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B
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Difficulty:
45%
(medium)
Question Stats:
66% (01:53) correct
34%
(01:53)
wrong
based on 491
sessions
History
Date
Time
Result
Not Attempted Yet
If u is a multiple of prime number v, is u a multiple of v^2?
(1) v < 6
(2) u = 42
(1) v < 6
(2) u = 42
16 Jan 2015, 02:38
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If u is a multiple of prime number v, is u a multiple of v^2?
(1) v < 6 --> v can be 2, 3 or 5. We know nothing about u. Not sufficient.
(2) u = 42 --> u = 42 = 2*3*7. Since u is NOT a multiple of any prime in power of 2, then u cannot be a multiple of v^2. Sufficient.
Answer: B.
(1) v < 6 --> v can be 2, 3 or 5. We know nothing about u. Not sufficient.
(2) u = 42 --> u = 42 = 2*3*7. Since u is NOT a multiple of any prime in power of 2, then u cannot be a multiple of v^2. Sufficient.
Answer: B.
16 Jan 2015, 13:58
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Hi RoberJr,
This DS question is a test of your ability to notice restrictions and consider possibilities.
We're told that V is a PRIME NUMBER and that U is a MULTIPLE of V. We're asked if U is a multiple of V^2. This is a YES/NO question.
Fact 1: V < 6
Since we were told that V is PRIME, and now we know that V is less than 6...
V can ONLY be 2, 3, or 5
IF....
V = 2
U = 4
The answer to the question is YES
V = 2
U = 6
The answer to the question is NO
Fact 1 is INSUFFICIENT
Fact 2: U = 42
Since U is a MULTIPLE of V, V can only be a handful of different numbers: 1, 42, 2, 21, 3, 14, 6, or 7
We ALSO know that V has to be PRIME. From that larger list, we can narrow the options down....
V can ONLY be 2, 3 or 7.
IF...
V = 2
V^2 = 4
U = 42
The answer to the question is NO
IF....
V = 3
V^2 = 9
U = 42
The answer to the question is NO
IF....
V = 7
V^2 = 49
U = 42
The answer to the question is NO.
The answer is ALWAYS NO.
Fact 2 is SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This DS question is a test of your ability to notice restrictions and consider possibilities.
We're told that V is a PRIME NUMBER and that U is a MULTIPLE of V. We're asked if U is a multiple of V^2. This is a YES/NO question.
Fact 1: V < 6
Since we were told that V is PRIME, and now we know that V is less than 6...
V can ONLY be 2, 3, or 5
IF....
V = 2
U = 4
The answer to the question is YES
V = 2
U = 6
The answer to the question is NO
Fact 1 is INSUFFICIENT
Fact 2: U = 42
Since U is a MULTIPLE of V, V can only be a handful of different numbers: 1, 42, 2, 21, 3, 14, 6, or 7
We ALSO know that V has to be PRIME. From that larger list, we can narrow the options down....
V can ONLY be 2, 3 or 7.
IF...
V = 2
V^2 = 4
U = 42
The answer to the question is NO
IF....
V = 3
V^2 = 9
U = 42
The answer to the question is NO
IF....
V = 7
V^2 = 49
U = 42
The answer to the question is NO.
The answer is ALWAYS NO.
Fact 2 is SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
