the exact value of n^4 where n is an integer?
A. 1.6*10^20
B. 1.6*10^21
C. 1.6*10^22
D. 1.6*10^23
E. 1.6*10^24
Source: Others | Difficulty: Medium
Which of the following could be the exact value of n^4 where n is an integer?
A. 1.6*10^20
B. 1.6*10^21
C. 1.6*10^22
D. 1.6*10^23
E. 1.6*10^24
Source: Others | Difficulty: Medium
09 Nov 2022, 08:17
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gmatophobia
PS Butler Question - Nov 09
Which of the following could be the exact value of n^4 where n is an integer?
A. 1.6*10^20
B. 1.6*10^21
C. 1.6*10^22
D. 1.6*10^23
E. 1.6*10^24
Source: Others | Difficulty: Medium
B Which of the following could be the exact value of n^4 where n is an integer?
A. 1.6*10^20
B. 1.6*10^21
C. 1.6*10^22
D. 1.6*10^23
E. 1.6*10^24
Source: Others | Difficulty: Medium
-> 16 * 10^20 = (2 * 10^5)^4
-> So, n = (2 * 10^5)
Updated on: 09 Nov 2022, 09:13
Originally posted by gmatophobia on 09 Nov 2022, 09:08.
Last edited by gmatophobia on 09 Nov 2022, 09:13, edited 3 times in total.
Last edited by gmatophobia on 09 Nov 2022, 09:13, edited 3 times in total.
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gmatophobia
Nov 09 - Problem Solving Question of the Day
If the sum of all positive factors of an integer n is 2n, n is a perfect number. For example, the factors of 6 are 1, 2, 3, and 6, and from the sum 1+2+3+6=12=2*6, the sum of the factors of 6 becomes 12=2*6, thus 6 is the first perfect number. Then, what is the number of factors of the second perfect number?
A. 4
B. 5
C. 6
D. 8
E. 12
Source: Math Revolution | Difficulty: Hard
If the sum of all positive factors of an integer n is 2n, n is a perfect number. For example, the factors of 6 are 1, 2, 3, and 6, and from the sum 1+2+3+6=12=2*6, the sum of the factors of 6 becomes 12=2*6, thus 6 is the first perfect number. Then, what is the number of factors of the second perfect number?
A. 4
B. 5
C. 6
D. 8
E. 12
Source: Math Revolution | Difficulty: Hard
C
Nov 09 - Data Sufficiency
A group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less that the regular admission fee. How many children were in the group?
(1) The total of the admission fees paid for the adults in the group was ¥29,700
(2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.
Source: Official Guide | Difficulty: Medium
gmatophobia
Nov 09 - Data Sufficiency Question of the Day
The function f is defined for all positive integers n > 4 as f(n) = 3n – 9 if n is odd and f(n) = 2n – 7 if n is even. What is the value of the positive integer a?
(1) f(f(a)) = a
(2) f(f(f(a))) is odd.
Source: Manhattan | Difficulty : Hard
The function f is defined for all positive integers n > 4 as f(n) = 3n – 9 if n is odd and f(n) = 2n – 7 if n is even. What is the value of the positive integer a?
(1) f(f(a)) = a
(2) f(f(f(a))) is odd.
Source: Manhattan | Difficulty : Hard
C
Nov 09 - Data Sufficiency - 1
A group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less that the regular admission fee. How many children were in the group?
(1) The total of the admission fees paid for the adults in the group was ¥29,700
(2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.
Source: Official Guide | Difficulty: Medium
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