Last visit was: 22 Apr 2026, 18:28 It is currently 22 Apr 2026, 18:28
Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
sb0541
Joined: 13 Apr 2010
Last visit: 14 Feb 2022
Posts: 62
Own Kudos:
56
 [9]
Given Kudos: 16
Products:
Posts: 62
Kudos: 56
 [9]
3
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
User avatar
Kurtosis
User avatar
Current Student
Joined: 13 Apr 2015
Last visit: 10 Nov 2021
Posts: 1,384
Own Kudos:
Given Kudos: 1,228
Location: India
Products:
Posts: 1,384
Kudos: 5,234
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
sb0541
Joined: 13 Apr 2010
Last visit: 14 Feb 2022
Posts: 62
Own Kudos:
56
 [1]
Given Kudos: 16
Products:
Posts: 62
Kudos: 56
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,231
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,231
Kudos: 3,643
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Vyshak
St1: P^5 is even --> P can be an even integer or an irrational number. For example P can be 5th root of 2. Insufficient.

St2: 142P – 82 is even --> P can be an even integer, odd integer or a fraction. Insufficient.

Combining St1 and St2: From St1 we know that P is not a fraction and from St2 we know that P cannot be irrational. Hence P has to be an even integer.

Answer: C

Hi Vyshak
Can we expect such Questions on the GMAT.


Regards
Stone Cold
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,777
Own Kudos:
13,045
 [1]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,777
Kudos: 13,045
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi All,

We're asked if P is EVEN. This is a YES/NO question. We can solve it by TESTing VALUES. To start though, we have not been told ANYTHING about P, so it could be positive, negative, 0, an integer, a fraction, etc.

1) P^5 is EVEN

This tells us that P^5 could be any even number (re: -2, 0, 2, 4, 6, etc.)

IF....
P^5 = 32, then P = 2 and the answer to the question is YES.
P^5 = 2, then P = a non-integer and the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) 142P - 82 = Even

With the equation in Fact 2, we're subtracting an even number (82) from 142P and getting an even number, thus 142P is EVEN.

IF....
142P = 142, then P = 1 and the answer to the question is NO.
142P = 284, then P = 2 and the answer to the question is YES.
Fact 2 is INSUFFICIENT

Combined, we know:
P^5 is even
142P is even

The only values that fit both Facts are even integers, so the answer to the question is ALWAYS YES.

Final Answer:
GMAT assassins aren't born, they're made,
Rich
Moderators:
Math Expert
109754 posts
498 posts
212 posts