GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2019, 22:40

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

T1 and T2 are two sets containing integers only. If an integer X is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1428
Location: India
T1 and T2 are two sets containing integers only. If an integer X is  [#permalink]

Show Tags

New post 15 Mar 2018, 23:37
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:16) correct 44% (01:13) wrong based on 65 sessions

HideShow timer Statistics

T1 and T2 are two sets containing integers only. If an integer X is randomly selected from T1 and another integer Y is randomly selected from T2, what is the probability that Y^X (Y raised to the power X) is even?

(1) T1 = {-16, -4, 0, 6, 12}

(2) T2 = {-17, -15, -11, 19, 25}
Intern
Intern
avatar
B
Joined: 18 Dec 2017
Posts: 9
Location: India
GMAT 1: 650 Q45 V35
GPA: 3.3
Re: T1 and T2 are two sets containing integers only. If an integer X is  [#permalink]

Show Tags

New post 17 Mar 2018, 13:59
Odd^Odd is always Odd. and Odd^Even is also always odd. So We just need to know if Y in Y^X is even or ODD. Since all the numbers in Y are odd. The answer will be NO.
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3092
T1 and T2 are two sets containing integers only. If an integer X is  [#permalink]

Show Tags

New post 21 Mar 2018, 01:04

Solution:



\(X\)-> a number from the set T1.
\(Y\)-> a number from the set T2.

\(Y^X\) is even only when \(Y\) is even and \(X\) is positive.

Thus, we need to find the probability of selecting even values of \(Y\).

Statement-1 is “T1 = {-16, -4, 0, 6, 12}”.

Since only \(X\) is selected from \(T1\), we cannot find the possible values of \(Y\) from this statement.

Thus, Statement 1 alone is not sufficient to answer the question.

Statement-2 is “T2 = {-17, -15, -11, 19, 25}”.

Since \(T2\) does not have any even number. Hence, there are no possible values of \(Y\).

Thus, the probability that \(Y^X\) is even is \(0\).

Statement 2 alone is sufficient to answer the question.

Answer: B
_________________
GMAT Club Bot
T1 and T2 are two sets containing integers only. If an integer X is   [#permalink] 21 Mar 2018, 01:04
Display posts from previous: Sort by

T1 and T2 are two sets containing integers only. If an integer X is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne