Positive integers less than 60

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talaangoshtari: Master | Next Rank: 500 Posts; Posts: 154; Joined: Wed May 21, 2014 4:29 amFollowed by: 1 member; Thanked: 8 times

by talaangoshtari » Wed Jul 22, 2015 1:54 am

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

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

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Source: Beat The GMAT — Problem Solving | Wed Jul 22, 2015 1:54 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 » Wed Jul 22, 2015 2:22 am

I believe that the problem should read as follows:

talaangoshtari 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 integer divisible by 5 and an even number is divisible by both 5 and 2 and thus is a MULTIPLE OF 10.
Multiples of 10 less than 60 are 10, 20, 30, 40 and 50.
Total options = 5.

The correct answer is B.

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OptimusPrep: Master | Next Rank: 500 Posts; Posts: 410; Joined: Fri Mar 13, 2015 3:36 amFollowed by: 8 members; Location: Worldwide; Thanked: 120 times; GMAT Score:770

by OptimusPrep » Thu Jul 23, 2015 11:24 am

talaangoshtari 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

For a number to be both a multiple of 5 and an even number, it has to be both a multiple of 5 and 2.
Or a multiple of 10.
Positive integers less than 60 that are multiple of 10 are:

10, 20, 30, 40, 50

Hence the answer is B

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nikhilgmat31: Legendary Member; Posts: 518; Joined: Tue May 12, 2015 8:25 pm; Thanked: 10 times

by nikhilgmat31 » Wed Jul 29, 2015 3:05 am

is the question surely to be multiple of 5 & even number.

then it needs to be multiple of 5 & 2 -- 10,20,30,40,50

answer is 5

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