How many positive integers less than 60 are equal to

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Mon Apr 23, 2018 12:48 am

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How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?

A. 4
B. 5
C. 9
D. 10
E. 11

[spoiler]OA=B.[/spoiler]

Is there a strategic approach to solving this PS question? I would like some help. Thanks.

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Source: Beat The GMAT — Problem Solving | Mon Apr 23, 2018 12:48 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Mon Apr 23, 2018 2:40 am

Gmat_mission wrote:How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?

A. 4
B. 5
C. 9
D. 10
E. 11

An even multiple of 5 is divisible by 2 and 5.
Any integer divisible by 2 and 5 is a MULTIPLE OF 10.
The following multiples of 10 are less than 60:
10, 20, 30, 40, 50.
Total options = 5.

The correct answer is B.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8137; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Apr 24, 2018 10:44 am

Gmat_mission wrote:How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?

A. 4
B. 5
C. 9
D. 10
E. 11

We should note that "the product of a positive multiple of 5 and an even number" is the same thing as "an even multiple of 5". The positive integers less than 60 that are also even multiples of 5 are 10, 20, 30, 40, and 50, so there are 5 integers.

Answer: B

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