How many positive integers less than 60 are equal to the product of a

Question

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

Skywalker18 · Answer

Number of positive multiples of 5 less than 60 = 11
5*1=5
5*2=10
5*3=15
5*4=20
5*5=25
5*6=30
5*7=35
5*8=40
5*9=45
5*10=50
5*11=55

Only 5 of the above are a product of a positive multiple of 5 and an even number - 10,20,30,40,50

Answer B

LuisP · Answer

let's say 5q is the multiple of 5, 2p the even number
hence, the integer will be of the form 10qp, only 10 20 30 40 and 50 are of this form and less than 60.

Answer B

Abhishek009 · Answer

is 5k

k = {2,4,6,8 ......} (Since numbers are even ) 
 
k = {2m} (Since numbers are even )

Hence 5k = 5(2m)

Or, 5 k =10m

So, We have to find numbers which are multiples of 10

Hence the numbers are - { 10, 20 , 30 , 40 , 50 } Only 5 numbers..

Hence answer is definitely (B)

amansiwach79 · Answer

I think the answer is D
"product of positive multiples of 5 and an even number"
5x2, 5x4, 5x6,5x8, 5x10
10x2, 10x4
15x2
20x2
25x2

10,15,20 and 25 are also positive multiples of 5.

vp101 · Answer

I disagree with those saying the answer is B. In my opinion, answer is D.

Multiple of 5 are: 5, 10, 15, 20, 25, ...

In this case, we have the following fulfilling the conditions:

1. 5*2
2. 5*4
3. 5*6
4. 5*8
5. 5*10
6. 10*2
7. 10*4
8. 15*2
9. 20*2
10. 25*2

Condon · Answer

I came up with the same answer!

nikhiljd · Answer

I guess u will be repeating numbers ... And so u will get 10 ... When u remove the repeats ... U get only 5 now... Hence B...

EMPOWERgmatRichC · Answer

Hi vp101 and Condon,

GMAT questions are always carefully worded, so you have to make sure that you answer the question that is ASKED.

We're asked for the number of positive integers that are less than 60 AND even multiples of 5. If you check your lists, you'll see that you included a number of your integers TWICE.

GMAT assassins aren't born, they're made,
Rich

ScottTargetTestPrep · Answer

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

TheNightKing · Answer

You need to multiply 5 with least positive even integer and see what is the result.
We get 10
Next would be 5*4=20.
next would be 30,40,50. 
60 does not qualify as the question states less than 60.

Hence 5.

Kinshook · Answer

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

Positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number = {10,20,30,40,50} = 5 numbers

IMO B

randomavoidplease · Answer

The way I arrived at the solution. Since the question says that  positive integers < 60 when 5 multiplied by an even number .

Thus
5x2 = 10
5x4= 20
5x6 = 30
5x8 = 40
5x10 = 50
5x12 = 60 < filter reached.

Thus there are 5 integers less than 60 when 5 is multiplied by an even number.

bumpbot · Answer

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How many positive integers less than 60 are equal to the product of a

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How many positive integers less than 60 are equal to the product of a

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