BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

How many distinct Prime Factors does a^b^c has 1) a^b has t

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pm
Location: New Delhi, India
Thanked: 205 times
Followed by:24 members

How many distinct Prime Factors does a^b^c has 1) a^b has t

by GMATinsight » Thu Jun 01, 2017 7:17 pm
How many distinct Prime Factors does a^b^c has

1) a^b has three distinct prime factors
2) b^c has four distinct prime factors

Answer: Option A

Source: www.GMATinsight.com
"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
Top
Source: — Data Sufficiency |
Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Sat May 06, 2017 10:45 pm

by susheelh » Thu Jun 01, 2017 8:29 pm
@GMATinsight,

I Tried to solve this in the following way. Please correct me if wrong. (Took a long time though) :(

S1: a^b has 3 distinct prime numbers.
Let the three distinct prime numbers be 2,3,5. Stem can be rewritten as a=(2*3*5). a^b = (2*3*5) * (2*3*5)....b times. Notice that the same three prime factors are repeated each time. infact for any power of a, the same three primes will be repeating. This also means a^b^c will also have 3 distinct primes.
S1 is hence sufficient.

S2: b^c has four distinct prime factors. This says b^c has 4 distinct prime factors. No info on a though. If a = 0 the answer is different as compared to say a = 2
Insuff.

Final answer = A
GMATinsight wrote:How many distinct Prime Factors does a^b^c

1) a^b has three distinct prime factors
2) b^c has four distinct prime factors

Answer: Option A

Source: www.GMATinsight.com
Top
Post new topic Post Reply
• Page 1 of 1