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fitzpratik
08 Mar 2019, 21:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:06) correct
26%
(01:11)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
If a and b denote two prime numbers, is the product ab <10?
A. a is the smallest prime number
B. b < 8 and b > a
A. a is the smallest prime number
B. b < 8 and b > a
08 Mar 2019, 23:20
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Statement 1 - a is the smallest prime number.. a= 2... Nothing about b.. if b = 3
ab<10, if b= 7 , ab> 10
Not sufficient.
Statement 2 - b<8 and b>a
Same as statement 1, not sufficient...
Combining both statements won't help.. a= 2, and b > 2, if b= 3 answer is yes, if b= 13 , the answer is no... Therefore E is the right choice.
Posted from my mobile device
ab<10, if b= 7 , ab> 10
Not sufficient.
Statement 2 - b<8 and b>a
Same as statement 1, not sufficient...
Combining both statements won't help.. a= 2, and b > 2, if b= 3 answer is yes, if b= 13 , the answer is no... Therefore E is the right choice.
Posted from my mobile device
09 Mar 2019, 10:38
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fitzpratik
Given: a and b denote two prime numbers
Target question: Is the product ab <10?
Statement 1: a is the smallest prime number
No information about b
Statement 1 is NOT SUFFICIENT
Statement 2: b < 8 and b > a
There are several values of a and b that satisfy statement 2. Here are two:
Case a: a = 2 and b = 3. In this case, ab = (2)(3) = 6. So, the answer to the target question is YES, ab IS less than 10
Case b: a = 2 and b = 7. In this case, ab = (2)(7) = 14. So, the answer to the target question is NO, ab is NOT less than 10
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
IMPORTANT: When testing possible cases, always check to see whether you can re-use possible cases from previous statements.
In this case, we can see that the two cases I tested for Statement 1 can be re-used for the statements COMBINED.
Case a: a = 2 and b = 3. In this case, ab = (2)(3) = 6. So, the answer to the target question is YES, ab IS less than 10
Case b: a = 2 and b = 7. In this case, ab = (2)(7) = 14. So, the answer to the target question is NO, ab is NOT less than 10
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
