What is a quick efficient way to solve this?
How many prime numbers are there between 1 and 10,000?
A) 1229
B) 3341
C) 3441
D) 3541
E) 4999
Thanks!
Prime Numbers
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 8
- Joined: Sun Jul 27, 2014 1:22 am
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
Easiest and Quickest is to google it.alexandrabiorka wrote:What is a quick efficient way to solve this?
How many prime numbers are there between 1 and 10,000?
A) 1229
B) 3341
C) 3441
D) 3541
E) 4999
Thanks!
Such a question in no way comes in purview of GMAT.
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
GMAT definitely asks questions that resemble with such Question
e.g. What is the probability of a number chosen being an odd integer if the number is chosen from the set of prime numbers from 100 to 10,000.
Answer: 1
e.g. What is the probability of a number chosen being an odd integer if the number is chosen from the set of prime numbers from 100 to 10,000.
Answer: 1
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
- perwinsharma
- Junior | Next Rank: 30 Posts
- Posts: 21
- Joined: Mon Jun 22, 2009 9:43 pm
- Location: India
- Thanked: 3 times
- GMAT Score:770
To find the number of primes till 'x', use the formula x/(ln x - 1)
where ln = natural log of 'x'
where ln = natural log of 'x'
-
- Newbie | Next Rank: 10 Posts
- Posts: 8
- Joined: Sun Jul 27, 2014 1:22 am
This question was asked in a number properties packet from my GMAT Prep course. Thanks for all of your help!!
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Just to be clear (for those just beginning their prep), you need not have any knowledge of logarithms to ace the GMAT.perwinsharma wrote:To find the number of primes till 'x', use the formula x/(ln x - 1)
where ln = natural log of 'x'
alexandrabiorka, this question is clearly out of scope for the GMAT, so whatever resource you are using, it may be steering you in the wrong direction.
Cheers,
Brent
ASIDE: perwinsharma, your formula provides only an APPROXIMATION of the number of primes.
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi alexandrabiorka,
I agree that this question isn't written in proper GMAT-style, although some of the concepts behind this question will show up on Test Day. This problem is more about figuring out the NON-PRIMES than the primes. The answer choices are "spread out" enough that we can do a little bit of work and eliminate all of the wrong answers.
We have the numbers 1 to 10,000 (I assume it's meant to be inclusive). What obvious numbers do we know that are NOT prime?
Evens (other than the number 2)
ANY multiple of 3 (other than the number 3)
Any multiple of 5 (other than the number 5)
There are 5,000 evens
There are 3333 multiples of 3 (although half of them are even so they were already "counted", so we really have 1666)
There are 2000 multiples of 5 (although half of them are even; of those that are odd, about a third are multiples of 3, we have 666)
With just these 3 options, we have:
approximately 5000 + 1666 + 666 = OVER 7,000 NON-primes.
10,000 - (over 7000) = LESS than 3000
The only answer that makes sense is A
GMAT assassins aren't born, they're made,
Rich
I agree that this question isn't written in proper GMAT-style, although some of the concepts behind this question will show up on Test Day. This problem is more about figuring out the NON-PRIMES than the primes. The answer choices are "spread out" enough that we can do a little bit of work and eliminate all of the wrong answers.
We have the numbers 1 to 10,000 (I assume it's meant to be inclusive). What obvious numbers do we know that are NOT prime?
Evens (other than the number 2)
ANY multiple of 3 (other than the number 3)
Any multiple of 5 (other than the number 5)
There are 5,000 evens
There are 3333 multiples of 3 (although half of them are even so they were already "counted", so we really have 1666)
There are 2000 multiples of 5 (although half of them are even; of those that are odd, about a third are multiples of 3, we have 666)
With just these 3 options, we have:
approximately 5000 + 1666 + 666 = OVER 7,000 NON-primes.
10,000 - (over 7000) = LESS than 3000
The only answer that makes sense is A
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Nice work, Rich.
The Process of Elimination technique eluded me!
Cheers,
Brent
The Process of Elimination technique eluded me!
Cheers,
Brent