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# If 8a = 6b and 3a = 0 then

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Math Expert
Joined: 02 Sep 2009
Posts: 64165
If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 04:36
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Difficulty:

25% (medium)

Question Stats:

76% (00:53) correct 24% (00:58) wrong based on 59 sessions

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If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 05:25
1
Bunuel wrote:
If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

If 3*a = 0 then a has to be zero.

So, 8a = 6b = 0, hence b must also be zero.

So, a = b.
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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 06:18
Bunuel wrote:
If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

Asked: If 8a = 6b and 3a = 0 then

3a=0 => a=0
8a=8*0=0=6b=> b=0
a=b=0
a & b are equal

IMO A
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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 09:30
1
Bunuel wrote:
If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

given
4a=3b ;
a=0
so b=0
hence a=b=0
IMO A:
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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 09:33
If 8a = 6b and 3a = 0 then

3a=0 => a=0
8a=8*0=0=6b=> b=0
a=b=0
a & b are equal

IMO A
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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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11 Aug 2019, 10:18
Bunuel wrote:
If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

Since $$3a = 0$$ ; $$a = 0$$

Now, $$8a = 6b = 0$$. Thus, $$b = 0$$, Answer must be (A) a and b are equal
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Re: If 8a = 6b and 3a = 0 then  [#permalink]

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14 Aug 2019, 16:42
Bunuel wrote:
If 8a = 6b and 3a = 0 then

(A) a and b are equal
(B) a =6
(C) b/a = 4/3
(D) a = 6 and b = 8
(E) a/b = 3/4

Since 3a = 0, then a = 0, and 8a = 0. Thus, 0 = 6b, and b = 0.

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Re: If 8a = 6b and 3a = 0 then   [#permalink] 14 Aug 2019, 16:42

# If 8a = 6b and 3a = 0 then

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