GMAT Prep Question

[sharad22]

If K is an integer greater than 1, is k equal to 2^r for some positive integer r.
(1)k is divisible by 2^6
(2)k is not divisible by any odd integer greater than 1.

[coyote]

My approach --->

Statement 1: k = n* 2^6 (where n is some integer)
Sufficient.

Post edit: It is insufficient.

Statement 2: 2 is the only prime factor of k.
Sufficient.

Answer : Either of the statements are sufficient. (D)
Post edit: IMO its B. Made a silly error earlier.

OA please!

[pandeyrav]

IMO B

A being divisible by 2^6 does not imply that it has no other odd factors. it could be 3*2^6 satisfy 1 but cannot be expressed as a power or 2

2. K is greater than and not divisible by any odd number implies it has to be a power of 2

[prreeet]

IMO B

A being divisible by 2^6 does not imply that it has no other odd factors. it could be 3*2^6 satisfy 1 but cannot be expressed as a power or 2

2. K is greater than and not divisible by any odd number implies it has to be a power of 2

What if k is prime?

IMO C
Stmt. 1 tells us that k = m * 2^6
Stmt. 2 tells us that k is not divisible by odd>1,

combining, m can be 1 or 2^z
hence C

[pandeyrav]

What if k is prime?

IMO C
Stmt. 1 tells us that k = m * 2^6
Stmt. 2 tells us that k is not divisible by odd>1,

combining, m can be 1 or 2^z
hence C

it cannot be a prime as it says no odd number greater than 1 divides it. All primes are divisible by one and themselves.

[prreeet]

it cannot be a prime as it says no odd number greater than 1 divides it. All primes are divisible by one and themselves.

makes sense...
so it should be B
wats the OA?

[coyote]

IMO B

A being divisible by 2^6 does not imply that it has no other odd factors. it could be 3*2^6 satisfy 1 but cannot be expressed as a power or 2

2. K is greater than and not divisible by any odd number implies it has to be a power of 2

Oops! You are right. A silly mistake on my part! Thanks pandey!

IMO its B.

[sharad22]

Thanks OA is B

[wizind77]

Answer : B

is k = 2^r

1.] k = 2^6 * p [ p can be odd or even ..] - insuff to answer
2.] k = 2^ some positive integer q [ suff to answer ]

So B is the choice.