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2 digits pq is a multiple of 13. then pq=

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2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 24 Jan 2018, 01:59
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Question Stats:

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2pq5 is a four digits number divisible by 25. if the number formed from the 2 digits pq is a multiple of 13. then pq=

a)10
b)25
c)52
d)65
e) none of these
[Reveal] Spoiler: OA

Last edited by selim on 24 Jan 2018, 03:34, edited 1 time in total.
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Re: 2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 24 Jan 2018, 02:14
For a number to be divisible by 25 the last two digits has to be 25. This makes the digit ‘q’ as 2 which is find only in option C. Hence C

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Re: 2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 24 Jan 2018, 03:29
selim wrote:
2pq5 is a four digits number divisible by 25. if the number formed from the 2 digits pq is a multiple of 13. then pq=

a)10
b)25
c)52
d)65
e) none of these



number = 2pq5..
number 2pq5 is div by 25, so q has to be 2 or 7..
a,b,and c can be eliminated..
so our answer can be 52 or none of these..

now it is given that pq is multiple of 13...
52 is multiple of 13... 13*4=52
so answer is C
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Re: 2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 24 Jan 2018, 05:44
selim wrote:
2pq5 is a four digits number divisible by 25. if the number formed from the 2 digits pq is a multiple of 13. then pq=

a)10
b)25
c)52
d)65
e) none of these
Check using the options...

13 x 4 = 52

And, 2525 is divisible by 25 , hence answer must be (C)
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Re: 2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 26 Jan 2018, 09:36
selim wrote:
2pq5 is a four digits number divisible by 25. if the number formed from the 2 digits pq is a multiple of 13. then pq=

a)10
b)25
c)52
d)65
e) none of these


Since 2pq5 is divisible by 25, q5 must be either 25 or 75.

Of the answer choices, only 52 and 65 are multiple of 13. However, only 52 can be pq, because then q5 = 25, making 2pq5 divisible by 25.

Answer: C
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Re: 2 digits pq is a multiple of 13. then pq= [#permalink]

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New post 10 Feb 2018, 08:15
JeffTargetTestPrep wrote:
selim wrote:
2pq5 is a four digits number divisible by 25. if the number formed from the 2 digits pq is a multiple of 13. then pq=

a)10
b)25
c)52
d)65
e) none of these


Since 2pq5 is divisible by 25, q5 must be either 25 or 75.

Of the answer choices, only 52 and 65 are multiple of 13. However, only 52 can be pq, because then q5 = 25, making 2pq5 divisible by 25.

Answer: C



How do we know what the question is asking? The number pq i.e 52 or the product pq i.e 10. Qs is not clear in my opinion.
Re: 2 digits pq is a multiple of 13. then pq=   [#permalink] 10 Feb 2018, 08:15
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