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Bunuel
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If a and b are prime numbers, what is the value of a*b?
(1) a - b = 1
As we know, 2 and 3 are the only consecutive prime numbers, so a*b = 6 and it does not matter whether a = 2 or 3, as we need to find the product a*b.
Sufficient
(2) a = 3
No information on b. Hence, not sufficient

answer A
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Pre-requisite: For solving this question, you only need to keep in mind that only two consecutive prime numbers are 2 and 3.

Stmt A: If \(a-b = 1\), means they are consecutive and hence 2 & 3, therefore \(a*b = 6\), hence sufficient.
Stmt B: If \(a = 3\), value of b can not be ascertained since b can be any prime number and hence \(a*b\) can not be ascertained. Hence insufficient.

Therefore Option A is the answer.

Bunuel
If a and b are prime numbers, what is the value of a*b?

(1) a - b = 1
(2) a = 3



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If a and b are prime numbers, what is the value of a*b?

(1) a - b = 1
the only set of 2 prime numbers with a difference of 1 is (2,3). Hence a x b = 6. SUFFICIENT

(2) a = 3

here b can be any prime number. NOT SUFFICIENT

Ans: Option A
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