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Re: Quant Question of the Day Chat
[#permalink]
30 Nov 2022, 06:43
30 Nov 2022, 06:43
gmatophobia wrote:
PS Question 1 - Nov 20
For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?
I. 2
II. 3
III. 10
A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III
Source: Expert’s Global | Difficulty: Hard
For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?
I. 2
II. 3
III. 10
A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III
Source: Expert’s Global | Difficulty: Hard
Tricky question. Can be much harder if you don’t see the logic.
Remember that x and x+1 have no common factors.
Therefore, for any value of n>10 in the function f(n). It will have as a factor all the previous numbers.
Take the case of n=11. f(n) will be 11!, which has all integers from 1 to 11 as factors.
because n is always greater than 10, 2,3 and 10 itself are included in n!, and therefore n!+1 cannot contain any number from n! as a factor. So E.
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Re: Quant Question of the Day Chat
[#permalink]
30 Nov 2022, 08:34
30 Nov 2022, 08:34
PS Question 2 - Nov 30
N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?
(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined
Source: GMATWhiz | Difficulty: Medium
N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?
(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined
Source: GMATWhiz | Difficulty: Medium
Re: Quant Question of the Day Chat
[#permalink]
30 Nov 2022, 08:38
30 Nov 2022, 08:38
gmatophobia wrote:
PS Question 2 - Nov 30
N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?
(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined
Source: GMATWhiz | Difficulty: Medium
N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?
(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined
Source: GMATWhiz | Difficulty: Medium
A?
