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If \(a\) and \(b\) are distinct prime numbers, which of the following could be the product of \(a\) and \(b?\)

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by M7MBA » Wed Sep 09, 2020 6:48 am

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Answers

A

B

C

D

E

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Difficulty—

If \(a\) and \(b\) are distinct prime numbers, which of the following could be the product of \(a\) and \(b?\)

A. 4
B. 5
C. 10
D. 11
E. 25

Answer: C

Source: Princeton Review
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Re: If \(a\) and \(b\) are distinct prime numbers, which of the following could be the product of \(a\) and \(b?\)

by Nirav Umaretiya » Sat Sep 12, 2020 10:33 pm
Start with factorization, ideally for this question one should not need a notepad

A) 4 = 2 x 2 (two primes, but not distinct, eliminate)
B) 5 = 5x1 (it self a prime, no other distinct prime factor, eliminate)
C) 10 = 2 x 5 (Correct, two primes, also distinct)
D) 11 = 11 x 1 (it self a prime, no other distinct prime factor, eliminate)
E) 25 = 5 x 5 (two primes, but not distinct, eliminate)
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