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Are positive integers m and n both multiples of 3?

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Are positive integers m and n both multiples of 3?  [#permalink]

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New post 22 Nov 2018, 02:34
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:37) correct 28% (01:23) wrong based on 143 sessions

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Are positive integers m and n both multiples of 3?  [#permalink]

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New post Updated on: 17 Jan 2019, 01:32
1
Bunuel wrote:
Are positive integers m and n both multiples of 3?

(1) Two-digit number mn, where m is the tens digit and n is the units digit, is a multiple of 9
(2) n is a multiple of 3


frm 1: mn can be 18,36 so yes and no that mn are multiples of 3 insufficient

frm 2: no info of m is insufficient

frm 1& 2: we can have n as 3,6,9 units digit and mn to be multiple of 9 can be 63,36... sufficient

IMO C is correct

Originally posted by Archit3110 on 22 Nov 2018, 02:58.
Last edited by Archit3110 on 17 Jan 2019, 01:32, edited 1 time in total.
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Re: Are positive integers m and n both multiples of 3?  [#permalink]

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New post 22 Nov 2018, 12:23
Archit3110 wrote:
Bunuel wrote:
Are positive integers m and n both multiples of 3?

(1) Two-digit number mn, where m is the tens digit and n is the units digit, is a multiple of 9
(2) n is a multiple of 3


frm 1: mn can be 18,36 so yes and no that mn are multiples of 3 insufficient

frm 2: no info of m is insufficient

frm 1& 2: we can have n as 3,6,9 units digit and mn to be multiple of 9 can be 18,36,27,36... so we get yes and no again

IMO E is correct



Hello

When we combine the statements, can we really take examples like 18, 27 etc??
We are given that n is a multiple of 3 so n can only be 3 or 6 or 9 isn't it?

So in that case, for the sum of m+n to be a multiple of 9 (coz then only the two digit number mn will be a multiple of 9), shouldnt m also be a multiple of 3 or 9?
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Re: Are positive integers m and n both multiples of 3?  [#permalink]

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New post 23 Nov 2018, 01:42
amanvermagmat wrote:
Archit3110 wrote:
Bunuel wrote:
Are positive integers m and n both multiples of 3?

(1) Two-digit number mn, where m is the tens digit and n is the units digit, is a multiple of 9
(2) n is a multiple of 3


frm 1: mn can be 18,36 so yes and no that mn are multiples of 3 insufficient

frm 2: no info of m is insufficient

frm 1& 2: we can have n as 3,6,9 units digit and mn to be multiple of 9 can be 18,36,27,36... so we get yes and no again

IMO E is correct



Hello

When we combine the statements, can we really take examples like 18, 27 etc??
We are given that n is a multiple of 3 so n can only be 3 or 6 or 9 isn't it?

So in that case, for the sum of m+n to be a multiple of 9 (coz then only the two digit number mn will be a multiple of 9), shouldnt m also be a multiple of 3 or 9?


amanvermagmat

Understood where I went wrong... C
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Re: Are positive integers m and n both multiples of 3?  [#permalink]

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New post 24 Dec 2018, 01:46
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Re: Are positive integers m and n both multiples of 3?   [#permalink] 24 Dec 2018, 01:46
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