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Bunuel
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m is a positive integer less than 300 and has exactly two even and two 05 Dec 2018, 06:13
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

71% (02:21) correct 29% (02:25) wrong based on 138 sessions

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m is a positive integer less than 300 and has exactly two even and two odd prime factors in its prime factorization. What is the maximum possible value of m ?

A. 270
B. 272
C. 274
D. 276
E. 278
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D
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Chethan92
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m is a positive integer less than 300 and has exactly two even and two 05 Dec 2018, 06:50
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Prime factorize of 276 = 2*2*3*23
Two even and two odd.

D is the answer.
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m is a positive integer less than 300 and has exactly two even and two 05 Dec 2018, 06:57
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Should be D, prime factorize and the only one that satisfies the requirements is 276 = 2x2x3x23
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m is a positive integer less than 300 and has exactly two even and two 11 Dec 2018, 04:50
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Here is how I approached this question:

If it has exactly two prime factors that are even, those two must be 2x2. So this is equal to 4.
This tells us that one of the answer choices must be divisible by 4. Knowing this, we can eliminate answer choices A,C and E.

On to the other 2 answer choices: The prompt gives us the information that the other two factors will definitely be two numbers that are odd. This means, if B is divided by 4, the result must be divisible by only two odd prime numbers. Let's do this:

272/4 = 68 (we already get a hint that this will not be the OA, as this is divisible by an even integer)
276/4 = 69 -> this looks really promising. After finding the prime factorization of 23*3, we can surely say that this must be the number we are looking for.

Hope this helps

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m is a positive integer less than 300 and has exactly two even and two 26 Mar 2022, 00:21
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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