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Bunuel
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Bunuel
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HCF of a and b?

Statement 1: a is divisible by 15.
a = 15k
Not sufficient.

Statement 2: b = 2a
if a = 8, b =16
HCF = 8

if a=9, b= 18
HCF= 9
Not sufficient.

Combining both the statement.
a=15k
b=2a
if a = 15
b = 30
HCF = 15

If a= 30
b= 60
HCF = 30

Still not sufficient.
IMO E.
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What is the value of the greatest common divisor of integers a and b?

Stat1: a is divisible by 15.
But, we have no idea about b. Not sufficient

Stat2: b = 2a
GCD depends on value of a. Not sufficient

Combining both, we don't have value of a. Not sufficient

So, I think E. :)
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1) tells us A's prime factors break down to 3 * 5 * (anything)
Insufficient

2) tells us B's prime factors break down to 2*(prime factors of a, which can be anything)
Insufficient

Both together:
A can be 3*5*(anything for a's prime factors)
B can be 2*3*5*(anything for a's prime factors)

Greatest common divisor is the product of the common prime factors. Since we can not narrow down the "anything for a's prime factors", insufficient information.
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