GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 25Crafting an Impactful Resume: Balancing Detail with Brevity
10:00 AM EDT
-10:30 AM EDT
Showcase your achievements through impactful storytelling! Get ready for an LIVE session on April 25, Learn how to craft compelling narratives on your resume that resonate with admission committees.
Apr 26Get a Top GRE Score with Target Test Prep
12:00 PM EDT
-01:00 PM EDT
The Target Test Prep course represents a quantum leap forward in GRE preparation, a radical reinterpretation of the way that students should study. In fact, more and more Target Test Prep students are scoring 329 and above on the GRE.
For any integer n greater than 1, n∗ denotes the product of
[#permalink]
29 Jul 2020, 11:08
29 Jul 2020, 11:08
Expert Reply
00:00
Question Stats:
68% (01:07) correct
32% (01:31) wrong based on 25 sessions
Hide Show timer Statistics
For any integer n greater than 1, \(n\ast\) denotes the product of all the integers from 1 to n, inclusive. How many multiples of 4 are there between \(4\ast\) and \(5\ast\), inclusive?
(A) 5
(B) 6
(C) 20
(D) 24
(E) 25
Kudos for the right answer and explanation
(A) 5
(B) 6
(C) 20
(D) 24
(E) 25
Kudos for the right answer and explanation
Re: For any integer n greater than 1, n∗ denotes the product of
[#permalink]
29 Jul 2020, 11:50
29 Jul 2020, 11:50
n* is factorial of n.
4* = 1x2x3x4 = 24
5* = 5x4* = 120
Let there be x multiples of 4 between 24 and 120 inclusive.
We can treat this as an AP with first term 24 and xth term as 120.
=> 120 = 24 + 4*(x - 1)
=> 96 = 4*(x - 1)
=> 24 = x - 1
=> 25 = x
So, the answer is E.
4* = 1x2x3x4 = 24
5* = 5x4* = 120
Let there be x multiples of 4 between 24 and 120 inclusive.
We can treat this as an AP with first term 24 and xth term as 120.
=> 120 = 24 + 4*(x - 1)
=> 96 = 4*(x - 1)
=> 24 = x - 1
=> 25 = x
So, the answer is E.
Re: For any integer n greater than 1, n∗ denotes the product of
[#permalink]
Updated on: 30 Jul 2020, 02:07
Updated on: 30 Jul 2020, 02:07
2
Quote:
For any integer n greater than 1, n∗ denotes the product of all the integers from 1 to n, inclusive. How many multiples of 4 are there between 4∗ and 5∗, inclusive?
Step 1: Understanding the question
As n∗ denotes the product of all the integers from 1 to n, inclusive, value of 4* is 4*3*2*1 = 24 and value of 5* is 5*4*3*2*1 = 120
Difference between 104 and 24 to be calculated to find number of multiples of 4.
Step 2: Calculation
Difference between 120 and 24 = 96
Hence, numbers of multiples between 120 and 24, inclusive, are \(\frac{96}{4}\) + 1 = 24 + 1 = 25
E is correct
Link to my video on the topic: Factorial
https://youtu.be/mLDlYRAr2sA
