Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT 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.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
26 May 2016, 11:11
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:53) correct
35%
(01:48)
wrong
based on 238
sessions
History
Date
Time
Result
Not Attempted Yet
p is an integer between 10 and 99. Is p less than 80?
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
Senthil1981
Joined: 23 Apr 2015
Last visit: 14 Oct 2021
Posts: 232
Own Kudos:
Given Kudos: 36
Location: United States
Concentration: General Management, International Business
Schools: Booth PT '19 Ross Weekend"19
WE:Engineering (Consulting)
26 May 2016, 11:31
Kudos
Bookmarks
p is an integer between 10 and 99. Is p less than 80?
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
Only from (1) : The product of the two digits in p is a prime number:
As per the definition of prime, it's only factors are 1 and itself, therefore if the number p's 2 digits are x and y, then x*y is a prime.Which implies, one of them is 1 and other could be 1 or another prime. so let's list the primes which has 1 in it.
{13, 17, 31, 71} exclude {41,61} since 4 and 6 are not primes as per given statement 1.
All the above are less than 80, So select A and D
Only from (2) : Each of the two digits has at most 2 factors :
As per this, the two digits can both be a single digit prime number and/or 1. which could be {11, 12, 13, 15, 17, 31, 71}.
All the above are less than 80, therefore select D.
Answer is therefore D, (D) each statement alone is sufficient
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
Only from (1) : The product of the two digits in p is a prime number:
As per the definition of prime, it's only factors are 1 and itself, therefore if the number p's 2 digits are x and y, then x*y is a prime.Which implies, one of them is 1 and other could be 1 or another prime. so let's list the primes which has 1 in it.
{13, 17, 31, 71} exclude {41,61} since 4 and 6 are not primes as per given statement 1.
All the above are less than 80, So select A and D
Only from (2) : Each of the two digits has at most 2 factors :
As per this, the two digits can both be a single digit prime number and/or 1. which could be {11, 12, 13, 15, 17, 31, 71}.
All the above are less than 80, therefore select D.
Answer is therefore D, (D) each statement alone is sufficient
26 May 2016, 20:53
Kudos
Bookmarks
Bunuel
p is an integer between 10 and 99. Is p less than 80?
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
Given: p is an integer between 10 and 99
Statement 1
The product of the two digits in p is a prime number. Prime number has 2 factors 1 and itself. So, one digit is 1 and other a prime.
p can at max be 71. Hence, p will always be less than 80.
Sufficient
Statement 2
Each of the two digits has at most 2 factors
This gives us following cases:
1. both digits are 1
2. one of the digits is 1 and other a prime
3. both the digits are prime.
so p can at max be 77. Hence, p will always be less than 80
Sufficient
Answer - D
