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How many television sets did a certain electronics store sell on Tuesd

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carcass
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How many television sets did a certain electronics store sell on Tuesd [#permalink] New post   30 Sep 2022, 00:49
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Question Stats:

92% (01:13) correct 8% (00:55) wrong based on 49 sessions
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How many television sets did a certain electronics store sell on Tuesday?

(1) The number of television sets sold on Tuesday was 5 fewer than twice the number sold on Monday.
(2) The number of television sets sold on Monday was 4 fewer than the number sold on Tuesday.


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divyadna
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Re: How many television sets did a certain electronics store sell on Tuesd [#permalink] New post   09 Oct 2022, 08:14
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Statement 1: T=2M-5
T?
We cannot determine value of T since value of M is unknown.

Statement 1 is insufficient.
Statement 2: M=T-4
T=M+4
We cannot determine value of T since value of M is unknown.
Statement 1+Statement 2: M+4=2M-5
M=9,T=9+4=13
Option C is the answer.

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Re: How many television sets did a certain electronics store sell on Tuesd [#permalink] New post   09 Oct 2022, 10:28
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We need to find # of TV sets sold on a particular day i.e. Tuesday

Let's screen the options
1. Presents us with 2 variable i.e. "# of TV sets sold on Monday" and "# of TV sets sold on Tuesday". With 2 unknown variable we cannot come to a conclusion - Not Sufficient

Eliminate A and D options

2. Same as Statement 1

Eliminate B

Let's combine --> 2 variables and 2 equations, when equated should give a definitive number to a variable, that's it.

We should not equate this any further, just an understanding of a likely solution is enough for a DS question.

Hence answer is C.
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Re: How many television sets did a certain electronics store sell on Tuesd [#permalink] New post   10 Oct 2022, 05:08
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carcass wrote:
How many television sets did a certain electronics store sell on Tuesday?

(1) The number of television sets sold on Tuesday was 5 fewer than twice the number sold on Monday.
(2) The number of television sets sold on Monday was 4 fewer than the number sold on Tuesday.

Solution:
Pre Analysis:
  • Let the number of TVs sold on Tuesday be \(T\)
  • We area sked the value of this \(T\)

Statement 1: The number of television sets sold on Tuesday was 5 fewer than twice the number sold on Monday
  • According to this statement, \(T=2M-5\)
  • However, we don't know the value of M
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: The number of television sets sold on Monday was 4 fewer than the number sold on Tuesday
  • According to this statement, \(M=T-4\)
  • However, we don't know the value of M
  • Thus, statement 2 alone is also not sufficient and we can eliminate option B

Combining:
  • From statement 1, \(T=2M-5\)
  • From statement 2, \(M=T-4\)
  • Now we can solve them and get the value of T

Hence the right answer is Option C
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Re: How many television sets did a certain electronics store sell on Tuesd [#permalink]
10 Oct 2022, 05:08
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