It is currently 21 Apr 2018, 12:08

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is b an integer? (1) a^b is an integer (2) a is an integer

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44599
Is b an integer? (1) a^b is an integer (2) a is an integer [#permalink]

### Show Tags

06 Apr 2018, 04:41
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

83% (00:45) correct 17% (00:29) wrong based on 24 sessions

### HideShow timer Statistics

Is b an integer?

(1) a^b is an integer

(2) a is an integer
[Reveal] Spoiler: OA

_________________
Intern
Joined: 16 Mar 2018
Posts: 36
Location: United Kingdom
GMAT 1: 650 Q45 V35
Re: Is b an integer? (1) a^b is an integer (2) a is an integer [#permalink]

### Show Tags

06 Apr 2018, 04:51
Answer in my opinion B only statement 2 is sufficient.

As in St1 to make a^b integer
a could be 4 and b is 1/2 giving a^b=2 hence b not integer.

Also a could be 1 and b is 1 still giving a^b=1 giving b integer

So ST 1 not sufficient

Sent from my iPhone using GMAT Club Forum
Manager
Joined: 26 Sep 2017
Posts: 63
Re: Is b an integer? (1) a^b is an integer (2) a is an integer [#permalink]

### Show Tags

06 Apr 2018, 08:50
St1 a = 4 b= 1/2 so it is integar
a = 2 b= 2 so it is integar
So not sufficient
St2 a = integar
So no infrmation regarding b
Not suuficient

Combined also not sufficient..
So E is answr...

Sent from my BND-AL10 using GMAT Club Forum mobile app
Manager
Joined: 31 Oct 2013
Posts: 98
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Is b an integer? (1) a^b is an integer (2) a is an integer [#permalink]

### Show Tags

06 Apr 2018, 08:52
Bunuel wrote:
Is b an integer?

(1) a^b is an integer

(2) a is an integer

we are looking for whether b is an integer or not.

statement 1: it states that a^b is an integer. let's assume some values for a and b

case 1: a=4
b=2

so, 4^2=16

case 2: a=4 and b= 1/2

(4)^1/2 is also an integer,

thus statement 1 is not sufficient.

statement 2: it tells about the integer value of a. there is no information regarding b. not sufficient.

1+2: it is still not sufficient to answer the question.

thus , the correct answer is E.
Manager
Joined: 27 Jul 2017
Posts: 53
Re: Is b an integer? (1) a^b is an integer (2) a is an integer [#permalink]

### Show Tags

06 Apr 2018, 22:46
Bunuel wrote:
Is b an integer?

(1) a^b is an integer

(2) a is an integer

In my view, the answer should be E.

Statement 1 - a^b is an integer.
Let say a = 3 and and b = $$\frac{1}{2}$$ (which is not an integer). Then $$a^b$$ = $$3^\frac{1}{2}$$ = $$\sqrt{3}$$. In this case $$a^b$$ is not an integer.

Consider another value where a = 4 and and b = $$\frac{1}{2}$$ (which again is not an integer). Then $$a^b$$ = $$4^\frac{1}{2}$$ = $$\sqrt{4}$$. In this case $$a^b$$ is an integer.

Therefore statement 1 is not sufficient.

Statement 2 - a is an integer
Clearly not sufficient. As in above two examples, we had "a" as an integer so no real value added by the statement.

BOTH statements combined we are still in the same scenario. Therefore none of the statement is sufficient.

Please correct me if I am wrong.
_________________

Ujjwal
Sharing is Gaining!

Re: Is b an integer? (1) a^b is an integer (2) a is an integer   [#permalink] 06 Apr 2018, 22:46
Display posts from previous: Sort by